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tatiyna
3 years ago
8

Nathan is jogging on a circular trail in a state park. The diameter of the trail is 650 meters. What approximate distance ( circ

umference) does Nathan cover in one lap around the park

Mathematics
1 answer:
erica [24]3 years ago
3 0
If using the radius, you would multiply the radius by 2*pi, to calculate the circumference, which should be the same as the answer i got.

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If QS bisects PQT, SQT=(8x- 25),PQT=(9x+34), and SQR=112, find each measure.
Goryan [66]

The values of the angles are; x = 12°, m∠PQS = 71°, m∠PQT = 142° and m∠TQR = 41°

<h3>What are the measure of the each angle?</h3>

The required angles; x, m∠PQS, m∠PQT, and m∠TQR

The given parameters are bisects ∠PQT

m∠SQT = (8·x - 25)°

m∠PQT = (9·x + 34)°

m∠SQR = 112°

We have;

m∠PQT = m∠SQT + m∠PQS (Angle addition postulate)

m∠SQT ≅ m∠PQS (Angles formed by angle bisector are congruent)

m∠SQT = m∠PQS  by Definition of congruency

m∠PQT = 2 × m∠SQT

Therefore;

(9·x + 34)° = 2 × (8·x - 25)° = (16·x - 50)°

Collecting like terms gives:

(34 + 50)° = 16·x - 9·x = 7·x

7·x = 84°

x = 84°/7 = 12°

x = 12°

m∠SQT = (8·x - 25)°

Therefore;

m∠SQT = (8 × 12 - 25)° = 71°

m∠SQT = 71°

m∠PQT = 2 × m∠SQT

∴ m∠PQT = 2 × 71° = 142°

m∠PQT = 142°

m∠PQS = m∠SQT (Angles formed by the same bisector )

∴ m∠PQS = m∠SQT = 71°

m∠PQS = 71°

m∠SQR = m∠SQT + m∠TQR (Angle addition postulate)

m∠SQT = 71°

∴  m∠SQR = 112° = 71° + m∠TQR

m∠TQR = 112° - 71° = 41°

m∠TQR = 41°

Learn more about angles here:

brainly.com/question/2882938

#SPJ1

4 0
1 year ago
McBurger has about 1.9 x 106 employees and each makes on average 25,000 dollars per year
svlad2 [7]

Answer:

??? No solution???

Step-by-step explanation:

1.9x106=201.4

201.4x25000=5035000

5035000=5.035x10^6

3 0
2 years ago
Read 2 more answers
Suppose you walk 2 miles in 35 minutes. 4. write a proportion to find how far you would walk in an hour if you were to continue
Mrac [35]
Distance traveled in 35 minute = 2 miles.

So distance traveled in one minute = 2/35 (miles/minute)
                                                             = 0.0572 miles / minute.

So distance traveled in one hour  , we can find by multiplying it from 60.Because in one hour there is 60 minute.

SO distance traveled in one hour = 0.0572 * 60 
                                                          = 3.432 miles / hour.
7 0
2 years ago
71 is 25% of what number?
In-s [12.5K]
71 * 4 = 284

The answer is 284
7 0
3 years ago
Read 2 more answers
Pls help will give brainliest!
arlik [135]
Answer: y=1x + 1

i used the coordinates (-1,0) and (3,4) to find the slope 4/4 or 1.
plugged in M and B using the coordinates and got
4=1•3+b
4=3+b
-3 -3
1=b
y=1x+1

hope this makes sense!!
5 0
2 years ago
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