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Tresset [83]
2 years ago
15

If mAD = (17x + 2)°, mAC = (7x - 10°), and m∠ABC = (4x + 15)°, find m∠ABC Please help

Mathematics
1 answer:
goldenfox [79]2 years ago
4 0

Answer:

m<ABC  = 51degrees

Step-by-step explanation:

The angle at the vertex is half the difference of the angles at the intercepted arcs. Hence;

m<B = 1/2 (arcAD - arcAC)

<ABC = 1/2(17x + 2 -(7x - 10°))

4x + 15 = 1/2(17x-7x+2+10)

2(4x+15) = 10x+12

8x + 30 = 10x+12

8x-10x = 12-30

-2x = -18

x = 18/2

x = 9

Get m<ABC

m<ABC = 4x + 15

m<ABC = 4(9) + 15

m<ABC = 36 + 15

m<ABC  = 51degrees

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The y-intercept is at (0,2)

Step-by-step explanation:

If you loom at the vertical line in bold on the graph, you will see that the blue line is going through the y-axis.

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A person must score in the upper 8% of the population on an IQ test to qualify for membership in MENSA, the international high-I
Cloud [144]

Answer:

A person must get an IQ score of at least 138.885 to qualify.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 115, \sigma = 17

(a). [7pts] What IQ score must a person get to qualify

Top 8%, so at least the 100-8 = 92th percentile.

Scores of X and higher, in which X is found when Z has a pvalue of 0.92. So X when Z = 1.405.

Z = \frac{X - \mu}{\sigma}

1.405 = \frac{X - 115}{17}

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5 0
3 years ago
Read 2 more answers
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Firdavs [7]

True

using the converse of Pythagoras' identity

Given 3 sides of a triangle, if the longest side squared is equal to the sum of the squares of the other 2 sides then triangle is right.

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svet-max [94.6K]

Answer:

Step-by-step explanation:

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Point slope formula

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Substitute the given values into the formula.

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