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SpyIntel [72]
3 years ago
13

Angle C is an inscribed angle of circle P. Angle C measures (-x + 8) degrees and arc AB measures (12x) degrees. Find x

Mathematics
2 answers:
Bas_tet [7]3 years ago
5 0

Answer:

<h2>The variable is 8/7.</h2>

Step-by-step explanation:

Givens

\angle C = -x+8\\arcAB=12x

To solve this problem, we need to use the Inscribed Angle Theorem which states that an angle inscribed in a circle is half of the subtended arc.

Based on this theorem, we have

\angle C=\frac{1}{2}arcAB

Replacing each expression

-x+8=\frac{1}{2}(12x)\\ -x=6x-8\\8=x+6x\\7x=8\\x=\frac{8}{7}

Therefore, the variable is 8/7.

harina [27]3 years ago
4 0

The rule for this is that the measure in degrees of the inscribed angle is half the measure of the arc in degrees. If angle C measures 8-x and arc AB measures 12x, then the formula to solve for x would be

8-x=\frac{1}{2}(12x). Simplifying a bit gives us that 8 - x = 6x. Add x to both sides and we have 8 = 7x and x = 8/7.

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3 years ago
A scale drawing of a field is shown below. The drawing uses a scale of 1 in. = 14 ft. What is the area of the actual field?
svp [43]

Answer:

D. 4,704 ft²

Step-by-step explanation:

Giving a scale of 1 in. = 14 ft, to find the actual area of the field represented by the triangular drawing above, convert the length of the base and height to the actual lengths of the field using the scale.

Height of drawing = 8 in.

Actual height = 8*14 = 112 ft

Base of drawing = 6 in.

Actual base = 6*14 = 84 ft

Area of the field = area of ∆

Area = ½*base*height

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Area = 4,704 ft²

3 0
2 years ago
Question
balandron [24]

Answer:

The approximate percentage of SAT scores that are less than 865 is 16%.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 1060, standard deviation of 195.

Empirical Rule to estimate the approximate percentage of SAT scores that are less than 865.

865 = 1060 - 195

So 865 is one standard deviation below the mean.

Approximately 68% of the measures are within 1 standard deviation of the mean, so approximately 100 - 68 = 32% are more than 1 standard deviation from the mean. The normal distribution is symmetric, which means that approximately 32/2 = 16% are more than 1 standard deviation below the mean and approximately 16% are more than 1 standard deviation above the mean. So

The approximate percentage of SAT scores that are less than 865 is 16%.

8 0
2 years ago
I need help with these two questions please!
Novay_Z [31]
The first one is rectangle
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2 years ago
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What all sets does 4/5 belong too? Natural, whole, integer, rational, irrational, real?
Lera25 [3.4K]

Answer:

Real, rational

Step-by-step explanation:

7 0
3 years ago
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