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
faltersainse [42]
3 years ago
10

A transversal intersects two parallel lines. The measures of a pair of alternate interior angles are 5v and 2w. The measures of

a pair of same-side exterior angles are
10w and 5v. What are the values of wand v?
Mathematics
1 answer:
Nataly_w [17]3 years ago
3 0

Answer:

The value of v is 6° and the value of w is 15°

Step-by-step explanation:

we know that

When parallel lines are cut by a transversal line, the same-side exterior angles are supplementary and each pair of alternate interior angles is equal in measure

so

5v=2w -----> equation A

10w+5v=180 ----> equation B

substitute equation A in equation B and solve for w

10w+(2w)=180

12w=180

w=15°

Find the value of v

5v=2w -----> v=2w/5

v=2(15)/5=6°

therefore

The value of v is 6° and the value of w is 15°

You might be interested in
I’m not sure how to do this
Cerrena [4.2K]
It's b because you have to round up
5 0
3 years ago
Read 2 more answers
Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are sum
IrinaK [193]

Answer:

0.84

Step-by-step explanation:

Given that Disks of polycarbonate plastic from a supplier are analyzed for scratch and shock resistance. The results from 100 disks are summarized as follows:

P(A) = 0.86, P(B) = 0.79, P(A') = 0.14, P(AUB) = 0.95

We are to find out P(A'UB)

We have

P(AUB) =P(A)+P(B)-P(A\bigcap B)\\0.95=0.86+0.79-P(A\bigcap B)\\P(A\bigcap B)=0.70

P(A'UB) = P(A')+P(B)-P(A' \bigcap B)\\= 1-P(A) +P(B)-[P(B)-P(A \bigcap B)]\\= 1-0.86+0.79-P(B)+[tex]P(A'UB)=0.14+0.79-0.79+0.70\\=0.84P(A \bigcap B)[/tex]

7 0
3 years ago
Which graph shows the correct representation of {x | x ≤ 5}?
Andrew [12]

Answer:

third choice

Step-by-step explanation:

That would be the third one. It has to be a closed circle because it includes the sign, ≤ meaning that it also has the number 5 included. The numbers that go to the left of 5 are smaller, too.

3 0
3 years ago
The figure is made up of 2 rectangles and 2 right triangles.
Zarrin [17]

Answer:

area = 277 units²

Step-by-step explanation:

area = (25 x 5) + (8 x 13) + (8 x 6) = 277 units²

7 0
3 years ago
(Pls help) I need help finding x!
Ray Of Light [21]

Answer:

x ≈ 46°

Step-by-step explanation:

Since the triangle is right use the sine ratio to solve for x

sinx = \frac{opposite}{hypotenuse} = \frac{10}{14}, hence

x = sin^{-1} ( \frac{10}{14} ) ≈ 46°

8 0
3 years ago
Other questions:
  • a child lifts a 5.0-newton toy to a height of 0.50 meters. how much work is done on the toy? 0.0 j 2.5 j 4.5 j 10 j
    8·2 answers
  • Write in simplest form
    14·1 answer
  • You worked the following hours this week: Monday 8 AM to 5 PM, Tuesday 9 AM to 3 PM, Thursday 8:30 AM to 2:15 PM. You get a 30-m
    7·2 answers
  • Farah rolls a fair dice and flips a fair coin. What is the probability of obtaining a 5 and a head? Give your answer in its simp
    10·1 answer
  • - 3(x - 1) + 8(x - 3) = 6x + 7 - 5x short solve it plz
    6·2 answers
  • QUICKLY PLEASE<br> Find the value of x. Round your answer to the nearest tenth.
    12·1 answer
  • Solve the equation.<br><br> 2(3z-2)+8=34<br><br> A. z=3<br> B. z=-3<br> C. z=-4<br> D. z=5
    8·2 answers
  • Grace earns $12 per hour. Phillip's earnings can be represented by the equation y = 10x where x is the number of hours worked an
    7·2 answers
  • I also need help with this
    7·1 answer
  • If triangle abc = triangle XYZ which is true
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!