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Nataly_w [17]
3 years ago
14

Pls help me im confused! angle #1 = x = ? angle #2 = X + 30 = ?

Mathematics
1 answer:
sasho [114]3 years ago
7 0

When the sum of two angles measures up to 90° then these angles are known as complementary angles of each other. The measure of ∠1 is 30°, while the measure of ∠2 is 60°.

<h3>What are Complementary Angles?</h3>

When the sum of two angles measures up to 90° then these angles are known as complementary angles of each other.

for example, ∠x + ∠y = 90°, therefore, the ∠x and ∠y are the complementary angles of each other.

Since the two angles together form a 90° angle. The angles are complementary to each other, therefore, we can write,

∠1 + ∠2 = 90°

x + x + 30 = 90°

2x = 60°

x = 30°

Thus, the measure of the angles can be written as,

∠1 = x = 30°

∠2 = x+30° = 60°

Hence, the measure of ∠1 is 30°, while the measure of ∠2 is 60°.

Learn more about Complementary Angles:

brainly.com/question/5708372

#SPJ1

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Stella [2.4K]

Answer:

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Step-by-step explanation:

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5 0
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At 13% significance level, there isn't enough evidence to prove the administrators to claim that the mean score for the​ state's eighth graders on this exam is more than 280.

<h3>How to state hypothesis conclusion?</h3>

We are given;

Sample size; n = 78

population standard deviation σ = 37

Sample Mean; x' = 280

Population mean; μ = 287

The school administrator declares that mean score is more (bigger than) 280. Thus, the hypotheses is stated as;

Null hypothesis; H₀: μ > 280

Alternative hypothesis; Hₐ: μ < 280

This is a one tail test with significance level of α  = 0.13

From online tables, the critical value at α  = 0.13 is z(c) = -1.13

b) Formula for the test statistic is;

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z = ((280 - 287) *√78 )/37

z = -1.67

c) From online p-value from z-score calculator, we have;

P[ z > 280 ] =  0.048

d) The value for z = -1.67  is smaller than the critical value mentioned in problem statement z(c) = - 1.13  , the z(s) is in the rejection zone. Therefore we reject H₀

e) We conclude that at 13% significance level, there isn't enough evidence to prove the administrators to claim that the mean score for the​ state's eighth graders on this exam is more than 280.

Read more about Hypothesis Conclusion at; brainly.com/question/15980493

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Xelga [282]
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Step-by-step explanation:

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Solve x^2 =-25, where x is a real number.
inysia [295]

Answer: x = ±5i

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x = i√25

x = ±i5

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