Answer:
The measure of angle JKM is 108°
Step-by-step explanation:
step 1
Find the value of x
we know that
The sum of the interior angles of a triangle must be equal to 180 degrees
so
∠M+∠L+∠MKL=180°
substitute the given values
4x+5x+6x=180°
15x=180°
x=12°
step 2
Find the measure of angle JKM
we know that
Angles MKL and JKM are supplementary angles
so
∠MKL+∠JKM=180°
6x+∠JKM=180°
substitute the value of x
6(12)+∠JKM=180°
∠JKM=180°-72°=108°
Answer:
108
Step-by-step explanation:
We know sum of all the 3 angles in a triangle is equal to 180. We can set up an equation for the triangle KML using the information given:
[tex]4x+5x+6x=180\\15x=180\\x=\frac{180}{15}=12[/tex]
So measure of Angle MKL is 6x, or 6(12) = 72
Now, we know Angle JKM + Angle MKL = 180 (straight line). Thus,
Angle JKM + 72 = 180
Angle JKM = 180 - 72 = 108
Lilly and Laura pooled their money to purchase
their brother, Liam, a video game for his birthday.
The video game cost a total of $45. If Laura was
only able to contribute of what Lilly did, how
much did Laura put toward the present?
Answer: $22.50
Step-by-step explanation: let x represent the amount Laura and Lilly contributed each. If Laura and Lilly contributed the same amount, x+x=2x=45. If 2x=45, divide both sides by 2 to find the value of x. 45/2= 22.5.
Laura contributed $15 toward the purchase of the video game.
Explanation:The question is asking to determine the amount contributed by Laura to buy a video game for their brother, Liam, if the entire cost of the game is $45 and Laura contributed half as much as Lilly. For simplicity, let's assume Lilly contributed x dollars. Then Laura, contributing half as much, would have contributed x/2 dollars. Given that their total contribution is $45, we set up the equation x + x/2 = 45. Solving for x, we find that Lilly contributed $30 and Laura, half of this, contributed $15.
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What is the product of (2x-1)(x+4)
Answer:
[tex]\large\boxed{(2x-1)(x+4)=2x^2+7x-4}[/tex]
Step-by-step explanation:
[tex](2x-1)(x+4)\qquad\text{use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\=(2x)(x)+(2x)(4)+(-1)(x)+(-1)(4)\\\\=2x^2+8x-x-4\qquad\text{combine like terms}\\\\=2x^2+(8x-x)-4\\\\=2x^2+7x-4[/tex]
What is the solution to this Logarithmic Equation?
(Those are L's infront of the N)
ln x + ln x = 0
Answer:
x = 1
Step-by-step explanation:
ln x + ln x = 0
2ln x = 0
ln x = 0
recall ln x = [tex]log_{e}[/tex]x
so equation becomes
[tex]log_{e}[/tex]x = 0
or [tex]e^{0}[/tex]=x
since anything raised to the power of zero = 1
x = 1
Answer:
x = 1
Step-by-step explanation:
We are to find the solution of the following logarithmic equation:
[tex] ln ( x ) + l n ( x ) = 0 [/tex]
We will add the similar elements to get:
[tex] 2 l n ( x ) = 0 [/tex]
Dividing both sides by 2 and simplify to get:
[tex] \frac { 2 l n ( x ) } { 2 } = \frac { 0 } { 2 } [/tex]
[tex]ln(x)=0[/tex]
Applying the rule [tex]a=log_b(b^a)[/tex] to get:
[tex]0=ln(e^0)=ln(1)[/tex]
[tex]ln(x)=ln(1)[/tex]
Here the logs have the same base, so:
x = 1
Evaluate 2(x + 1) - 3 when x = 6.
ОА. 5
ов. 8
Ос. 11
OD. 10
Answer:
C. 11
Step-by-step explanation:
Evaluate 2(x + 1) - 3 when x = 6.
2(x + 1) - 3 <== substitute 6 for x
2(6 + 1) - 3 <== distribute 2
2(6) + 2(1) - 3
12 + 2 - 3 <== add and subtract
14 - 3
11 <== answer
Hope this helps!
Hey there!
2(x + 1) - 3
= 2(6 + 1) - 3
= 2(7) - 3
= 14 - 3
= 11
OR
2(x + 1) - 3
= 2(6 + 1) - 3
= 2(6) + 2(1) - 3
= 12 + 2 - 3
= 14 - 3
= 11
Therefore, your answer is: 11
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Which statement best describes a square?
A. A special rectangle that has four right angles
B. A special trapezoid that has four sides of equal length
C. A special rectangle that has four sides of equal length
D. A special trapezoid that has four right angles
Answer:
I believe its B
I hope this helped :)
option C.
The statement that best describes a square is: A special rectangle that has four sides of equal length. This statement aligns with the definition of a square within the field of geometry, where a square is understood as a type of rectangle with all sides being the same length. Therefore, the correct answer is C. A special rectangle that has four sides of equal length.
A square indeed has four right angles, similar to a rectangle. By extension, it has congruent opposite sides and equal angles, but the defining feature that differentiates a square from other rectangles is the fact that all four sides are of equal length. The concept of rectangles forming squares can be seen in the given reference, implying that equal rectangles can be arranged to form a square - a concept important in understanding how a square is a special case of a rectangle.
Two cylinders. The smaller cylinder has height labeled as 1 cm. The larger cylinder has height labeled as 3 cm.
The cylinders are similar. The volume of the larger cylinder is 2106 cubic centimeters. What is the volume of the smaller cylinder?
93 cm3
81 cm3
78 cm3
65 cm3
Answer: third option.
Step-by-step explanation:
You know that the height of the smaller cylinder is 1 cm and the height of the larger cylinder is 3 cm, then you can find the volume ratio. This is:
[tex]Volume\ ratio=(\frac{1\ cm}{3\ cm})^3\\\\Volume\ ratio=\frac{1}{27}[/tex]
Knowing that the volume of the larger cylinder is 2,106 cubic centimeters, you need to multiply it by the volume ratio to find the volume of the smaller cylinder.
Therefore:
[tex]V_{smaller}=\frac{1}{27}(2,106\ cm^3)\\\\V_{smaller}=78\ cm^3[/tex]
ANSWER
The correct answer is C
EXPLANATION
We have that, the smaller cylinder has height 1 cm and the larger cylinder has height 3cm.
The scale factor of similarity is
[tex]k = \frac{1}{3} [/tex]
That's if the smaller cylinder is the image.
The volume of the larger cylinder is 2106 cm³.
To find the volume of the smaller cylinder, we multiply the volume of the larger cylinder by k³
[tex]( { \frac{1}{3} })^{3} \times 2106 {cm}^{3} [/tex]
[tex]{ \frac{1}{27} } \times 2106 = 78 {cm}^{3} [/tex]
What is the approximate area of a circle with a radius of 11 m?
Answer:
380.13
Step-by-step explanation:
area= (pi)x(r^2)
pi times r squared
Answer:
380 m^2 to the nearest whole number.
Step-by-step explanation:
That would be 3.14 * 11^2
= 380 .
A grocery store donated 60 dozen hot dog rolls to the local Youth Baseball League for their Opening Day ceremonies. A total of 679 hotdogs were served. (Hint: a dozen contains 12 items) a) How many dozen rolls were used? (Express your answer in mixed number form)
Answer:
7 7/12
Step-by-step explanation:
Find the amount of rolls in all that were donated:
60 x 12 = 720.
The total amount used is 679. Subtract 679 from 720:
720 - 629 = 91.
Find the amount per dozen. Divide 91 with 12:
91/12 = 7 7/12
7 7/12 is your answer.
~
The local Youth Baseball League used 56 dozen rolls with 7 extra rolls for a total of 679 hot dogs, which is expressed as 56 7/12 dozen.
Explanation:The local Youth Baseball League served a total of 679 hot dogs using rolls from the grocery store.
If a dozen represents 12 items, we need to calculate how many dozens of rolls were used in this circumstance.
Since 679 hot dogs were served and each dozen contains 12 rolls, we can divide 679 by 12 to find the number of dozens.
Dividing 679 by 12, we get:
679 ÷ 12 = 56 dozens with a remainder of 7.
Therefore, 56 dozen rolls were fully used, with an additional 7 rolls from another dozen.
To express this in mixed number form, it would be 56 7⁄12 dozen rolls.
Can someone help me with this
Hello There!
Your answer is the last option r*n^2
I plugged in the values for each of these dilations.
Rebecca has 45 coins, all nickels and dimes. The total value of the coins is $3.60. How many
of each type of coin does Rebecca have?
Answer:
Rebecca has 18 nickels and 27 dimes
Step-by-step explanation:
Let x be the number of nickels Rebecca has, then 45-x is the number of dimes she has.
The total value of Rebecca's coins is $3.60.
1 nickel - 5 cents
x nickels - 5x cents
1 dime - 10 cents
45-x dimes - 10(45-x) cents
Total x nickels and 45-x dimes is 5x+10(45-x) cents that is $3.60=360 cents. So,
5x+10(45-x)=360
5x+450-10x=360
5x-10x=360-450
-5x=-90
5x=90
x=18
45-x=45-18=27
A wave with a height of 5 feet and a wavelength of 10 feet has a wave base of
A. 20 feet
B. 10 feet
C. 5 feet
D. 2.5 feet
Answer:
A.
Step-by-step explanation:
Answer:
C. 5 feet
Step-by-step explanation:
If a wave with a height of 5 feet and a wavelength of 10 feet has a wave base of 5 feet.
B = x/2 = 10ft/2 = 5 feet
What is -a^-2 if a = -5? (PLEASE HELP WILL MARK BRAINLIEST!!!)
Answer:
-1/25
Step-by-step explanation:
-a^-2
-(-5)^-2
=-1/25
What is 2^(4/3)
equal to?
Answer:
∛16
Step-by-step explanation:
First, remember that the denominator always goes outside the radical and the numerator inside. so with that, it looks like this.
∛2^4
simplify.
∛16
Please please help me
Answer:
multiply 2/5 by 4
Step-by-step explanation:
When we divide fractions, we use copy dot flip
2/5 ÷ 1/4
Copy dot flip
2/5 * 4/1
For this case we must find the quotient of the following expression:
[tex]\frac {\frac {2} {5}} {\frac {1} {4}} =[/tex]
Applying double C we have:
[tex]\frac {2 * 4} {5 * 1} = \frac {8} {5}[/tex]
This is equivalent to multiplying the following: [tex]\frac {2} {5} * 4 = \frac {8} {5}[/tex]
Answer:
OPTION A
What will be the coordinates of vertex A of the image?
Answer:
(1.0)
Step-by-step explanation:
we know that
The scale factor of the dilation is 0.25 ----> given problem
The coordinates of point A(-5,-3) and F(3,1)
step 1
Find the x-coordinate of point A'
The horizontal distance between A and F is equal to
AFx=3-(-5)=8
The horizontal distance after dilation between A'F is equal to
A'F=0.25*8=2
so
the x-coordinate of vertex A' is equal to the x-coordinate of F minus the horizontal distance after dilation A'F
A'x=3-2=1
step 2
Find the y-coordinate of point A'
The vertical distance between A and F is equal to
AFy=1-(-3)=4
The vertical distance after dilation between A'F is equal to
A'Fy=0.25*4=1
so
the y-coordinate of vertex A' is equal to the y-coordinate of F minus the vertical distance after dilation A'F
A'y=1-1=0
therefore
The coordinates of vertex A of the image is (1.0)
Find measure of angle A
Round to the nearest degree
To solve this question, we must use the cosine rule:
cos(A) = (b^2 + c^2 - a^2)/2bc, where A is the angle you want to find, a is the side opposite that angle, and b and c are the other two sides of the triangle.
Given that we know that a = 6, b = 12, c = 14, we can substitute these values into the formula to get:
cos(A) = (12^2 + 14^2 - 6^2)/2(12)(14)
cos(A) = (144 + 196 - 36)/336
cos(A) = 304/336
cos(A) = 19/21
A = cos-1(19/21)
A = 25° (to the nearest degree)
Which functions could represent a reflection over the y axis of the given function
Answer:
g(x) = 1/2*(4)^(–x) and
g(x) =1/2*(1/4)^(x)
Please, see attached picture.
Step-by-step explanation:
Your full question is attached in the picture below
To easily solve this problem, we can graph each equation and see, which one represents a reflection of the function over the y axis.
See, second image.
The answers are
g(x) = 1/2*(4)^(–x) and
g(x) =1/2*(1/4)^(x)
Find the area of this figure
Answer:
22.34 km²
Step-by-step explanation:
Here we have a circle whose diameter is 5 1/3 km. As an improper fraction, that's 16/3 km. Half that, or 8/3 km, is the radius.
The area of a circle is A = πr², where r is the radius.
In this case, the area is A = π(8/3 km)², or (64/9)π km², or 22.34 km² (same as first answer choice).
Question 6 (5 points)
What is the slope of the line through (–4, 3) and (5, 3)?
Question 6 options:
a)
undefined
b)
0
c)
1
d)
9
[tex]\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{3}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{3-3}{5-(-4)}\implies \cfrac{0}{5+4}\implies \cfrac{0}{9}\implies 0[/tex]
Answer:
b 0
Step-by-step explanation:
To find the slope between 2 points
m= (y2-y1)/(x2-x1)
= (3-3)/(5--4)
= (3-3)/(5+4)
= 0/9
=0
The slope is 0
What is the product of (3a + 2)(4a2 - 2a + 9)?
12a3 - 2a + 18
12a + 6a +9
1203 - 6a2 + 23a + 18
12a3 + 2a + 23a + 18
To find the product of two expressions, we use the distributive property and multiply each term from the first expression with each term from the second expression, then combine the like terms.
The product of[tex](3a + 2)(4a^2 - 2a + 9) is 12a^3 - 6a^2 + 23a + 18.[/tex]
To find the product of two binomials, you can use the distributive property. In this case, you multiply each term in the first binomial, 3a and 2, by each term in the second binomial, 4a^2, -2a, and 9, and then combine like terms.
[tex](3a + 2)(4a^2 - 2a + 9) = 3a * 4a^2 + 3a * (-2a) + 3a * 9 + 2 * 4a^2 + 2 * (-2a) + 2 * 9[/tex]
Now, perform the multiplications:
[tex]12a^3 - 6a^2 + 27a + 8a^2 - 4a + 18[/tex]
Combine like terms:
[tex](12a^3 - 6a^2) + (27a - 4a) + 1812a^3 - 6a^2 + 23a + 18[/tex]
So, the product of[tex](3a + 2)(4a^2 - 2a + 9)[/tex]is indeed[tex]12a^3 - 6a^2 + 23a + 18.[/tex]
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The circle below is centered at the point (8, 4) and has a radius of length 4.
What is its equation?
Answer:
(x - 8)^2 + (y - 4)^2 = 16.
Step-by-step explanation:
The standard form can be written as:
(x - a)^2 + (y - b)^2 = r^2 where (a, b) is the center and r = the radius.
So here we have a = 8, b = 4 and r = 4.
(x - 8)^2 + (y - 4)^2 = 4^2
(x - 8)^2 + (y - 4)^2 = 16.
Help me please with this
Answer:
(b) 240
Step-by-step explanation:
First, we use the Pythagorean formula using the given side lengths to find x. Then we use x to find the side lengths. Then we add the side lengths to find the perimeter.
Pythagorean theorem formula:
a^2 + b^2 = c^2
(x - 20)^2 + (x - 40)^2 = x^2
x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2
x^2 -120x + 2000 = 0
(x - 100)(x - 20) = 0
x - 100 = 0 or x - 20 = 0
x = 100 or x = 20
We see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. The only valid solution is x = 100.
perimeter = sum of the lengths of the sides
perimeter = x + x - 20 + x - 40
perimeter = 3x - 60
Replace x with 100.
perimeter = 3(100) - 60
perimeter = 300 - 60
perimeter = 240
The teacher tells the class the highest marks obtained by a student in her class is twice the lowest marks plus 7 . the highest score is 87. what is the lowest score? (pls tell with example and formula) thanks! (i am in grade 7)!
Answer:
40
Step-by-step explanation:
highest=2(lowest)+7
Replace the variables here:
87=2(lowest)+7
minus 7 on both sides
80=2(lowest)
divide both sides by 2
40=lowest
Please help me on this I’m so tired and I can’t sleep until my progress is at 80 and this is the end of my year it’s at 79%
Answer:
The answer is the bottom left
Solve the equation for x.
3(6x - 1) = 12 Please help I've tried doing the math and I can't find out what I'm doing wrong
Answer:
edg 2021 answer is A
Step-by-step explanation:
What type of scan tool is shown in the above photograph?
A. Laptop computer adapter
B. Factory scan tool
C. Bluetooth interface
D. Generic scan tool
The scan tool shown in the photograph is a factory scan tool, which is designed for use with a specific brand or model of vehicle. It provides advanced diagnostics and requires a separate adapter to connect to a device. Generic scan tools are more affordable but have limited functionality.
Explanation:The scan tool shown in the photograph is a factory scan tool. Factory scan tools are specifically designed for use with a particular brand or model of vehicle.
They provide access to advanced diagnostics, including reading and clearing fault codes, monitoring live data, and performing special functions.
Factory scan tools are usually more expensive than generic scan tools, but they offer more comprehensive and accurate information for troubleshooting specific vehicle systems.
They often require a separate adapter or cable to connect to a laptop or other device.
In contrast, generic scan tools are more affordable and can work with multiple vehicle brands.
They typically have limited functionality and may not be able to access all the features and functions of a factory scan tool.
The type of scan tool that is shown in the above photograph is Bluetooth interface. Option C
Bluetooth interfaces are commonly used as scan tools for connecting to onboard diagnostics (OBD) systems in vehicles wirelessly.
They can be paired with compatible software on devices like smartphones or tablets, allowing users to retrieve diagnostic information from the vehicle's computer system.
This technology provides convenience and flexibility for automotive diagnostics.
What is the slope of (0,32) and (100,212)
Answer:
( 212 - 0 )/ ( 100 - 32 ) = 212 / 68 = 3.11 ;
Step-by-step explanation:
Let m = slope
m = (delta y)/(delta x)
m = (212 - 32)/(0 - 100)
m = 180/(-100)
m = -180/100
You can reduce -180/100 to the lowest term. I'll let you do that.
EASY QUESTION PLEASE HELP
Answer:
Yea its table 1
Step-by-step explanation:
Answer:
The answer is the first table, or Table 1.
Step-by-step explanation:
Happy to help! c:
What is the base of the exponential expression of 4 to the power of 5
The base of the exponential expression 4^5 is 4.
Explanation:The base of an exponential expression refers to the number being raised to a power.
In the exponential expression 4 to the power of 5, the base is 4 because it is the number being multiplied by itself 5 times.
Therefore, the base of the exponential expression 45 is 4.
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Help me I need to pass so I can go on to the next thing plz someone help me
Answer:
i cant see the picture
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
The scale factor is the ratio of the corresponding sides of the image to the original, that is
scale factor = [tex]\frac{CA'}{CA}[/tex] = [tex]\frac{4+16}{4}[/tex] = [tex]\frac{20}{4}[/tex] = 5