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Anarel [89]
3 years ago
7

In the diagram, the measure of angle 3 is (23x)°, and the measure of angle 4 is (7x)°.

Mathematics
2 answers:
Anna [14]3 years ago
5 0

Answer:

<h2>42</h2>

Step-by-step explanation:

Sophie [7]3 years ago
3 0
Angles three and four are a linear pair, meaning that they they form a line. When two angles make a line, the measures add up to 180°. Adding the two values together, we see that 3x+27x=180. Simplifying and solving for x, we get 30x=180 ⇒ x=6.

The question, however, is asking for the measure of angle 4. Thus, we plug x=6 into 7x to get 6(7)=42.

Hope this helped!
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The figure shows how a leaf meets the stem of a flower to form two angles.
MrRissso [65]

Answer:

8

Step-by-step explanation:

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4 0
3 years ago
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A customer service phone line claims that the wait times before a call is answered by a service representative is less than 3.3
Vika [28.1K]

Answer:

(A) Yes, since the test statistic is in the rejection region defined by the critical value, reject the null. The claim is the alternative, so the claim is supported.

Step-by-step explanation:

Null hypothesis: The wait time before a call is answered by a service representative is 3.3 minutes.

Alternate hypothesis: The wait time before a call is answered by a service representative is less than 3.3 minutes.

Test statistic (t) = (sample mean - population mean) ÷ sd/√n

sample mean = 3.24 minutes

population mean = 3.3 minutes

sd = 0.4 minutes

n = 62

degree of freedom = n - 1 = 62 - 1 = 71

significance level = 0.08

t = (3.24 - 3.3) ÷ 0.4/√62 = -0.06 ÷ 005 = -1.2

The test is a one-tailed test. The critical value corresponding to 61 degrees of freedom and 0.08 significance level is 1.654

Conclusion:

Reject the null hypothesis because the test statistic -1.2 is in the rejection region of the critical value 1.654. The claim is contained in the alternative hypothesis, so it is supported.

5 0
3 years ago
Please lemme know soon, ty
Mrac [35]

Answer:

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ELEN [110]

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Marysya12 [62]

Answer:

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= cos Θ + 5 cos Θ

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3 0
2 years ago
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