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Leya [2.2K]
3 years ago
13

A. Use the Pythagorean theorem to calculate the length of segment AC. Show your work for credit.

Mathematics
1 answer:
Solnce55 [7]3 years ago
6 0

alright so first ur trying to find adjacent so use cos which is adjacent/hypotenuse you know the angle of c is 90 because it is a right angle

so it gonna be

cos(90)= AC/5

5*cos(90)= AC

5*0=AC

side AC = 0

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∠E∠E and ∠F∠F are vertical angles with m∠E=9x+12m∠E=9x+12 and m∠F=3x+24m∠F=3x+24 .
Mama L [17]

Since ∠E and ∠F are vertical angles, they are congruent, meaning that m∠E = m∠F

Plugging in the equations that were originally given, we can form the equation 9x + 12 = 3x + 24

Subtract both sides of the equation by 3x

6x + 12 = 24

Subtract 12 from both sides

6x = 12

Divide both sides by 6

x = 2

This should be your answer. Have an awesome day! :)

3 0
3 years ago
⚠️⚠️PLEASE READ⚠️⚠️
aniked [119]

yes!! glad that you support this! keep your head up and keep on smiling! <3

5 0
3 years ago
Solve the system y = -x + 7 and y = -0.5(x - 3)^2 + 8.
AlladinOne [14]

Answer:

(1,6) & (7,0)

Step-by-step explanation:

y = -x + 7

y = -0.5(x - 3)² + 8

To solve the system, solve these two equations simultaneously

-x + 7 = -0.5(x - 3)² + 8

-x + 7 = -0.5(x² - 6x + 9) + 8

-x + 7 = -0.5x² + 3x - 4.5 + 8

0.5x² - 4x + 3.5 = 0

x² - 8x + 7 = 0

x² - 7x - x + 7 = 0

x(x - 7) - (x - 7) = 0

(x - 1)(x - 7) = 0

x = 1, 7

y = -1 + 7 = 6

y = -7 + 7 = 0

(1,6) (7,0)

Since the system has two distinct solutions, the line and the curve meet at two distinct poibts9: (1,6) & (7,0)

8 0
3 years ago
You are renting a car that charges a $30 fee plus 40 cents a mile. The rate of change
Dmitry [639]

Answer:

true

is the answer

7 0
3 years ago
Read 2 more answers
Solve the equations <br> 3x + 5y = 21 <br> -20x + 5y <br> show your work
Digiron [165]

Answer:

x=21/23

Step-by-step explanation:

Solve for x:

3x+5y=21−20x+5y

Add 20x to both sides:

3x+5y+20x=−20x+5y+21+20x

23x+5y=5y+21

Subtract 5y to both sides:

23x+5y+−5y=5y+21+−5y

23x=21

Divide both sides by 23:

x=21/23

8 0
3 years ago
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