Study the Proof: Give the reasons for the missing reason. List the number and then state the reason
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1. Given
2. Segment Addition Postulate
3. Add BC on the both sides
Related Questions
Which of the following numbers is not part of the solution to x > 1?
1
1.2
4
8
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Answer:
the answer is 1
hpoe this helps
Which of the following measurements is equivalent to 5 quarts? 25 cups 40 fl. oz. 10 pt. 1 gal.
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Branliest offered
Decide which of the two points on the graph of the line
X=0
A. 0,7
B. -4,0
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hope this helps
Large reusable bottles cost $4 more than small ones. 8 large bottles cost $24 less than 12 small ones. How much does one small bottles cost?
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8 + 12 = 20
28-20=8
You claim to have a magic coin that will land on heads whenever you want. Your friend dares you to prove it by tossing 4 heads in a row. Assuming the coin is fair, what is the probability that your magic will fail?
A) 50%
B) 62.5%
C) 75%
D) 93.75%
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because every time you flip it, you lose half the chance for it to land on heads
50%-75%-93%
D) 93.75%
Consider the system of equations
{ -2x + 6y = -8
{ cx + 3y = -4
What value of c would produce a system that has an infinite number of solutions?
Justify your answer.
Explain why there is no value of c that would produce a system with no solution.
Enter your answer, justification, and explanation in the box provided.
Answers
Make c = -1 and they are the same linear equation. (same slope, same intercepts, same line) and therefore have infinite solutions.
In order to have no solutions, the lines cannot cross at all and so they must be parallel but not the same line. Parallel lines have the same slope with different intercepts. if you rearrange both equations in slope intercept form:
y = x/3 - 4/3
y = - cx/3 - 4/3
no matter what you make c the lines will always cross at the y-intercept (0, -4/3). this is a solution and therefore there's no value of c that would produce a system with no solution.
4=3/4m-6
find the value of m
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4 = 3/4m -6
add 6 to both sides
10 = 3/4m
divide both sides by 3/4
m = 10 / 3/4 = 10 *4 = 40 /3 = 13 1/3
The measure of each interior angle of a regular polygon is 140 degrees, how many sides does the polygon have
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[(n-2)180]÷n = 140
(n-2)180 = 140n
180n -360 = 140n
180n -140n = 360
40n = 360
n=360÷4 = 90 sides
The regular polygon with an interior angle of 140 degrees has 9 sides. This conclusion can be reached by using the formula for the interior angle of a polygon, which is (n-2)*180/n, where 'n' represents the number of sides.
Explanation:
The number of sides in a regular polygon can be determined using the formula for the interior angle of a polygon, which is (n-2)*180/n, where 'n' represents the number of sides. This formula comes from the fact that a polygon can be divided into (n-2) triangles, each of which has angles summing up to 180 degrees.
In this particular case, an interior angle of 140 degrees is given. So we will set up an equation: 140 = (n-2)*180/n. Solving for 'n', we get a value of 9.
Therefore, the regular polygon with an interior angle of 140 degrees has 9 sides.
Learn more about Interior angles of polygons here:https://brainly.com/question/35498523
#SPJ12
One canned juice drink is 30 percent orange juice, another is 10 percent orange juice. how many liters of each should be mixed together in order to get 20l, that is 12 perfect orange juice
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0.30x+0.10(20-x)=20*0.12
0.3x+2-0.1x=2.4
0.2x=0.4
x=2
20-x=20-2=18
mix 2 litters of 30 percent juice and 18 litters of 10 percent juice.
HELP PLEASE APPRECIATED Margarita is driving at the speed of s-4/ s^2- 9s + 20 miles per hour.
The distance Margarita covers in s-5/4 hours is ___ miles.
Give the answer in simplest form.
Only correct answers and please show your work so I can refer to it on my other problems. thank you.
Answers
d = [(s – 4) ⁄ (s² – 9s + 20)] • [(s – 5) ⁄ 4] ... rearrange terms
d = (s – 4) • (s – 5) ⁄ [4(s² – 9s + 20)] ... factor denominator
d = (s – 4) • (s – 5) ⁄ [4(s – 4) • (s – 5)]
d = ¼ mile
The distance Margarita covers in [tex]\( \frac{s-5}{4} \)[/tex]hours is [tex]\( \frac{1}{4} \)[/tex] miles.
Given that Margarita is driving at the speed of [tex]\( \frac{s-4}{s^2 - 9s + 20} \)[/tex] miles per hour, we can express the distance function as:
[tex]\[ d(s) = \text{speed} \times \text{time} = \left( \frac{s-4}{s^2 - 9s + 20} \right) \times s \][/tex]
[tex]\[ d\left(\frac{s-5}{4}\right) = \left( \frac{s-4}{s^2 - 9s + 20} \right) \times \frac{s-5}{4} \][/tex]
Let's simplify this expression:
[tex]\[ d\left(\frac{s-5}{4}\right) = \frac{(s-4)(s-5)}{4(s^2 - 9s + 20)} \][/tex]
[tex]\[ d\left(\frac{s-5}{4}\right) = \frac{s^2 - 9s + 20}{4(s^2 - 9s + 20)} \][/tex]
[tex]\[ d\left(\frac{s-5}{4}\right) = \frac{1}{4} \][/tex]
How is the distance formula like the pythagorean theorem explain?
Answers
The distance formula is
simply a variation of the theorem. The method is the same with the Pythagorean
however we are now dealing with 2 sets of points instead of 2 lengths.
In the distance formula, the lengths are derived from the
(x1,y1)->(x2,y2) coordinate points and the formula simplified. We still
square the difference of x’s and difference of y’s to get our two squares then
square root the sum to give our length. While the Pythagorean theorem is
directly the sum of the square of the other two sides.
Nevertheless, both formulas work on the same principle.
Answer:
Both formulas can be used to find the distance between two points on the coordinate plane. The vertical leg of the right triangle represents the difference in the y values of the two points. The horizontal leg of the right triangle represents the difference in the x values of the two points. The hypotenuse of the right triangle represents the distance between the two points.
Step-by-step explanation:
What is the value of x?
a. -16
b. 120
c. 60
d. 16
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Set the equation:
8x - 8 = 7x + 8
Add 8 to both sides of the equation.
8x - 8 + 8 = 7x + 8 + 8
8x = 7x + 16
Subtract 7x from both sides of the equation.
8x - 7x = 7x - 7x + 16
x = 16
Answer: D) 16
Checking to see if our answer is right.
8x - 8 = 7x + 8
8(16) - 8 = 7(16) + 8
128 - 8 = 112 + 8
120 = 120
If be bisects abd find x and m angle abe
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how do u solve using the ratios !
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surely you know how much that is.
So I’m doing test corrections and I need help on the problem
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_________________________________________
Note: [w^(-4/3) ] ^ (1/6) = w ^ [ (-4/3) * (1/6) .
_________________________________________
(-4/3) * (1/6) = (-4 * 1) / (3 * 6) = -4 / 18 = (-4÷2) / (18÷2) = -2/9 ;
_________________________________________
So; [w^(-4/3) ] ^ (1/6) =
_________________________________________
w ^(-2/9) .
_________________________________________
Convert the radian measure to degree measure. use the value of π found on a calculator and round answers to two decimal places. five pi divided by six
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1 rad = 180/π
so
5π/6 rad = 180/π × 5π /6 = 5×30 = 150.00° (to 2Dp)
Find the value of X, can someone help me?
Answers
72(3x - 20) = 9 (56)
216x - 1440 = 504
216x = 1944
x = 9
Factor this expression completely.
mr + ns - nr - ms
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[tex]mr+ns-nr-ms[/tex]
Rearrange.
[tex]mr-nr-ms+ns[/tex]
Factor by grouping.
[tex]r(m-n)+s(-m+n)[/tex]
Multiply the expression by -1.
[tex]r(m-n)-1(+s(-m+n))[/tex]
Simplify.
[tex]r(m-n)-s(m-n)[/tex]
Find the GCF.
[tex](m-n)(r-s)[/tex]
Hope this helps.
-Benjamin
∠E and ∠F are vertical angles with m∠E=8x+8 and m∠F=2x+38 . What is the value of x? Enter your answer in the box.
Answers
Answer:
x = 5
Step-by-step explanation:
We need to remember that vertical angles are opposite to each other when two lines cross. The vertical angles that result from two lines crossing have the same measure.
In this problem we have angle E which measures 8x + 8 and angle F which measure 2x + 38.
Since they are vertical angles, we know that they have the same measure and therefore we can equal them both and solve for x:
[tex]8x+8=2x+38\\8x-2x=38-8\\6x=30\\x=5[/tex]
Therefore, x = 5 (and ∠E = ∠F = 48)
Fencing costs $10.15/ft. A customer purchases 8 3/8 ft of fencing for his yard. How much did the customer pay for the fencing? Round to the nearest cent.
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A population of flies grows according to the function p(x) = 5(2)x, where x is measured in weeks. A local spider has set up shop and consumes flies according to the function s(x) = 3x + 2. What is the population of flies after three weeks with the introduced spider?
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x = 3 weeks
Growth: 5(2)(3) = 30 flies in 3 weeks
eaten: 3(3) +2 = 9+2 =11 flies eaten in 3 weeks
30-11 = 19 flies ( population after 3 weeks)
The rule (x,y)→(2x,2y) maps △DEF to △D′E′F′.
Which statement correctly describes the relationship between △DEF and △D′E′F′ ?
the triangles are congruent because △D′E′F′ is a rotation of △DEF , and a rotation is a rigid motion.
The triangles are congruent because △D′E′F′ is a reflection of △DEF , and a reflection is a rigid motion.
The triangles are not congruent because △D′E′F′ is a dilation of △DEF , and a dilation is not a rigid motion.
The triangles are not congruent because △D′E′F′ is a translation of △DEF , and a translation is not a rigid motion.
Answers
Two triangle are congruent when all the corresponding angles are equal and all the corresponding sides are equal.
Therefore, the triangles are not congruent because △D′E′F′ is a dilation of △DEF , and a dilation is not a rigid motion.
With calculations please
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Widgets are $3 each ; gadgets are $5 each.
The boss wants AT LEAST 10 widgets and 20 gadgets and total must reach AT MOST $300 per day.
Your inequalities would be:
x ≥ 10 (there must be greater than or equal to 10 widgets made)
y ≥ 20 (there must be greater than or equal to 20 gadgets made)
3x + 5y ≤ 300 (the cost must be less than or equal to 300)
The solution is H.
6) Solve for all possibilities.
I) f(k) + g(k)
= -4k⁴ + 14 + 3k² + (-3k⁴ - 14k² - 8)
= -4k⁴ + 14 + 3k² - 3k⁴ - 14k² - 8
Combine like terms.
= -7k⁴ - 11k² + 6
II) h(k) - r(k)
= 8k⁴ - 3 - 10k² - (-k² + 12k⁴ + 6)
= 8k⁴ - 3 - 10k² + k² - 12k⁴ - 6
= -4k⁴ - 9k² - 9
III) s(k) - t(k)
= -3k⁴ + 5k² - 1 - (4k⁴ + 16k² - 7)
= -3k⁴ + 5k² - 1 - 4k⁴ - 16k² + 7
= -7k⁴ - 11k² + 6
There are only two that result in equivalent expressions which are I and III.
Solution : I and III.
You are offered an item for $17.85. If the seller states he normally sells the same item for $19.95, what percentage discount is he offering you?
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Answer:
Find out the what percentage discount is seller offering you .
To prove
Formula
[tex]Discouunt\ percentage = \frac{Discount\times 100}{Marked\ price}[/tex]
Discount = Marked price - Selling price
As given
You are offered an item for $17.85. If the seller states he normally sells the same item for $19.95 .
Here
Marked price = $19.95
Selling price = $17.85
Discount = 19.95 - 17.85
= $2.1
Put in the formula
[tex]Discouunt\ percentage = \frac{2.1\times 100}{19.95}[/tex]
[tex]Discouunt\ percentage = \frac{210}{19.95}[/tex]
Discount percentage = 10.5% (Approx)
Therefore the discount is seller offering you is 10.5 % .
Write the equation in slope -intercept form with slope of 4 that contains (-3, -6).
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Plug in the values: [tex]y + 6 = 4(x + 3)[/tex]
And there you have your answer in point-slope form
Which expression can be used to change 75 kilometers per hours to meters per minute?
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1 km = 1000 m, so you can have the fraction (1 km)/(1000 m) or the fraction (1000 m)//(1 km). You must choose the correct one for this problem.
1 hr = 60 min, so you can have the fraction (1 hr)/(60 min) or the fraction (60 min)/(1 hr). Again, you must choose the correct one for this problem.
The important thing is to choose the correct fraction from the choices.
How do you know which conversion fractions to use?
You look at the given units and the units you want.
You must pick the conversion fraction that will cancel out the units you DON'T want, leaving the units you want.
You have a speed in km/hr.
km is in the numerator. To cancel out km, you must pick the conversion fraction that km in the denominator.
hr is in the denominator. To cancel out hr, you must pick the fraction that has hr in the numerator.
[tex]75 \frac{km}{hr} \times \frac{1000~m}{1~km} \times \frac{1~hr}{60~min} [/tex]
Notice that km and km cancel out leaving m.
Also, hr and hr cancel out leaving min.
Why do elephants have pointy tails
Answers
Find the measure of angle e.
A. 70°
B. 130°
C. 100°
D. 110°
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The sum of the measures of the angles d and g is equal to 180°. Or in other words, they are supplementary.
Knowing this, we can use algebra to build an equation and solve for g.
70° + m∠g = 180°
m∠g = 110°
And finally, using the knowledge of vertical lines, ∠g is complementary to ∠e.
So, m∠e is equal to 110°.
The scale on a map of Texas shows that 1 inch represents 20 miles. The actual distance from Austin to Dallas is 195 miles. On the map, how many inches apart are the two cities?
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so 195 miles is 195/20 = 9.75 inches <==
To calculate the map distance between Austin and Dallas with a scale of 1 inch representing 20 miles, and an actual distance of 195 miles, set up a proportion and solve to find that Austin and Dallas would be 9.75 inches apart on the map.
Explanation:To find out how many inches Austin is from Dallas on the map, we need to set up a proportion. The scale given on the map is 1 inch represents 20 miles. We know the actual distance between Austin and Dallas is 195 miles. To calculate the distance on the map, we use the proportion 1 inch / 20 miles = x inches / 195 miles.
Cross-multiply to solve for x:
(1 inch) * (195 miles) = (20 miles) * (x inches)
195 inch-miles = 20x inch-miles
Now, divide both sides by 20 miles to solve for x:
x = 195 inch-miles / 20 miles
x = 9.75 inches
So, on the map, Austin and Dallas would be 9.75 inches apart.
In triangle XYZ, m∠Z > m∠X + m∠Y. Which must be true about △XYZ?