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pentagon [3]
3 years ago
12

Given: circle k(O)

Mathematics
1 answer:
GaryK [48]3 years ago
5 0

Answer:

measure angle FP is 62°

Step-by-step explanation:

The angle R inscribes the arc FQ, so using the property of inscribed angles in a circle, we have that:

m∠R = mFQ / 2

The arc FQ is the sum of the arcs FP and PQ, so we have:

mFQ = mFP + mPQ = 11x + 7 + 60 = 11x + 67

Now, with the first equation, we have:

12x + 1 = (11x + 67) / 2\\\\24x + 2 = 11x + 67\\\\13x = 65\\\\x = 5^\circ

So we have that mFP

= 11x + 7 \\\\= 55 + 7 \\\\= 62^\circ

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What’s Distribute -x(5x+2)
MaRussiya [10]

Answer:

-5x^2-2x

Step-by-step explanation:

When distributing, you multiply the term outside the brackets to all the terms in brackets.

If the term outside the bracket is negative, then when distributing/opening the brackets, the signs of the terms changes.

So in this prob. -x would multiply to both +5x and +2

-x*5x+-x*2

∴-5x^2-2x

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4 years ago
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What is the correct domain and range in set notation
Kipish [7]

Answer:

The one on the middle left.

Explanation:

x goes infinitely in the positive direction.

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7 0
3 years ago
Triangle FEG is similar to triangle IHJ. Find angle H.
Marysya12 [62]

i’m just as stupid man i need help on the exact same one

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3 years ago
If f(x)=x - 1 and g(x) = 5x – 2, then (f.g) (x)=
Serjik [45]

Answer:

Step-by-step explanation:

Hello,

If you mean

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7 0
4 years ago
The recommended angle for a firefighting ladder is 75 degrees. When a 110-foot ladder is put up against a building at this angle
Sergeeva-Olga [200]

Answer: 114.37 ft

Step-by-step explanation:

If we model this situation as a right triangle, where the hypotenuse is the length of the ladder (110 ft), the opposite leg is the height the ladder will reach h, and the adjacent leg is the distance between the base of the ladder and the building (28 ft); we have two options:

1) Using trigonometric functions, since we are given the angle \theta=75\°

2) Using the Pithagorean Theorem

Any of the options will give a similiar result. So, let's choose the Pithagorean Theorem:

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Isolating h:

h=\sqrt{(110 ft)^{2}-(28 ft)^{2}}

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h=106.37 ft+8 ft=114.37 ft This is the height the ladder will reach

6 0
3 years ago
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