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I am Lyosha [343]
3 years ago
9

Find the measure of each acute angle.

Mathematics
1 answer:
Alona [7]3 years ago
7 0

Answer:

(19x - 1)° = 56°

(13x - 5)° = 34°

Step-by-step explanation:

Property of the interior angles of a triangle:

Sum of interior angles of a triangle is 180°.

Therefore, sum of angles of the given right triangle will be,

(19x - 1)° + (13x - 5)° + 90° = 180°

32x - 6 + 90 = 180

32x = 96

x = 3

(19x - 1)° = 19×3 - 1 = 56°

(13x - 5)° = 13×3 - 5 = 34°

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300 - 70 = 270 boom

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Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If
vesna_86 [32]

Answer:

<h2>The probability is 58 %.</h2>

Step-by-step explanation:

This problem belong to a normal distribution probability.

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Standard Deviation = 2.5.

We have to find the probability of a height greater than 63.0.

Due to the normal probability, we need to find the Z score first:

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Once we have our Z score, we find the probability with the z-table (attached). So, for a z score of -0.24 we have a probability of 0.42.

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6 0
3 years ago
Multiply<br> (2x + 4)(2x - 4)
lakkis [162]

Answer:

4x^2 -16

Step-by-step explanation:

(2x + 4)(2x - 4)

FOIL

first:2x*2x = 4x^2

outer: -4 *2x = -8x

inner:  4*2x = 8x

last: -4*4 = -16

Add them together

4x^2 -8x+8x =-16

4x^2 -16

8 0
3 years ago
Read 2 more answers
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