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2 years ago

Select the correct answer.

Mathematics

1 answer:

makvit [3.9K]2 years ago

3 0

Answer:

Step-by-step explanation:

y = 52° ( Opposite Angles )

y + 2x = 180° ( Interior Angles )

$y + 2x = {180}^{o} \\ {52}^{o} + 2x = {180}^{o} \\ 2x = {180}^{o} - {52}^{o} \\ 2x = {128}^{o} \\ x = \frac{ {128}^{o} }{2} \\ x = {64}^{o} \\$

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Which equation represents a line that passes through (-2, 4) and has a slope of 1/2?

jok3333 [9.3K]

Answer:

$\large\boxed{y-4=\dfrac{1}{2}(x+2)\text{- point-slope form}}\\\boxed{y=\dfrac{1}{2}x+5\text{- slope-intercept form}}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

We have the slope $m=\dfrac{1}{2}$ and the point $(-2, 4)$ .

Substitute:

$y-4=\dfrac{1}{2}(x-(-2))$

$y-4=\dfrac{1}{2}(x+2)$ - point-slope form

Convert to the slope-intercept form (y = mx + b):

$y-4=\dfrac{1}{2}(x+2)$ <em> use the distributive property</em>

$y-4=\dfrac{1}{2}x+1$ <em>add 4 to both sides</em>

$y=\dfrac{1}{2}x+5$ - slope-intercept form

3 0

2 years ago

WILL GIVE BRAINLIEST!

lesya [120]

Answer:

425

Step-by-step explanation:

225/24 then multiply the answer by 40

6 0

2 years ago

The ratio of boys to girls in a class is 2:3. Ben says there are 28 students inthe class. Explain why Ben must be wrong.

sdas [7]

A: adding together 2 and 3 a bunch of times
2+3+2+3+2+3 etc does not equal 28. a possible answer can be 27 students.

8 0

2 years ago

Can someone help me with this?

forsale [732]

Answer:

36 ft.

Step-by-step explanation:

The given perimeter of triangle EDF is 12, in which the hypotenuse is 5. This means that it is a 3-4-5 triangle, meaning that ED = 3, DF = 4, EF = 5.

It is given that BC (the other triangle's hypotenuse) is 15. This means that the left triangle is to the scale factor of 3 of triangle EDF. Therefore, multiply 3 to all sides measurements, and then add all the sides to get the perimeter.

Hypotenuse: 5 x 3 = 15

Leg 1: 4 x 3 = 12

Leg 2: 3 x 3 = 9

Perimeter: 15 + 12 + 9 = 36

36 ft. is your answer.

8 0

1 year ago

Your corner store is having a sale on chips . A 40 -pack of Doritos cool ranch chips cost $25.75 but it's on sale at 35% off. Ho

Lorico [155]

Answer:

$16.74

Step-by-step explanation:

If the price has been reduced by 35%, it is 100% -35% = 65% of what it was.

0.65 × $25.75 = $16.7375 ≈ $16.74

You will pay $16.74 for the chips.

6 0

3 years ago