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stich3 [128]
3 years ago
15

The measures of the angles of a triangle are shown in the figure below. solve for x ​

Mathematics
1 answer:
lions [1.4K]3 years ago
6 0

Answer:

Brainliest????

Step-by-step explanation:

X=23°

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Towns P,Q,R and S are shown. Q is 35 km due East of P S is 15km due West of P R is 15km due South of P Work out the bearing of R
Anni [7]

Answer:

Part A

The bearing of the point 'R' from 'S' is 225°

Part B

The bearing from R to Q is approximately 293.2°

Step-by-step explanation:

The location of the point 'Q' = 35 km due East of P

The location of the point 'S' = 15 km due West of P

The location of the 'R' = 15 km due south of 'P'

Part A

To work out the distance from 'R' to 'S', we note that the points 'R', 'S', and 'P' form a right triangle, therefore, given that the legs RP and SP are at right angles (point 'S' is due west and point 'R' is due south), we have that the side RS is the hypotenuse side and ∠RPS = 90° and given that \overline{RP} = \overline{SP}, the right triangle ΔRPS is an isosceles right triangle

∴ ∠PRS = ∠PSR = 45°

The bearing of the point 'R' from 'S' measured from the north of 'R' = 180° + 45° = 225°

Part B

∠PRQ = arctan(35/15) ≈ 66.8°

Therefore the bearing  from R to Q = 270 + 90 - 66.8 ≈ 293.2°

6 0
3 years ago
One inlet pipe can fill an empty pool in 6 hours, and a drain can empty the pool in 12 hours. How long will it take the pipe to
Ainat [17]

Answer: 12 hours

Step-by-step explanation:

Let x = time it takes to fill the pool if the inlet pipe and drain pipe are both open

1/6 = portion of pool filled per hour by the inlet pipe

1/12 = portion of pool emptied per hour by the drain

1/x = portion of pool filled per hour if the inlet pipe and drain are both open

Then, 1/6 - 1/12 = 1/x

Multiply by the LCD, 12x, to obtain

2x - x = 12

x = 12 hours

5 0
3 years ago
18+6/-4-16 HELP only d part​
Ivahew [28]

Answer:

\frac{1}{2} is the answer

Step-by-step explanation:

First we need to substitute X and Y with their respective numbers

3\cdot \:6+\frac{6}{-4}-\left(-4\right)^2

Then, following PEMDAS, We just need to simplify

18+\frac{6}{-4} -16

16.5-16=0.5=\frac{1}{2}

3 0
2 years ago
Read 2 more answers
What is the following product? StartRoot 10 EndRoot times StartRoot 10 EndRoot
pentagon [3]

Answer:

it's 10

Step-by-step explanation:

i searched it up.

5 0
3 years ago
Is this right? I chose 15.
daser333 [38]

Answer:

Correct, it is 15

Step-by-step explanation:

Because 3 turns into 9, you also want to multiply the other by 3, so you’d do 5x3 to get 15

7 0
3 years ago
Read 2 more answers
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