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Scilla [17]
2 years ago
11

Given that the two parallel lines are cut by a transversal, and the measure of angle 2 is 50 degrees. Find each of the missing a

ngles.

Mathematics
1 answer:
Mandarinka [93]2 years ago
7 0

Answer:

Step-by-step explanation:

Lines m and l are the parallel lines and a line 'n' is a transverse intersecting these lines.

m∠2 = 50°

m∠1 + m∠2 = 180° [Linear pair of angles]

m∠1 = 180° - 50°

m∠1 = 130°

m∠3 = m∠1 = 130° [Vertically opposite angles]

m∠3 + m∠5 = 180° [Consecutive interior angles]

m∠5 = 180° - m∠3

        = 180° - 130°

        = 50°

m∠6 + m∠5 = 180° [Linear pair of angles]

m∠6 = 180° - 50° = 130°

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Emiyo has used 2 1/4 gallons of paint.This is 2/3 of the total amount of paint.How much ,p, did Emiyo have to start?
Leni [432]

Answer:

3 3/8

Step-by-step explanation:

y×(2/3)=2.25 (the same as 2 1/4)

÷2/3. ÷2/3

y=3.375

3 3=8 gallons

more of break down:

y×2/3=9/4

÷2/3 or ×3/2

y= 9. 3. 27

--- × ---- = ----- = 3 3/8

4. 2. 8

6 0
1 year ago
Consumer Reports scored cars on quality and cost. Spearman's rank correlation coefficient was calculated using Statdisk and the
melomori [17]

Answer:

d.There is insufficient evidence to conclude that the quality and price of a car are associated. There were ten cars used in the sample.

Step-by-step explanation:

Hello!

You have two variables X₁: quality score of a car and X₂: the price of a car.

It was analyzed id there is an association between the quality and the price.

The null hypothesis of a Spearman's rank correlation test is:

H₀: There is no association between the quality and the price of cars.

The researcher failed to reject the null hypothesis which means that there is no association between the variables of interest.

The sample size is listed in the output n= 10 consumer reports.

I hope you have a SUPER day!

8 0
1 year ago
Triangles ABC, EDC, and EFG are similar triangles. The measures of the three interior angles of triangle EFG are °, °, and °.
Misha Larkins [42]
Because of the vertical angles theorem, BAC becomes 50°. And angle B is 180-(50+30)=100.

If all 3 triangles are similar, the angles of triangle EFG are 30°, 50°, 100°
4 0
2 years ago
Read 2 more answers
Wilson has a balance of $890 on a credit card with an APR of 18.7%, compounded monthly. About how much will he save in interest
Leona [35]
890×(1+0.187÷12)^(12)−890×(1+0.125÷12)^(12)
=63.61 saved
8 0
1 year ago
Read 2 more answers
On a coordinate plane, square P Q R S is shown. Point P is at (4, 2), point Q is at (8, 5), point R is at (5, 9), and point S is
sergey [27]

Answer:

(D)The midpoint of both diagonals is (4 and one-half, 5 and one-half), the slope of RP is 7, and the slope of SQ is Negative one-sevenths.

Step-by-step explanation:

  • Point P is at (4, 2),
  • Point Q is at (8, 5),
  • Point R is at (5, 9), and
  • Point S is at (1, 6)

Midpoint of SQ =\frac{1}{2}(1+8,5+6)=(4.5,5.5)

Midpoint of PR =\frac{1}{2}(4+5,2+9)=(4.5,5.5)

Now, we have established that the midpoints (point of bisection) are at the same point.

Two lines are perpendicular if the slope of one is the negative reciprocal of the other.

In option D

  • Slope of RP =7
  • Slope of SQ  =-\dfrac17

Therefore, lines RP and SQ are perpendicular.

Option D is the correct option.

6 0
2 years ago
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