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3 years ago

Angles R and S are vertical angles. Angle R has a measure of (4x+20). Angle S had a measure of 84. What is the value of x?

Mathematics

2 answers:

Salsk061 [2.6K]3 years ago

8 0

Answer:

Step-by-step explanation:

You set both sides equal to 180

4x + 20 + 84 = 180

4x = 76

x= 19

Virty [35]3 years ago

5 0

X=19 if this helps your welcome

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Triangle ABC is shown below.

Andrew [12]

Answer:

C.) 14

Step-by-step explanation:

Look at the triangle: angles b and c have the same arch, so they are congruent.

In a triangle, if two angles are congruent, then the triangle is isosceles, having two equal sides.

The sides opposite the congruent angles are congruent:

∠B → opposite side → AC

∠C → opposite side → AB

The sides AB and AC are equal. Make an equation:

$AB=AC\\\\2x=3x-7$

Simplify the equation, solving for x. Add 7 to both sides:

$2x+7=3x-7+7\\\\2x+7=3x$

Subtract 2x from both sides:

$2x-2x+7=3x-2x\\\\7=x$

The value of x is 7. Insert the value of x into the given length of AC:

$AC=3(7)-7$

Simplify multiplication:

$AC=21-7$

Subtract:

$AC=14$

Therefore, the length of the line segment AC is 14.

:Done

8 0

3 years ago

What is the slope of a line that contains the points (2,-7) and (-1, -6)

Bogdan [553]

Answer:

Slope = - 1/3

Step-by-step explanation:

Y2-Y1 / X2 - X1

8 0

2 years ago

You plan to go skiing this weekend in Tennessee. The ski resort charges $18.50 per hour in addition to a $100 deposit to rent sk

Rina8888 [55]

Answer:

Part a) $y=18.50x+100$

Part b) The total cost is $\$220.25$

Part c) see the explanation

Step-by-step explanation:

Part a) Write a linear equation to represent this situation

Define the variables

Let

x ----> the number of hours

y ----> the total cost in dollars

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or the unit rate

b is the y-intercept or initial value (value of y when the value of x is equal to zero)

In this problem we have that

The unit rate or slope is equal to

$m=\$18.50\ per\ hour$

The y-intercept or initial value is equal to

$b=\$100$

substitute

$y=18.50x+100$

Part b) Use the equation to find the total cost to rent skis from 8:30 am to 3:00 pm

Remember that

3:00 pm=15:00

from 8:30 am to 3:00 pm, the total hours is equal to

15:00 -8:30=6:30=6.5 h

For x=6.5 h

substitute in the linear equation and solve for y

$y=18.50(6.5)+100\\y=\$220.25$

Part c) What does your answer mean in context of the problem?

we have that

y=220.25

That means -----> The total cost to rent skis for 6.5 hours is equal to $220.25

8 0

3 years ago

Standard form of 5y=35+10x what is the answer

ss7ja [257]

Answer: y=7+2x

Step-by-step explanation: Divide 5 by all. 5y/5=35/5 +10x/5.

4 0

3 years ago

Help please!!!!!:( Solve the equation for x. Round your answer to two decimal places. Do not include "x =" in your answer.

svet-max [94.6K]

The solution to the problem is as follows:

If you use Ln you can get rid of e.

ln(e^0.4x) = ln(0.4)

0.4x = ln(0.4)

x = (ln(0.4))/0.4

<span>x = -2.29
</span>
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

4 0

3 years ago

Read 2 more answers