Answer:
My Answer Is ALWAYS.
Why I Think So:
It's Because As You Said...They Have Obtuse Angle, Which Can Never Change.
Obtuse triangles are sometimes similar if they have congruent angles; however, simply being obtuse does not guarantee similarity. The angles must match exactly among the triangles for them to be considered similar.
Explanation:Two obtuse triangles are sometimes similar but not always.
For two triangles to be similar, they must have exactly the same angle measurements, although the side lengths can differ by a consistent ratio.
In the case of obtuse triangles, they will be similar if they have one obtuse angle that is the same measure in both triangles and their other corresponding angles are also equal.
However, just having obtuse angles is not sufficient for similarity; the angles must be congruent, and in the case of an obtuse triangle, the other two angles must be specifically tailored so that all three angles are congruent to another triangle's angles.
The concept of triangle similarity falls under the Uniqueness of Solutions which denotes that a triangle is determined by three known elements, but these do not always provide a unique solution.
While often seen in the context of right triangles, such as when applying the Pythagorean Theorem, for obtuse triangles, similarity is determined by angle congruence rather than side lengths.
This implies that if two obtuse triangles have all three angles congruent, they are similar by definition. If not, they are not similar
Luke can paint 91 portraits in 7 weeks.
How many portraits can Luke paint in 4weeks?
Answer:
First you have to find out how many he paints in 1 week.
Divide 91/7
You should then have 13 as your answer.
Then do 13 times 4 which would equal 52.
4 weeks = 52 portraits
If you want to see if it is right you can add 13 from 52 and once your at 7 you'll have 91.
Hope this helps! :)
If you know a point on a line and you know the equation of a line parallel to this line, explain how to write the line’s equation.
Answer:
For the given question,the equation of the asked line would be same as that of the line parallel to it but the only difference would be in the constant part.
Step-by-step explanation:
the equtions of the lines (variable parts) would be the same but the constant part will be different according to the point known on the particular line.
Hakeem shot the basketball 28 times and made 17 baskets. What percent of his shots were baskets?
Answer:
60%
Step-by-step explanation:
To find the percentage of successful basketball shots, divide the number of made shots by the total number shots taken, then multiply by 100. In Hakeem's case, his shooting percentage is approximately 61%.
Explanation:This is a question about calculating a percentage, which is a basic concept in Mathematics. Percentages are a way of expressing a number or proportion as a fraction of 100. In this case, Hakeem made 17 out of 28 basketball shots. This can be expressed as a fraction – 17/28. To convert this fraction into a percentage, you simply multiply it by 100.
Here is the calculation: (17 / 28) * 100 = 60.71. Therefore, Hakeem made approximately 61% of his basketball shots.
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How many solutions does this system have? 2 x + 3 y = negative 3. 3 x + 5 y = negative 9. one two an infinite number no solution
Answer: one solution
Step-by-step explanation: Given :
2x + 3y = -3 ........................... equation 1
3x + 5y = -9 ........................... equation 2
Solving the system of linear equation by elimination method. We will multiply equation 1 by 3 and equation 2 by 2, then we have
6x + 9y = -9 ........................ equation 3
6x + 10y = -18 .................... equation 4
Subtract equation 3 from equation 4 , ten we have
y = -9
substitute y = -9 into equation 1 to find the value of x , that is
2x + 3y = -3
2x + 3 ( -9 ) = -3
2x - 27 = -3
2x = -3 + 27
2x = 24
x = 12
Therefore , x = 12 and y = -9 . This means that the system has one solution since there is only one value for x and one value for y
Divide using long division or Synthetic Division.
2x^3-3x^2-5x-12 dividing by x-3
Answer:
2x^2 + 3x + 4
Step-by-step explanation:
generally, using long division,
(2x^3-3x^2-5x-12)/(x-3) = 2x^2 + 3x + 4
Answer:
2x^2 + 3x + 4
Step-by-step explanation:
generally, using long division,
(2x^3-3x^2-5x-12)/(x-3) = 2x^2 + 3x + 4
Please help! Will mark brainlyest
Answer:
steps in attached picture
Step-by-step explanation:
if f(x) =4x -6 and g(x)=x +2
Answer:
Step-by-step explanation:
What's the question?
what will be the answer for :-
60 divide half
Answer:
-120
Step-by-step explanation:
-60/1/2 = -60/1 x 2
= -120/1
= -120
please select the word from the list that best fits the definition
the means by which a society provides its members with things needed.
chemical
matter
chemistry
technology
It sounds like D) technology is the best fit here.
Technology is used to help provide people with the things they need, for example clean water.
pls help idk how to work it out❤️
Answer:
I don't know how to explain the math, but I know the answer is 115 women for every 100 men.
Answer:
about 115 women
Step-by-step explanation:
You need to raise the value on the left side of the ratio by a factor of 100/87. Multiply both numbers by that factor, and you get ...
(100/87)(87) : (100/87)(100)
= 100 : (10,000/87) = 100 : 114.9425...
≈ 100 : 115
There are about 115 women for each 100 men.
Sharon serves the volleyball with an upward velocity of 23 ft/s. The ball is 3.5 ft above the ground when struck. How long does Barbara have before the ball hits the ground?
We can use the kinematic equation:
h = vi*t + 0.5*a*t^2
where h is the initial height, vi is the initial velocity, a is the acceleration due to gravity (9.8 m/s^2 or 32 ft/s^2), and t is the time.
Since we want to find the time it takes for the ball to hit the ground, we can set h = 0 and solve for t:
0 = 23*t - 0.5*32*t^2 + 3.5
0 = -16t^2 + 23t + 3.5
Using the quadratic formula, we get:
t = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = -16, b = 23, and c = 3.5.
t = (-23 ± sqrt(23^2 - 4*(-16)*3.5)) / 2*(-16)
t = (-23 ± sqrt(529)) / (-32)
t = (-23 ± 23) / (-32)
t = 0.125 s or 1.438 s
Since we are looking for the time it takes for the ball to hit the ground, we only want the positive solution:
t = 1.438 s
Therefore, Barbara has about 1.438 seconds before the ball hits the ground.
Final answer:
Barbara has approximately 1.43 seconds before the volleyball served by Sharon with an upward velocity of 23 ft/s and from a height of 3.5 ft hits the ground.
Explanation:
To determine how long Barbara has before the volleyball hits the ground, we need to use the kinematic equations for projectile motion, assuming the ball is moving under the influence of gravity alone. Since Sharon serves the volleyball with an upward velocity of 23 ft/s and the initial height is 3.5 ft, we can use the following kinematic equation:
[tex]s = ut + (1/2)at^2[/tex]
Where:
s is the displacement (which is -3.5 ft because the ball is falling to the ground, hence the negative sign)
u is the initial velocity (23 ft/s upwards, hence positive)
a is the acceleration due to gravity ( [tex]-32 ft/s^2[/tex], negative because it is directed downward)
t is the time
Plugging in the values we get:
[tex]-3.5 = 23t - (1/2)(32)t^2[/tex]
This is a quadratic equation in the form of [tex]at^2 + bt + c = 0[/tex] , where a = -16, b = 23, and c = -3.5. We can solve for t using the quadratic formula [tex]t = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}[/tex]. After calculating, we find that t is approximately 1.43 seconds. However, since time cannot be negative, we take the positive value which is the time it takes for the ball to hit the ground.
Therefore, Barbara has approximately 1.46 seconds before the volleyball hits the ground.
1 more than twice as many CDs is 17
Let [tex]\( x \)[/tex] be the number of CDs. The equation representing the statement "1 more than twice as many CDs is 17" is [tex]\( 2x + 1 = 17 \).[/tex]
Explanation:Let's break down the statement into a mathematical expression. "Twice as many CDs" is represented by [tex]\( 2x \)[/tex]. Adding "1 more than" to this gives [tex]\( 2x + 1 \)[/tex]. Finally, the statement "is 17" translates to [tex]\( 2x + 1 = 17 \),[/tex] creating the equation that represents the given information.
The complete question is: Explain the statement "1 more than twice as many CDs is 17"
The attic floor, ABCD in the model, is a square. The beams that support the roof are the edges of a block (rectangular prism) EFGHKLMN. E is the middle of AT, F is the middle of BT, G is the middle of CT and H is the middle of DT. All the edges of the pyramid in the model have length 12m.
Calculate the area of the attic floor ABCD.
Answer:
The area of ABCD = 12² = 12 * 12 = 144 m²
Step-by-step explanation:
Given that ABCD in the model, is a square.
All the edges of the pyramid in the model have length 12m.
So, the length of one side of the square = 12 m
The area of the square = (side length)²
∴ the area of ABCD = 12² = 12 * 12 = 144 m²
Answer:
Its 144m^2
Step-by-step explanation:
The circumference of a circle is 15 meters. Determine the diameter. Use 3 for pie.
The diameter of a circle with a circumference of 15 meters, using 3 for pi, is 5 meters.
Explanation:To determine the diameter of a circle when given its circumference and using 3 as the approximation for pi, you can use the formula for the circumference of a circle, which is C = πd, where C is the circumference and d is the diameter. Since we're using 3 for pi (π), when C = 15 meters, the formula becomes 15 = 3d. To find the diameter, divide both sides of the equation by 3, giving us d = 15 / 3, which equals 5 meters.
Which quantity is proportional to 21⁄3?
Answer:
7/1
Step-by-step explanation:
simplify top and bottom by 3
A dog is standing 5ft from the base of a tree trying to catch a cat that is 16 ft up in the tree. What is the angle of elevation from the point the dog standing on the ground to the cat in the tree?
May i have some help
Answer:
72.64°
Step-by-step explanation:
Tan θ 16/5
θ= tan-1 (16/5)
=72.64°
The the angle of elevation from the point the dog is standing on the ground to the cat is 72.6 degrees
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have given that a dog is standing 5 feet from the base of a tree, looking up at a cat that has climbed 16 feet up the tree
We have to find the angle of elevation
We can see in a figure.
What is the angle of elevation?
The angle between the horizontal line of sight and the object.
Use inverse trig because we are finding a missing angle.
use tan because we have given height of tree (one side) and a distance between dog and tree(second side)
TanΘ = opposite/adjacent
Apply inverse of tan both sides,
Θ = [tex]tan^{-1}[/tex](16/5)
Θ = 7.26
Therefore,
The the angle of elevation = 72.6 degrees
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I NEED THE ANSWER ASAP PLEASE
Answer: exactly 100
Step-by-step explanation:
Answer:
500 CDs
Step-by-step explanation:
We have the ratio of [tex]15:6[/tex] for each worker. If you have a 40 hour work week, we can assume that they work 5 days a week. This means they have a 5*40=200 hours to work. If we multiply the ratio to get [tex]x:200[/tex]while it still equals our first one, we multiply and get 500 CDs.
What is the value of the interquartile range of the dea below?
4 5 8 13
Answer: 5
On god bro, Trust me
10y-50=
10y−50=
\,\,-20
−20
Answer:
Therefore the value of 'y' is,
[tex]y=3[/tex]
Step-by-step explanation:
Given:
[tex]10y-50=-20[/tex]
To Find:
y= ?
Solution:
[tex]10y-50=-20[/tex] ........Given
Step 1. Adding 50 to both the side we get
[tex]10y-50+50=-20+50\\10y=30[/tex]
Step 2. Dividing by 10 on both the side we get
[tex]\dfrac{10y}{10}=\dfrac{30}{10}\\\\y=3[/tex]
Therefore the value of 'y' is,
[tex]y=3[/tex]
what is the number of times a base is multiplied by its self indicated by an exponent
The question is worded a bit strangely (in my opinion anyway), but I think your teacher wants you to describe how exponents work.
Let's say we had the expression [tex]5^3[/tex]
The base is 5 as its the bottom most value (think of something like the base of a tree or building). The exponent is 3.
The exponent of 3 tells the reader to multiply the base 5 by itself 3 times like so
[tex]5^3 = 5*5*5 = 125[/tex]
With larger exponents, it becomes more tedious to write out all the repeated multiplications, which is why many calculators have an exponent button to save time.
An exponent signifies how many times a base is multiplied by itself. The expression "5 squared" (5²) means 5 x 5 = 25. Similarly, "5 cubed" (5³) means 5 x 5 x 5 = 125. This concept of exponentiation is essential in mathematics for representing repeated multiplication of a number.
An exponent indicates the number of times a base is multiplied by itself. For example, the exponent "2" in the expression "5²" means that the base "5" is multiplied by itself, resulting in 5 x 5 = 25. This is also known as squaring a number. Similarly, an exponent of "3" denotes cubing, which means the base is multiplied by itself three times. For instance, 5³ equals 5 x 5 x 5, which equals 125.
It's also important to understand that when we talk about exponents, we are often referring to powers. If the base is "b" and the exponent is "n", then the expression can be written as bn, indicating a chain of multiplications of "b", "n" times. For instance, witnessing an expression like (10²)³, we multiply the exponents to get a new exponent (2 x 3 = 6), resulting in 10⁶.
The concept of exponents is a foundational element in various mathematical operations and is crucial for understanding more complex mathematical concepts.
Lesson Review
Directions: Solve the following inequalities. Be sure to follow the rules for operations with signed numbers.
1. -8x + 2 > 0
2. +5x > x + 4
3. 12x + 4 < 10
4. -10x + 5 - 4 > 4x + 3
5. 6x + 5 < 7x - 10
6. 24x - 4 < 8x + 2
7. -3s + 3 > 9
8. 4s + 2s > 6
9. 6t < 12
10. 11x < 121
11. 3x > 36
12. 25x < 400
13. 16r < 8(8)
14. 6s > 216
15. 9x < 63
(Can somebody please help me i would really appreciate it)(16 points)
Here are the solutions to the inequalities:
[tex]1. \(x < \frac{1}{4}\)[/tex]
[tex]2. \(x > 1\)[/tex]
[tex]3. \(x < \frac{1}{2}\)[/tex]
[tex]4. \(x < \frac{-1}{7}\)[/tex]
[tex]5. \(x > 15\)[/tex]
[tex]6. \(x < \frac{3}{8}\)[/tex]
[tex]7. \(s < -2\)[/tex]
[tex]8. \(s > 1\)[/tex]
[tex]9. \(t < 2\)[/tex]
[tex]10. \(x < 11\)[/tex]
[tex]11. \(x > 12\)[/tex]
[tex]12. \(x < 16\)[/tex]
[tex]13. \(r < 4\)[/tex]
[tex]14. \(s > 36\)[/tex]
[tex]15. \(x < 7\)[/tex]
Of course, I'd be happy to help you solve these inequalities! Let's go through each one step by step:
[tex]1. \(-8x + 2 > 0\)[/tex]
First, let's isolate x:
[tex]\(-8x > -2\)[/tex]
Divide both sides by -8, and remember to reverse the inequality sign:
[tex]\(x < \frac{-2}{-8}\) \\\(x < \frac{1}{4}\)[/tex]
[tex]2. \(+5x > x + 4\)[/tex]
Subtract x from both sides:
[tex]\(+4x > 4\)[/tex]
Divide both sides by 4, and remember to reverse the inequality sign:
[tex]\(x > \frac{4}{4}\) \\ \(x > 1\)[/tex]
[tex]3. \(12x + 4 < 10\)[/tex]
Subtract 4 from both sides:
[tex]\(12x < 6\)[/tex]
Divide both sides by 12:
[tex]\(x < \frac{6}{12}\)\\ \(x < \frac{1}{2}\)[/tex]
[tex]4. \(-10x + 5 - 4 > 4x + 3\)[/tex]
Combine like terms:
[tex]\(-10x + 1 > 4x + 3\)[/tex]
Subtract 1 from both sides:
[tex]\(-10x > 4x + 2\)[/tex]
Add 10x to both sides:
[tex]\(0 > 14x + 2\)[/tex]
Subtract 2 from both sides:
[tex]\(-2 > 14x\)[/tex]
Divide both sides by 14, and remember to reverse the inequality sign:
[tex]\(x < \frac{-2}{14}\) \\\(x < \frac{-1}{7}\)[/tex]
[tex]5. \(6x + 5 < 7x - 10\)[/tex]
Subtract 6x from both sides:
[tex]\(5 < x - 10\)[/tex]
Add 10 to both sides:
[tex]\(15 < x\)[/tex]
6.[tex]\(24x - 4 < 8x + 2\)[/tex]
Subtract 8x from both sides:
[tex]\(16x - 4 < 2\)[/tex]
Add 4 to both sides:
[tex]\(16x < 6\)[/tex]
Divide both sides by 16:
[tex]\(x < \frac{6}{16}\) \\\(x < \frac{3}{8}\)[/tex]
7. [tex]\(-3s + 3 > 9\)[/tex]
Subtract 3 from both sides:
-3s > 6
Divide both sides by -3, and remember to reverse the inequality sign:
[tex]\(s < \frac{6}{-3}\) \\ \(s < -2\)[/tex]
8. [tex]\(4s + 2s > 6\)[/tex]
Combine like terms:
6s > 6
Divide both sides by 6:
[tex]\(s > \frac{6}{6}\) \\ \(s > 1\)[/tex]
9. [tex]\(6t < 12\)[/tex]
Divide both sides by 6:
[tex]\(t < \frac{12}{6}\)\\ \(t < 2\)[/tex]
10. 11x < 121
Divide both sides by 11:
[tex]\(x < \frac{121}{11}\)\\ \(x < 11\)[/tex]
11. 3x > 36
Divide both sides by 3:
[tex]\(x > \frac{36}{3}\) \\ \(x > 12\)[/tex]
12. 25x < 400
Divide both sides by 25:
[tex]\(x < \frac{400}{25}\) \\\(x < 16\)[/tex]
13. [tex]\(16r < 8(8)\)[/tex]
Simplify the right side:
16r < 64
Divide both sides by 16:
[tex]\(r < \frac{64}{16}\) \\ \(r < 4\)[/tex]
14. 6s > 216
Divide both sides by 6:
[tex]\(s > \frac{216}{6}\) \\ \(s > 36\)[/tex]
15. 9x < 63
Divide both sides by 9:
[tex]\(x < \frac{63}{9}\) \\ \(x < 7\)[/tex]
A specific shade of green glaze is made of 5 parts blue glaze to 3 parts yellow glaze. A glaze mixture contains 25 quarts of blue glaze and 9 quarts of yellow glaze. How can you fix the mixture to make the specific shade of green glaze?
Answer: For every 5 quarts of blue, you should have 3 quarts of yellow. Since you have 25 quarts of blue in the mix (5*5), there should be 3*5 or 15 quarts of yellow. As there are only 9, you need to add 6 quarts of yellow to get the proper ratio of blue to yellow.
Step-by-step explanation:
Final answer:
To create the specific shade of green glaze, one must adjust the existing mix of 25 quarts blue and 9 quarts yellow to reach a 5:3 blue to yellow ratio. The calculation shows that an additional 6 quarts of yellow glaze are needed to achieve the desired shade.
Explanation:
To achieve the specific shade of green glaze, which is made of 5 parts blue to 3 parts yellow, we must adjust the current mixture of 25 quarts blue glaze and 9 quarts yellow glaze. We first determine the ratio of blue to yellow glaze in the current mixture:
25 quarts blue / 9 quarts yellow = approximately 2.78 parts blue to 1 part yellow.
To achieve the desired 5:3 ratio, the blue glaze needs to be reduced or the yellow glaze needs to be increased. Since removing material can be difficult, we focus on adding yellow glaze. Using the proportion method:
5 parts blue / 3 parts yellow = 25 parts blue / x parts yellow
We cross-multiply and solve for x, the amount of yellow glaze needed:
5x = 75 → x = 15
Therefore, we would need 15 parts of yellow glaze to match 25 parts of blue glaze. Since we already have 9 parts (quarts) of yellow glaze, we need to add:
15 - 9 = 6 quarts of yellow glaze.
Finally, add 6 more quarts of yellow glaze to achieve the specific shade of green glaze.
The builder buys a second property that has 0.41 times as many acres as the first property. How many acres of land are in the second property?
Answer:
6.601
Step-by-step explanation:
16.1(0.41)
Ben watches TV about 14 hours each week. He watches TV about eight and a half hours on the weekend what is the average number of minutes he watches TV each weekday
Answer:168 minutes
Step-by-step explanation:
14 / 5=2.8 x60=168
How do the 5s in 50.8 and 18.35 compare?
The value of the 5 in 50.8 is 1,000 times the value of the 5 in 18.35.
The value of the 5 in 50.8 is 100 times the value of the 5 in 18.35.
The value of the 5 in 50.8 is 1100 the value of the 5 in 18.35.
The value of the 5 in 50.8 is 11,000 the value of the 5 in 18.35.
The value of the 5 in 50.8 is 1,000 times the value of the 5 in 18.35 ⇒ 1st answer
Step-by-step explanation:
Let us revise some important notes in a number:
Every digit in a number has a place valuePlace value is the value represented by a digit in a numberEx: the place value of 2 in the number 2,345 is 1,000 because 2 is in the thousands place, the place value of 9 in 12.29 is 0.01 because 9 is in the hundredths place∵ The number is 50.8
∵ 5 is in the tens place
∴ The place value of 5 is 10
∵ The number is 18.35
∵ 5 is in the hundredths place
∴ The place value of 5 is 0.01
Let us compare between the places value of 5 in the two numbers
Let x the number which multiplying by the hundredth digit to give the ten digit
∵ 10 = x × 0.01
∴ 10 = 0.01 x
- Divide both sides by 0.01
∴ 1,000 = x
∵ 5 × 10 = 0.05 × 1000
∴ 50 = 50
∴ The value of 5 in 50.8 = 1,000 × the value of 5 in 18.35
The value of the 5 in 50.8 is 1,000 times the value of the 5 in 18.35
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Use the determinant of the coefficient matrix to determine which of the following linear systems have
unique solutions.
0 X+ 3y = 4
3.x - y = 5
x+2y – z = 8
x-y+22=0
2x - 3y + z = 1
O
x + 3y + z = 4
2x+6y + 2z = 5
X+ y + z = 0
DONE
Answer:
A. x+3y =4
A. 3x-y=5
B. x+2y-z =8
B. X-Y+22 =0
B. 2X-3Y+Z =1
Step-by-step explanation:
To determine which linear systems have unique solutions, calculate the determinant of the coefficient matrix for each system.
Explanation:In order to determine which of the given linear systems have unique solutions, we need to use the determinant of the coefficient matrix.
To do this, we need to calculate the determinant of the 3x3 coefficient matrix for each system:
System 1:
0x + 3y = 4
3x - y = 5
x + 2y - z = 8
Determinant = (0) (-1) (-2) + (3)(1)(1) + (1)(3)(1) - (3)(-1)(1) - (1)(3)(-2) - (0)(2)(1) = 18
Since the determinant is non-zero (18), System 1 has a unique solution.
Similarly, we can calculate the determinants for the other systems to determine their solutions.
System 2: determinant = -88
System 3: determinant = -48
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Assume that the probability of a driver getting into an
accident is 4.2% and that the average cost of an accident is
$29,500. If the driver's insurance premium is $1354.00, what
is the overhead cost for the insurance company to insure the
driver?
A. $160
B. $190
C. $115
D. $290
Answer: $115
Step-by-step explanation:
The overhead cost for the insurance company to insure a driver, given a 4.2% accident probability and an average accident cost of $29,500, with the premium of $1,354, is $115.
Explanation:The subject matter is on determining the overhead cost for an insurance company. The probability of a driver having an accident is 4.2% or 0.042 in decimal. The cost of an accident is $29,500. Therefore, the expected cost of a claim is 0.042 * $29,500 = $1,239. The insurance premium paid by the driver is $1,354. The overhead cost for the company is the premium minus the expected cost of claim. So, the overhead cost is $1,354 - $1,239 = $115. Therefore, the answer is C. $115
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Find the value of s(t(-5)):
s(x) = - 3x-2
t(x)=5x - 4
s(t(-5)) First find t(-5), since you know x = -5, substitute/plug in -5 for x in t(x) = 5x - 4
t(x) = 5x - 4
t(-5) = 5(-5) - 4
t(-5) = -25 - 4
t(-5) = -29
s(t(-5)) plug in -29 for t(-5)
s(-29) = -3(-29) - 2 (- times a - equals a positive)
s(-29) = 87 - 2
s(-29) = 85
Your answer is 85
From the set {36, 16, 13}, use substitution to determine which value of x makes the equation true. 3x = 39
Answer:
Step-by-step explanation:
3x = 39.....so instead of just subbing in all ur answer choices....just solve for x
3x = 39...divide both sides by 3, cancelling out the 3 on the left side
x = 39/3
x = 13 <=====
kevin is planting a triangular garden where 2 sides of the garden come together at an angle of 35°. If 1 unknown angle in the triangle is 4 times as large as the second unknown angle in the triangle, what are the measures of the unknown angles in Kevin's triangular garden?
a. The second angle is 105, and the third angle is 29°
b. The second angle is 140°, and the third angle is 35º
c. The second angle is 120°, and the third angle is 30°.
d. The second angle is 116, and the third angle is 29°
Answer:
d. The second angle is 116, and the third angle is 29°
Step-by-step explanation:
second unknown angle be x
the other unknown angle = 4*x = 4x
x+ 4x + 35 = 180 {sum of all angles of triangle}
5x = 180-35 = 145
x = 145/5
x = 29
the other unknown angle = 4x = 4*29 = 116