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3 years ago

Which is a true statement about an exterior angle of a triangle?

Mathematics

1 answer:

tekilochka [14]3 years ago

6 0

<h3>heyya</h3>

<h3>Step-by-step explanation:</h3><h3>the statement is that one of the exterior angle will be equal to the sum of 2 opposite interior angle</h3><h3>in this pic d=a+c</h3><h3>hope it helps</h3>

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If y is directly proportional to x square and y equal 1/8 when x = 1/2 what is the positive value of x when y it was 9/2?

mojhsa [17]

Answer:

Step-by-step explanation:

Given y is directly proportional to x² then the equation relating them is

y = kx² ← k is the constant of proportion

To find k use the condition y = $\frac{1}{8}$ when x = $\frac{1}{2}$ , then

$\frac{1}{8}$ = k( $\frac{1}{2}$ )² = $\frac{1}{4}$ k ( multiply both sides by 8 )

1 = 2k ( divide both sides by 2 )

k = $\frac{1}{2}$

y = $\frac{1}{2}$ x² ← equation of proportion

When y = $\frac{9}{2}$ , then

$\frac{9}{2}$ = $\frac{1}{2}$ x² ( multiply both sides by 2 )

9 = x² ( take the square root of both sides )

x = ± $\sqrt{9}$ = ± 3

with positive value x = 3 → d

8 0

3 years ago

Need help finding the parallel and perpendicular slope

Rudik [331]

Answer:

Step-by-step explanation:

(x₁, y₁) = (19 , -4) & (x₂ ,y₂) = (17, -20)

$Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$= \frac{-20-[-4]}{17-19}\\\\= \frac{-20+4}{17-19}\\\\= \frac{-16}{-2}\\\\= 8$

m = 8

Parallel lines have same slope.

Parallel slope = 8

Slope of perpendicular line = $\frac{-1}{m}$

Perpendicular slope = $\frac{-1}{8}$

8 0

2 years ago

Of the 800 participants in a marathon 220 are running to raise money for a cause. How many participants out of 100 are running f

nadezda [96]

Answer:

27.5 /100 are running for a cause

Step-by-step explanation:

We know that 220/800 are running for a cause

Divide the top and bottom by 8 to get the fraction out of 100

220 /8 =27.5

800/8 = 100

27.5 /100 are running for a cause

7 0

2 years ago

How is the graph of the parent function y=x² transformed to produce the graph of y=3(x+1)²?

Anna11 [10]

Answer:

Step-by-step explanation:

Remark

Always the easiest way to study these questions is to get a graph. The one below shows

Red: y = x^2

Blue: y= 3(x + 1)^2

You will notice that (x+1)^2 shifts the graph Left -- the opposite to what you might think.

The 3 is a little harder. It narrows the red mother graph. Which choice says that?

The choice is between b and d. Why. Because the blue graph is to the left of the red one.

You have to learn the meaning of compressed. A better word might be narrows.

Answer

7 0

1 year ago

A local high school held a two-day fundraiser selling lunches. The equations shown represent the amount of money the school coll

Over [174]

Answer:

Step-by-step explanation:

The two equations appear to be ...

12x +4y = 152
32x +12y = 420

These can be solved for y using Cramer's rule:

y = (152(32) -420(12))/(4(32) -12(12)) = -176/-16 = 11

The cost of the vegetarian lunch is 11.

_____

<em>Comment on Cramer's Rule</em>

For equations ...

ax +by =c

dx +ey = f

The solutions are ...

x = (bf -ey)/(bd -ea)

y = (cd -fa)/(bd -ea) . . . . note the denominators are the same expression

Once you memorize the pattern of products, this can be the simplest way to solve a pair of equations--especially if you only need one of the variable values.

6 0

2 years ago