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Alisiya [41]
2 years ago
8

In circle Y, what is m∠SZT?

Mathematics
2 answers:
const2013 [10]2 years ago
7 0

Answer: b

Step-by-step explanation:

lara31 [8.8K]2 years ago
4 0
We first solve for angle TZU which is determined by the formula:
mTZU = 0.5(arcTU + arcSR)
mTZU = 0.5(72°+100°) = 86°

By vertical angle, mTZU = mSZR = 86°

We note that the sum of all angles formed is 360°. Solving for the remaining angles:
360° - 86° - 86° = 188°

Since mSZT is equal to mRZU by vertical angle, we divide 188° by 2.
188°/2 = 94°

m∠SZT = 94°
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4 0
2 years ago
The combined average weight of an okapi and a llama is 450450450 kilograms. The average weight of 333 llamas is 190190190 kilogr
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I'm going to assume that you meant 450kg for the combined weight, 190kg more and 3 Llamas. I'm pretty sure Llamas and Okapis don't weigh 450450450kg (that's 993,073,252 pounds). :)

x= Okapi weight
y= Llama weight

EQUATIONS:
There are 2 equations to be written:

1) 450kg is equal to the weight of one Okapi and one Llama

450kg= x + y

2) The weight of 3 llamas is equal to the weight of one Okapi plus 190kg.

3y=190kg + x


STEP 1:
Solve for one variable in one equation and substitute the answer in the other equation.

450kg= x + y
Subtract y from both sides
450-y =x


STEP 2:
Substitute (450-y) in second equation in place of x to solve for y.

3y=190kg + x
3y=190 + (450-y)
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add y to both sides

4y=640
divide both sides by 4

y=160kg Llama weight


STEP 3:
Substitute 160kg in either equation to solve for x.

3y=190kg + x
3(160)=190 + x
480=190 + x
Subtract both sides by 190

290= x
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CHECK:
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Hope this helps! :)
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