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
True [87]
3 years ago
8

Find the value of x in the given statement. The diagram is not to scale.

Mathematics
1 answer:
Evgen [1.6K]3 years ago
3 0
Step One
Find RST
The two base angles are given as equal and one of the is 28. So is the other one.
SRT = 28
STR = 28
All triangles have interior angles that add up to 180 degrees.

RST + SRT + STR = 180
28 + 28 + RST = 180
56 + RST = 180 Subtract 56 from both sides.
RST = 180 - 56
RST = 124

Step two
Find the exterior angle
The exterior angle = Sum of the two remote interior angles (RST + SRT)
The exterior angle = 28 + 124
The exterior angle = 152

Step Three
Find the value of x
2*x = 152 Divide by 2
x = 152 / 2
x = 76

There is a quicker way of finding the exterior angle. I didn't see it until I had written step two.
The exterior angle + STR = 180 degrees. They are supplementary.
The exterior angle + 28 = 180
The exterior angle = 180 - 28
The exterior angle = 152


You might be interested in
Solve 80/100 = 68/n using cross multiplication.
Karo-lina-s [1.5K]

80n = 68*100

80n = 6800

n = 6800/80

n = 85

6 0
3 years ago
Read 2 more answers
Qhat is 3 groupps of 1/8
iragen [17]

Answer: 3/8ths

Step-by-step explanation: 1/8+1/8+1/8=3/8

4 0
2 years ago
Trying to figure out 2 different equivalent fractions for the following fractions if something is divided into 8 sections
irina [24]
2/4 is equivalent to 1/16 and 1/128 if dived by 8 sections
8/8 is equivalent to 1/8 and 1/64 if dived by 8 sections
1/2 is equivalent to 1/16 and 1/128 if dived by 8 sections
3/4 is equivalent to 3/32 and 3/256 if dived by 8 sections
2/3 is equivalent to 1/12 and 1/98 if dived by 8 sections
3 0
3 years ago
Read 2 more answers
Which expression is equivalent to LaTeX: \frac{3}{4}x+5-7+\frac{1}{2}x3 4 x + 5 − 7 + 1 2 x?
poizon [28]

Answer:

25

Step-by-step explanation:

ad(wsaa)sf12345

3 0
2 years ago
Write 2,000,947 in word form and expanded form
pogonyaev
Word: Two Million Nine Hundred and Fourty Seven

5 0
3 years ago
Read 2 more answers
Other questions:
  • The vectors <4,2> and <-4,-2> are opposite directions and are orthogonal to the vector u = <2,- 4>. That’s bec
    11·1 answer
  • a rectangle has a perimeter of 250 cm and a side length of L.write an equation for the area of the rectangle in terms of L. what
    15·1 answer
  • Which Greek geometer founded a philosophical society that developed its self to the study of mathematics
    9·1 answer
  • Is 40,10,5/2,5/8 geometric or arithmetic
    6·2 answers
  • How does statement reason work? Follow up question, how do I know which reason fits which statement? Another question, how do I
    14·1 answer
  • In triangle abc, the length of side and is 10 inches and the length of side be is 17 inches . Which of the following could be th
    11·1 answer
  • Round 6.85565 to the nearest tenth !
    12·1 answer
  • Which point on the coordinate grid best represents the ordered pair (-5/2, -6/3)?
    6·1 answer
  • A newly opened juice shop earned a profit of $2,400 in the first month. For the remaining months of the year, the expected profi
    13·1 answer
  • When calculating correlation and regression both sets of data must be __________
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!