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3 years ago

Which set of three angles could represent the interior angles of a triangle? *

1 answer:

6 0

Use the triangle angle theorem:
All interior angles of a triangle equal 180 degrees.

If you use the theorem you should get the first one 19,70,91

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the slope of a line passing through h (-2, 5) is -3/4. Which ordered pair represents a point on this line?

rosijanka [135]

Answer:

Step-by-step explanation:

Calculate the slope of the given points with the point (- 2, 5 )

If the slope is - $\frac{3}{4}$ then the point is on the line

Calculate slope m using the slope formula

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

with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (6, - 1)

m = $\frac{-1-5}{6+2}$ = $\frac{-6}{8}$ = - $\frac{3}{4}$ ← point (6, - 1) is on the line

Repeat with (x₁, y₁ ) = (- 2, 5 ) and (x₂, y₂ ) = (2, 8)

m = $\frac{8-5}{2+2}$ = $\frac{3}{4}$ ← point (2, 8) is not on the line

Repeat with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (- 5, 1)

m = $\frac{1-5}{-5+2}$ = $\frac{-4}{-3}$ = $\frac{4}{3}$ ← point (- 5, 1) is not on the line

Repeat with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (1, 1)

m = $\frac{1-5}{1+2}$ = - $\frac{4}{3}$ ← point (1, 1) is not on the line

Thus the point on the line is (6, - 1 ) → A

4 0

3 years ago

Tannin and Dax bought a new video game for $48 to use the coupon for 25% off how much would the game cost if they paid full pric

olchik [2.2K]

Answer:

$64

Step-by-step explanation:

After using a 25% discount coupon, they paid 48 for the video game.

It means, which number, decreased by 25%, would give us 48?

First, 25% to decimal is:

25/100 = 0.25

Now, if we let the original price be "x", we can say:

x decreased by 0.25 of x would give us 48

Translating this to algebraic equation gives us:

x - 0.25x = 48

Now, we solve this:

$x - 0.25x = 48\\0.75x=48\\x=\frac{48}{0.75}\\x=64$

If they paid full price, the video game would cost $64

3 0

3 years ago

What is the volume of the composite figure below? (formula for volume of a prism is 1/3 Bh where B is the area of the base.)

arsen [322]

Answer:

Last Option; 84 cu. mm

Step-by-step explanation:

We know that;

Volume = 1/3(Bh)

And that this is figure has a square base, therefore B that represents the area of the base will be: 6 * 6 = 36

And height = 7mm

Therefore we can say;

Volume = (1/3)*(6 x 6)*(7)

Volume = (1/3)*(36)*(7)

Volume = (12)*(7)

Volume = 84

Hope this helps!

6 0

3 years ago

Find the product of the following 2 x (3 x + Y^2 )

Komok [63]

The answer is 6x^2+2xy^2

6 0

3 years ago

Read 2 more answers

How do you divide fractions

lesantik [10]

To divide any fraction:1. Multiply the number by the reciprocal of the fraction.2. Simplify the resulting fraction if possible.3. Check your answer: Multiply the result you got by the divisor and be sure it equals the original dividend.

5 0

3 years ago