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fiasKO [112]
3 years ago
8

Help!!!!!! Will give Brainlist answer!!!! 3 parts pls thank you so much

Mathematics
1 answer:
wariber [46]3 years ago
6 0
Part A
The small red arcs indicate that angles PQS and RQS are congruent.

13x - 1 = 2(6x + 4)

13x - 1 = 12x + 8

x = 9

m<PQR = 13x - 1 = 116

m<RQS = 6x + 4 = 6(9) + 4 = 58

m<PQS = 116 - 58 = 58

Part B

12^2 + (OH)^2 = 13^2

144 + (OH)^2 = 169

(OH)^2 = 25

OH = 5

r = OH = 5

Part C

WZ/ZY = WX/XY

24/12 = 30/XY

2 = 30/XY

2(XY) = 30

XY = 15
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A 40-foot y’all monument sits on top of a hill. Eye is standing at a point on the hill and observes the top of the monument at a
aleksley [76]

Answer:

  54.8 feet

Step-by-step explanation:

We assume that the distance of interest is the direct line distance from the observation point to the bottom of the monument, segment PH in the diagram  below.

This can be found using the Law of Sines.

∠PMH is the complement of the angle of elevation to the top of the monument, so is 40°.

∠MPH is the difference in the angles of elevation, so is 28°.

__

The Law of Sines tells us the ratio of side lengths is the same as the ratio of the sines of the opposite angles, so ...

  PH/MH = sin(∠PMH)/sin(∠MPH) = sin(40°)/sin(28°)

Multiplying by MH, we can find the length of PH:

  PH = (40 ft)(sin(40°)/sin(28°)) ≈ 54.7669 ft

  PH ≈ 54.8 ft . . . . the distance Pete must climb to reach the monument.

3 0
3 years ago
√70 is between which two numbers on the number line?
Leto [7]

Answer:

C) 8 and 9

Step-by-step explanation:

We know that 70 is between two perfect squares.

The square numbers 64 and 81 can help us solve this question.

64<70<81

We take square root to get:

\sqrt{64}  \:  <  \:  \sqrt{70}  <  \sqrt{81}

We simplify this to get:

8 \:  <  \:  \sqrt{70}  \:  <  \: 9

Therefore √70 is between 8 and 9.

The correct option is C.

6 0
3 years ago
What is the main reason Dylan uses the word uses the word “lonesome” to describe Hattie Carroll’s death?
Nana76 [90]

The answer is actually B. No one stood up for her

The main point of the song is to show how racist we were as a country. Dylan focuses on the fact the killer wasn't given a sentence at all, the night of the murder he was released from custody because he was rich, and then in trial was only given 6-months rather than an actual sentence. Hattie Carroll wasn't even considered really.

8 0
4 years ago
Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 55 miles per
SSSSS [86.1K]

Answer:

95+75=170 mph=speed at which the two trains are moving apart

travel time=distance/speed=374/170=2.2

How long will it take for the two trains to be 374 miles apart? 2.2 hrs

Step-by-step explanation:

6 0
3 years ago
Completely factor the polynomial below.
Blizzard [7]
The first step for solving this expression is to write 6q as a difference.
8q² + 10q - 4q - 5
Now factor out 2q from the first part of the expression (8q² + 10q).
2q × (4q + 5) - 4q - 5
Extract the negative sign from the second part of the expression (-4q - 5).
2q × (4q + 5) - (4q + 5)
Lastly,, factor out 4q + 5 from the expression to find your final answer.
(4q + 5) × (2q - 1) 
This means that the correct answer to your question is (4q + 5) × (2q - 1),, or option D.
Let me know if you have any further questions.
:)
7 0
3 years ago
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