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
NNADVOKAT [17]
2 years ago
10

Given triangle DEF where ∠D = (7b +1)∘, ∠E = (2b + 1)∘, and ∠F = ( b + 8)∘. What is the measure of ∠E?

Mathematics
1 answer:
____ [38]2 years ago
3 0
<h3>Answer:  35 (choice C)</h3>

=============================================

Explanation:

For any triangle, the three interior angles always add to 180.

D+E+F = 180

(7b+1) + (2b+1) + (b+8) = 180

(7b+2b+b) + (1+1+8) = 180

10b+10 = 180

10b = 180-10

10b = 170

b = 170/10

b = 17

Use this value of b to find the three angle measures

  • D = 7b+1 = 7*17+1 = 119+1 = 120
  • E = 2b+1 = 2*17+1 = 34+1 = 35 degrees
  • F = b+8 = 17+8 = 25

As a check,

D+E+F = 120+35+25 = 120+60 = 180

which helps confirm the correct answers.

You might be interested in
What is the tenth term of the sequence 1/2, 3/4, 5/6, 7/8, 9/10,?
Verdich [7]
11/12 i believe that is the answer

3 0
3 years ago
What is the distance between the point (−10, −2)(−10, −2) and the point (−4, −2)(−4, −2) ?
Gnoma [55]
In this case:  x 1 = - 10,  y 1 = - 2;
x 2 = - 4 ,  y 2 = - 2
The distance between the points :
d =  \sqrt{(x 2 - x 1 ) ^{2} + ( y 2 - y 1 ) ^{2} } = \\  =\sqrt{(-4+10) ^{2} +(-2+2) ^{2} } = \\ = \sqrt{6 ^{2}+0 ^{2}  } = \sqrt{36}= 6
Answer: d = 6
4 0
3 years ago
Read 2 more answers
Trigonometry... hellpp plzzz​
rjkz [21]

Answer:

17.1 degrees

Step-by-step explanation:

This is a tangent question because angle XYZ is adjacent to 13 and opposite of 4. This means that we will have to use opposite/adjacent. This is very simple if you know the formula. Just plug those numbers in to get 4/13 = 0.3076923076923077. However, now we need to find it in degrees. If you have an inverse calculator near you, you would plug it in to get about 17.10, which rounds to 17.1.

8 0
3 years ago
Read 2 more answers
Is -30 - (-52) positive or negative?
Luba_88 [7]

Answer:

positive

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Why is 560-500 over 500 multiplied by 100?
Lady_Fox [76]

Answer:

12

Step-by-step explanation:

560-500=60

60/500*100=12

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is: x(x+3)(x+3)=0 Please help!! I will give 10 points!
    10·1 answer
  • Find the distance between the two points in simplest radical form.<br> (-5,8) and (-3,1)
    15·1 answer
  • Which expression is equivalent to sin^2(pi/2 - x)/ sin x?
    12·1 answer
  • Cam someone help with these 2 plsssss
    5·1 answer
  • Whats 23x67 plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
    5·2 answers
  • There are 24 children at the skate park. Seven of them are on bikes, nine of
    11·2 answers
  • A mad scientist is trying to turn herself into a superhero in her lab at point B. There is an explosion and
    5·1 answer
  • The sum of three numbers is 105. The third number is 2 times the first. The first number is 5 less than the second. What are the
    9·1 answer
  • I need the help on this
    5·1 answer
  • Find the sum of all the integers from 1 to 1000
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!