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]
3 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]3 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
Help me plz with this
r-ruslan [8.4K]
5x+6y=28,3x+2y=14----------------------------------------------------------
8 0
3 years ago
What is the probability annie does not choose a girl who is a junior
ICE Princess25 [194]
A every every low chance 

8 0
3 years ago
Read 2 more answers
Mean = 5 13+14+15+19+19 ​ =
Gelneren [198K]

Answer:

14.167

Step-by-step explanation:

assuming you meant 5+13

7 0
2 years ago
Solve the simultaneous equations<br> -x + 5y = -7<br> x + y = – 5<br> x = 1<br> y= 0
vodomira [7]

y= -5-x

-x + 5(-5-x) = -7

-x -25-5x =-7

-x-5x = 25 -7

-6x= 18

x = -3

-3 +y = -5

y= -5 +3

=-2

-(-3) + 5(-2)

3 - 10 = -7

5 0
3 years ago
Read 2 more answers
The sentence "the length of a rectangle is 6 feet more than the width" can be translated as / = 6 + w.
matrenka [14]

Answer:

true

Step-by-step explanation:

if the width is w and the length is l then 6 more than the width is w+6 and that is equal to the length so l = w+6

7 0
3 years ago
Other questions:
  • A triangular space between three streets has measurements shown. how much new curbing will be needed to go around the​ space? ho
    15·1 answer
  • Kyle has 130 pins in his collection he has 76 of the pens displayed on his wall the rest are in a drawer how many of Kyle’s pins
    9·1 answer
  • What is the value of x
    13·1 answer
  • Again I need this question answered I can’t do math
    14·1 answer
  • The units digit of a perfect square is 6. What are the possible values of the tens digit?
    11·1 answer
  • Write each improper fraction as a mixed number in simplest form -72/27=
    8·1 answer
  • Need help with this ASAP. Thanks​
    11·1 answer
  • Order these numbers from least to greatest.
    5·1 answer
  • 2. Write a function of the geometric sequence with a starting term of 10 and a common ratio of 4. Find the fourth term.
    5·1 answer
  • Ms. Sanchez drove 19 1/2 miles 2/3 hour. What was her speed in miles per hour
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!