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Gnom [1K]
3 years ago
15

What is the value of x

Mathematics
1 answer:
Misha Larkins [42]3 years ago
3 0
ANSWER:

x = 55°

The value of 'x' is equivalent to 55°.

STEP-BY-STEP EXPLANATION:

The rhombus in the rectangle is a regular rhombus. It has two pairs of parralell sides.

Therefore, we can use co-interior angles on parallel lines to solve this problem. Co-interior angles are two angles on parallel lines which form a 'C' shape and add up to 180°.

THEREFORE:

( 2x + 20 )° + ( 50 )° = 180°

2x = 180 - 20 - 50

2x = 110

x = 110 / 2

x = 55°
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Step-by-step explanation:

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

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a. significantly high​ (or at least 2 standard deviations above the​ mean).

This is 1 subtracted by the pvalue of Z = 2.

Z = 2 has a pvalue of 0.9772

1 - 0.9772 = 0.0228

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b. significantly low​ (or at least 2 standard deviations below the​ mean).

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Z = -2 has a pvalue of 0.0228

2.28% of scores are signicantly low.

c. not significant​ (or less than 2 standard deviations away from the​ mean).

pvalue of Z = 2 subtracted by the pvalue of Z = -2.

Z = 2 has a pvalue of 0.9772

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0.9772 - 0.0228 = 0.9544

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