If = 27° and y = 17 cm, what is the value of z to the nearest tenth of a centimeter?

vovangra [49]

Here's my working for 1) You need to find the exterior angle, then divide by 360 to find the number of sides:

Applying these steps : 

180 (Interior Angles) - 162 = 18 (Exterior angle)

360 ÷ 18 is 20 sides 

For 2)

Its the same method, so apply the steps:

180 - 175 = 5

360 ÷ 5 = 72 sides 

Hope it helps! :) 

8 0

3 years ago

What is the slope-intercept form of the equation y - 7= -5/2(x+4)

GREYUIT [131]

The first thing I would probably do is distribute (multiply) the -5/2 into the parenthesis:

= (-5/2)x + (-20/2)

Notice how I am not putting the x into the fraction. This is to make it easier to see the slope-intercept form.

Lets simplify the (-20/2) and then add 7 to both sides:

y - 7 = (-5/2)x - 10

y = (-5/2)x - 3

Your answer would then be:

y = (-5/2)x - 3

y = mx + b

Since it is now in the requested format.

4 0

3 years ago

a car needs fixing and Abe can fix it for $70 per hour with a $60 part, but Gabe can fix it for $80 an hour with a $40 part. How

Nat2105 [25]

After 2 hours time , both Abe and Gabe to cost the same amount .

Step-by-step explanation:

Here we have , a car needs fixing and Abe can fix it for $70 per hour with a $60 part, but Gabe can fix it for $80 an hour with a $40 part. We need to find How long will it take for both Abe and Gabe to cost the same amount .Let's find out:

Let the time for which both Abe and Gabe to cost the same amount be x hours, so according to question scenario we will have equation as :

⇒ $70x+60=80x+40$

⇒ $(70x+60)-70x=(80x+40)-70x$

⇒ $60=(10x+40)$

⇒ $60-40=(10x+40)-40$

⇒ $20=10x$

⇒ $x=2$

Therefore , After 2 hours time , both Abe and Gabe to cost the same amount .

6 0

2 years ago

Which of the options is a solution for the following system of inequalities

oksian1 [2.3K]

Answer:

(5, - 2)

Step-by-step explanation:

2x+y>3

x-y>1

2x + y > 3 - - - - (1)

x - y > 1 - - - (2)

Using trial and error method :

Using :

(5,-2)

2x + y > 3

2(5) + (-2) > 3

10 - 2 > 3

8 > 3 (true)

x - y > 1

5 - (-2) >1

5 + 2 > 1

7 > 1 (True)

For 0,5

2x + y > 3

2(0) + (5) > 3

0 + 5 > 3

5 > 3 (true)

x - y > 1

0 - (5) >1

-5 > 1

--5 > 1 (false)

Also, all other options do not hold true for bitb inequality statements, hence answer is (5, - 2)

8 0

3 years ago

Sandy drove 55 miles per hour to Orlando. Write a function rule that relates the number of miles traveled to the hours driven.

zloy xaker [14]

The function rule that relates the number of miles traveled to the hours driven is d = 55t

<h3>What is speed?</h3>

Speed is the ratio of distance traveled by a body to the time taken.

The formula for calculating distance is expressed as:

distance = speed * time

Speed s = d/t

Given that the speed is 55 miles per hour

55 = d/t

Cross multiply

d = 55t

Hence the function rule that relates the number of miles traveled to the hours driven is d = 55t

Learn more on speed function here: brainly.com/question/14101278

3 0

2 years ago