102/87 = 3*34/(3*29) = 34/29
<u>Given</u>:
Given that the measure of arc DF is 162°
We need to determine the measure of ∠E
<u>Measure of ∠E:</u>
The measure of ∠E can be determined using the inscribed angle theorem.
Thus, by inscribed angle theorem, we have;

Substituting
, we get;

Dividing, we get;

Thus, the measure of ∠E is 81°
Answer:
x = -12
Step-by-step explanation:
Let x be the number.
The product of 5 and x increased by 9 is equal to 15 less than 3 times x.
5x + 9 = 3x - 15.
We can isolate x, getting (5-3)x = -15-9
Then we can solve:
2x = -24
x = -12.
Answer:

Step-by-step explanation:
Given an hyperbola with the following conditions:
- Foci at (-10,0) and (10,0)
- x-intercept +/- 6;
The following holds:
- The center is midway between the foci, so the center must be at (h, k) = (0, 0).
- The foci are 10 units to either side of the center, so c = 10 and

- The center lies on the origin, so the two x-intercepts must then also be the hyperbola's vertices.
Since the intercepts are 6 units to either side of the center, then a = 6 and 

Therefore, substituting
and
into the standard form

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