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podryga [215]
2 years ago
8

Consider the diagram. Parallel lines r and s are cut by transversal q. On line r where it intersects line q, 4 angles are create

d. Labeled clockwise, from uppercase left, the angles are: 2, 4, 3, 1. On line s where it intersects line q, 4 angles are created. Labeled clockwise, from uppercase left, the angles are: 6, 8, 7, 5. Given that r||s and q is a transversal, we know that by the [________]. corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem
Mathematics
2 answers:
antiseptic1488 [7]2 years ago
9 0

Answer:

alternate interior angles

Step-by-step explanation:

Sveta_85 [38]2 years ago
4 0

Answer:

alternet interior angles i think?

Step-by-step explanation:

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4. Priya is teaching her younger cousin to ride a bike. She wants to stay on roads that are not too steep and easy enough for a
taurus [48]

Answer:

Having 2 meters and 25 meters legs and 3 meters and 30 meters legs.

Step-by-step explanation:

Priya thinks that an angle of elevation of 7 Degrees or less will be safe for a learner of bike riding.

Now, a 7-degree elevation angle in a right triangle will have a 3 : 25 ratio of its legs.

Therefore, the list of 2 right triangles that would be safe for a new rider will be having 2 meters and 25 meters legs and 3 meters and 30 meters legs.  

I both cases the angle of elevation will be less than 7 degrees. (Answer)

4 0
2 years ago
Arthur took out a 20 year loan for $60,000 at an APR of 4.4% compounded monthly. Approximately how munch would save if he paid i
Eduardwww [97]
Monthly payments, P = {R/12*A}/{1- (1+R/12)^-12n}

Where R = APR = 4.4% = 0.044, A = Amount borrowed = $60,000, n = Time the loan will be repaid

For 20 years, n = 20 years
P1 = {0.044/12*60000}/{1- (1+0.044/12)^-12*20} = $376.36

Total amount to be paid in 20 years, A1 = 376.36*20*12 = $90,326.30

For 3 years early, n = 17 year
P2 = {0.044/12*60,000}/{1-(1+0.044/12)^-12*17} = $418.22

Total amount to be paid in 17 years, A2 = 418.22*17*12 = $85,316.98

The saving when the loan is paid off 3 year early = A1-A2 = 90,326.30 - 85,316.98 = $5,009.32

Therefore, the approximate amount of savings is A. $4,516.32. This value is lower than the one calculated since the time of repaying the loan does not change. After 17 years, the borrower only clears the remaining amount of the principle amount.
8 0
2 years ago
Read 2 more answers
Two students compared the scores on their math tests. Their results on 9 tests are shown in the box plots below. Compare the box
Karolina [17]
C..The median of Nadia’s data is equal to the median of Ben’s data. D. Nadia had the highest score on a test......?.......?
4 0
2 years ago
Read 2 more answers
Gordon​ Miller's job shop has four work​ areas, A,​ B, C, and D. Distances in feet between centers of the work areas​ are: A B C
andreev551 [17]

Answer: $600,600

Step-by-step explanation:

Total handling cost :

Workpiece moved * cost * distance

Work area A :

-, (5 × 22 × 900), (9 × 22 × 900), (7 × 22 × 500)

-, 99000, 178200, 77000

Work area B:

-, -, (6 × 22 × 500), (8 × 22 × 200)

-, -, 66000, 35200

Work area C:

-, -, -, (11 × 22 × 600)

-,-,-, 145200

Work area D:

-, -, -, -

Total weekly handling cost :

(99000 + 178200 + 77000 + 66000 + 35200 + 145200)

= $600,600

Kindly check attached picture for more explanation

4 0
2 years ago
A surveyor leaves her base camp and drives 42km on a bearing of 32 degrees. She then drives 25km on a bearing of 154 degrees. Ho
Eva8 [605]

Answer:

35.7 km and 248.3 °

Step-by-step explanation:

I will attach the diagram to an image to make it easier to understand.

We will use the formula corresponding to the law of cosine

y² = 42² + 28² - (2 * 42 * 25 * cos 58 °)

y² = 2389 - 1112.83 = 1276.17

y = √1276.17

y = 35.72 km

Now, to calculate the surveyor's bearing from her base camp we must use the sine law:

[(Sin 58 °) / y] = [(Sin A) / 42]

Without A = (42 * without 58 °) /35.72

A = sin⁻¹ (0.9971)

A = 85.7 °

Bearing of the surveyor from the base camp = 270 ° - (85.7 ° - 64 °) = 248.3 °

4 0
2 years ago
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