1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sweet-ann [11.9K]
3 years ago
13

In the diagram below, ST is parallel to QR. angle P is 40 degrees, and QST is 2R+8. Find the measure of STR in degrees.

Mathematics
1 answer:
lozanna [386]3 years ago
3 0

Answer:

148º

Step-by-step explanation:

Use the information given:

  • The measure of a straight line is 180º. So angle PST=180-(2R+8)
  • Since ST and QR are parallel, angle PST=angle PQR. Now, angle PQR=180-(2R+8)
  • The sum of a triangle's interior angles is 180º. So 40+180-2R-8+R=180º.
  • Combine like terms, 212-R=180
  • Subtract, -R=-32
  • Convert to positive, R=32º

With R=32º, we can find angle QST and PQR. Angle QST=2(32)+8=64+8=72º. So angle PQR=180º-72º=108º. The sum of a quadrilateral's interior angles is 360º:

  • 32º+72º+108º+STR=360º
  • Combine like terms, 212º+STR=360º
  • Subtract, STR=148º
You might be interested in
Graph the linear equation. Find three
belka [17]

Answer:

Part 1) The graph in the attached figure

Part 2) Three points that solve the equation could be (-18,0),(0,4.5) and (-2,4)

Step-by-step explanation:

we know that

To graph a line we need to plot two points

If a point solve the linear equation, then the point is a solution of the linear equation

step 1

Find the first point that solve the equation

<em>Find the x-intercept</em>

The x-intercept is the value of x when the value of y is equal to zero

For y=0

x - 4(0) =-18

x=-18

The x-intercept is the point (-18,0)

step 2

Find the second point that solve the equation

<em>Find the y-intercept</em>

The y-intercept is the value of y when the value of x is equal to zero

For x=0

0 - 4y =-18

-4y=-18

y=4.5

The y-intercept is the point (0,4.5)

step 3

With the intercepts graph the line

Plot the intercepts and join the points to graph the line

using a graphing tool

see the attached figure

step 4

Find the third point that solve the equation

Assume a value for x and then solve for y

I assume x=-2

substitute in the linear equation and solve for y

-2 - 4y =-18  

-4y=-18+2

-4y=-16

y=4

The third point is the point (-2,4)

7 0
3 years ago
Sam said the formula for the perimeter of a rectangle is two times the length plus two times the width or 2 L + 2 W . Mary said
makkiz [27]
Answer - Mary is right
6 0
2 years ago
Given f(x) = ex and g(x) = x -2, what is the range of (gºf)(x)? ​
lesya [120]

Answer:

y>-2

Step-by-step explanation:

Answer on E2020

7 0
3 years ago
Read 2 more answers
5x – 2= 8<br> Please help me
Marta_Voda [28]

Answer:

x = 2 because 5 times 2 = 10 and 10 - 2 = 8

Step-by-step explanation:

6 0
3 years ago
Find the critical value tc for the confidence level c=0.98 and sample size n=18
Mariulka [41]

Answer step-by-step explanation:

We know that the critical t value for a 98% confidence level for a sample of size n = 18:

Finding degrees of freedom (n-1) = 17

-search the information in table t for 0.98 and find that t = 2.567

6 0
3 years ago
Other questions:
  • Find the value of x
    15·1 answer
  • I have to go to sleep super tired i need a question answered my last question witch value is not a whole number -5, 0, 4, 113?
    8·2 answers
  • Centered 7 meters above the ground, a Ferris wheel of radius 6 meters is rotating with angular speed 24 degrees per second.
    6·1 answer
  • Which is the equation of a line that passes through the point (3, 2) and is parallel to the line in the graph?
    12·1 answer
  • I NEED HELP WITH (33) B,C,D
    5·1 answer
  • If the cost of 9 m cloth is rupees 378, find the cost of 4 m cloth? guys little fast and please in steps no direct answers
    7·1 answer
  • Rate the following bank accounts from most to least liquid: CD, savings account, checking account, money market account. a. CD,
    11·2 answers
  • Dana is training to run a marathon. On Monday, she ran 10.2 miles. On Tuesday, she ran 11.4 miles. On Wednesday and Thursday, sh
    8·1 answer
  • PLEASE HURRY
    15·1 answer
  • Which organisms reproduce through a...se...xu...al reproduction? (Select all that apply.)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!