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
3241004551 [841]
3 years ago
13

Line m is parallel to line p. m ∠ HEF = 39º and m ∠ IGF = 13º. Find the m ∠ EFG. Explain in detail how you know you are correct.

Add additional lines and points as needed for your explanation.

Mathematics
1 answer:
svetlana [45]3 years ago
6 0

Answer:

The measure of ∠EFG is 52°

Step-by-step explanation:

Given line m is parallel to line p. m∠HEF = 39º and m∠IGF = 13º.we have to find m∠EFG.

In ΔJFG,

By angle sum property of triangle, which states that sum of all angles of triangle is 180°

m∠FJG+m∠JGF+m∠JFG=180°

⇒ 39°+13°+m∠JFG=180°

⇒ m∠JFG=180°-39°-13°=128°

As JFE is a straight line ∴ ∠JFG and ∠EFG forms linear pair

⇒ m∠JFG+m∠EFG=180°

⇒ 128°+m∠EFG=180°

⇒ m∠EFG=52°

The measure of ∠EFG is 52°

You might be interested in
The angles in a triangle are in the ratio 2 : 3:7.
Mademuasel [1]

Answer:

30°, 45° and 105°

Step-by-step explanation:

2 + 3 + 7 = 12 parts

180/12 = 15 degrees each part

First angle (2 parts)

2(15) = 30°

Second angle (3 parts)

3(15) = 45°

Third angle (7 parts)

7(15) = 105°

Hope this helps

3 0
1 year ago
NEED ASAP
Gala2k [10]

Answer:

(- 2, 4 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) , then the midpoint is

( \frac{x_{1}+x_{2}  }{2} , \frac{y_{1}+y_{2}  }{2} )

Here (x₁, y₁ ) = A (4, 6 ) and (x₂, y₂ ) = B (- 8, 2 )

midpoint = ( \frac{4-8}{2} , \frac{6+2}{2} ) = ( \frac{-4}{2} , \frac{8}{2} ) = (- 2, 4 )

6 0
3 years ago
Read 2 more answers
Real Answers Only!!!!
lyudmila [28]

Answer:

The correct answer is C) Reflection across the Y-axis.

Step-by-step explanation:

This is because only the x-coordinates changed. If these coordinates were reflected across both the x and y axis' the sign of both the x and y coordinates would have changed. When  you reflect a point across the x axis, the y-coordinates change their sign. When you <u><em>reflect </em></u><u>a point across the y axis</u>, the <u>x-coordinates change</u> their sign.

Hope this helps,

♥<em>A.W.E.</em><u><em>S.W.A.N.</em></u>♥

5 0
3 years ago
Find the common difference if the 8th term is 55 and the first term is 13
Vlad [161]

Answer:

Step-by-step explanation:

Equation

L = a + (n - 1)*d

Givens

L = 55

a = 13

n =8

Solution

55 = 13 + (8 - 1)*d               Combine

55 = 13 + 7d                       Subtract 13 from both sides

55 - 13 = 7d

42 = 7d                               Divide by 7

d = 6

6 0
3 years ago
Find the slope of the line below
Shkiper50 [21]

Answer:

5/3

Step-by-step explanation:

rise=5

run=3

so 5/3

8 0
3 years ago
Read 2 more answers
Other questions:
  • Solve for the area of ΔABC to the nearest tenth. A) 9.0 cm2 B) 18.1 cm2 C) 36.2 cm2 D) 72.4 cm2
    8·1 answer
  • How do you find the volume of a prism?
    10·1 answer
  • Find the GCF of -10c 2 d and 15cd 2.
    10·1 answer
  • Find the angle between the given vectors to the nearest tenth of a
    5·1 answer
  • Find two pairs of integers whose sum is -6
    11·1 answer
  • Help i just need a quick answer thanks!
    9·2 answers
  • Whats the answer for -2x+11+6x ?
    9·1 answer
  • Pete sold 320 boxes of donuts with a dozen in each box. How many donuts did he sale in all?
    12·2 answers
  • Look at the graph below. What is the slope of the line?
    15·1 answer
  • What is the effect on the graph of f(x)=|3x−4| when it is replaced by f(x)+3 ?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!