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
kompoz [17]
3 years ago
11

Can someone please help me and explain if you can

Mathematics
1 answer:
nadezda [96]3 years ago
4 0

Answer:

∠6=116°

Step-by-step explanation:

Buckle up :)

  • We are given the values of ∠4 (-2x+94) and ∠8 (-5x+139).
  • Vertical angles are congruent. Angle 4 and angle 1 are vertical angles, so angle 1 is also -2x+94.
  • ∠1 and ∠8 are alternate exterior angles. The transversal is the line that crosses over the parallel lines. When two angles are on opposite sides of the transversal, they are alternate angles. When the two angles are on the outside of the parallel lines, they are exterior angles. This makes them alternate-exterior angles.
  • Alternate exterior angles are congruent. This means that ∠1≅∠8. Write an equation in order to solve for x:

-2x+94=-5x+139

Solve for x. Subtract 94 from both sides:

-2x+94-94=-5x+139-94\\\\-2x=-5x+45

Add 5x to both sides:

-2x+5x=-5x+5x+45\\\\3x=45

Divide both sides by 3:

\frac{3x}{3} =\frac{45}{3} \\\\x=15

Insert the value of x into angle 4 because they are same-side interior angles. This is because they are on the same side of the transversal and within the parallel lines. Same-side interior angles are supplementary, so their value will add up to 180°. Therefore, in order to find angle 6, we need to first find the true value of angle 4:

x=15\\\\-2(15)+94\\\\-30+94\\\\64

∠4 is 64°. Use ∠a+∠b=180 to find angle 6:

a+64=180

a represents angle 6. Subtract 64 from both sides:

a+64-64=180-64\\\\a=116

Angle 6 has a measure of 116°.

:Done

You might be interested in
Given: m arc AB = 4x, m arc BC = 3x<br> m arc CD = 2x, m arc DA = 3x<br> Find: m∠APB
Vitek1552 [10]

Answer:

a > m/bp

Step-by-step explanation:

flip the equation

abp > m

divide both sides with bp

abp/bp > m/bp

a > m/bp

3 0
3 years ago
Read 2 more answers
if a number is a natural number, then it is also a whole number? what is the Inverse, the Converse, the Contrapositive, and the
aev [14]
     I believe you're learning geometry. Anyways, here are examples of natural numbers: 1, 2, 3... Meanwhile, here are examples of whole numbers: 0, 1, 2, 3... Natural numbers are all the positive whole numbers. Whole numbers are quantities that are both positive and neutral, and don't include any fractions or decimals. 
6 0
3 years ago
25% of 60 75% of 30 50% of 45.7<br> 50% of 60 100% of 22.5<br> 75% of 60 10% of 22.5
alexdok [17]

Answer:

25% of 60 is 15

75% of 30 is 22.5

50% of 45.7 22.85

50% of 60 30

100% of 22.5 is 22.5

75% of 60 is 45

10% of 22.5 2.25

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Solve for x in the diagram below.
xz_007 [3.2K]

Answer: 5x + (x + 54) = 6x + 54

So now 6x + 54 = 90 because u are solving a right angle.

90 - 54 is 36. So 6x = 36 and 36 divided by 6 is 6. Your answer for X = 6 Hope this helps you please mark brainliest

Step-by-step explanation:

8 0
3 years ago
George scored 70, 92, 70, 90, and 95 on five physics tests. The mean, median, and mode of his scores are given below. Mean = 83.
oksano4ka [1.4K]

Answer:

mean; the average of George's scores is the mean = 83.4

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Using the multiplication principle solve 2/17x=12
    14·1 answer
  • if 620 more plants are brought to the nursery and are arranged with the original 1,207 plants in the 7 rows, how many plants wil
    11·2 answers
  • Graph the linear function in questions 5 and 6. y=1/3x-4
    7·1 answer
  • Pls help me solve this question
    8·1 answer
  • Part B
    7·1 answer
  • They are asking me what is 3 converted into a fraction
    5·2 answers
  • What is the equation of the graph below?
    14·1 answer
  • Which of the following functions is graphed below?
    5·1 answer
  • The vertex of a parabola is (-1, -8) and the zeros are (-5, 3) Determine the equation of the parabola in standard and factored f
    15·1 answer
  • -3(6 - 3k)<br>I need to Simplify the expression​
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!