MATHEMATICS HIGH SCHOOL

Which statement about the angles in the diagram must be true? A. ∠5 and ∠8 are congruent.
B.∠2 and ∠8 are alternate interior angles. C. ∠4 and ∠7 are corresponding angles.
D. ∠1 and ∠5 are alternate exterior angles.

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

they r located at the same spot & side of the intersecting line on both parallel lines

Answer 2

Answer: C

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3. Factor.

9x2 + 15x

(Points : 1)       x(3x + 5)
      3x(3x + 5)
      9x(x + 5)
      3x2(3x + 5)

Question 4.4. Factor.

20mn − 30m

(Points : 1)       2m − 3
      10m(2n − 3)
      10mn(2m + 3n)
      10n(2m − 3)

Question 5.5. Factor.

8x2y2 − 4x2y − 12xy

(Points : 1)       4(2xy − 4x2y − 12xy)
      4(8x2y2 − x − 12xy)
      4x2y2(2xy − xy −3)
      4xy(2xy − x − 3)

Answers

It seems that some the work is already here, but I'd be glad to!! So for #3 which is 9x^2+15x, we can factor out both a 3 and an x (3x) so we know that 3x * 3x =9x^2 and 3x * 5 = 15x so once we take the 3x out of the equation, we are left with 3x(3x+5) and that's as far as you can factor.
For #4, we see that the common factor is 10m because 10m * 2n = 20mn and 10m * 3 = 30m so once we take 10m out of the original, it becomes 10m(2n-3)
For #5, this one the common factor is 4xy because 4xy * 2xy=8x^2y^2 and 4xy*x= 4x^2y and 4xy*3=12xy so once we take the 4xy out of the equation, it becomes 4xy(2xy-x-3)
Hope this helps!

Solve each quadratic equation. (2x-1)(x+7)=1

Answers

So you foil out the problem and get

Order from least to greatest 1/8, 7/8, 4/8

Answers

first 1/8 then 4/8 and lastly 7/8

Answer:

1/8 = 0.125

7/8 = 0.875

4/8 = 0.5

The order from least to greatest is :

1/8, 4/8, 7/8

Step-by-step explanation:

Two angles are supplementary. The measure of the larger angle is 18 less than twice the measure of the smaller angle. Find the measure of the angles. Show your work.

Answers

Answer:

Smaller angle = 66 degrees

Larger angle = 114 degrees

Step-by-step explanation:

Smaller angle: x

Larger angle: 2x - 18

x + 2x - 18 = 180 degrees

3x = 180 + 18

x = 198/3

x = 66

180 - 66 = 114

Final answer:

The measure of the smaller angle is 66 degrees and the measure of the larger angle is 114 degrees.

Explanation:

Let's represent the measure of the smaller angle as x. According to the problem, the larger angle is 18 less than twice the measure of the smaller angle, so we can represent the larger angle as 2x - 18.

Since the two angles are supplementary, their sum is 180 degrees:

x + (2x - 18) = 180

Solving this equation, we get:

3x - 18 = 180

3x = 198

x = 66

Therefore, the measure of the smaller angle is 66 degrees and the measure of the larger angle is 2(66) - 18 = 114 degrees.

Learn more about Angles here:

brainly.com/question/33354646

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Please help me I am having a difficult time

Answers

Add all of the numbers together (a), and then add the two numbers for large (b). divide b by a, and round the first 3 numbers of the decimal to the nearest hundredth.

Lauren is building a tree house with her dad. The dimensions of the floor are 9 feet by 6 feet. What is the area of the floor,measured in square yards?

Answers

6 square yards. L x W, gives you 54 but that's in feet. you have to convert it into square yards giving you 6 square yards

There are 3 feet in one yard, which means that the dimensions of the floor is 3 yards x 2 yards. In order to find the area, we must multiply the length by the width. Therefore the area of the floor is 6 square yards.

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