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cestrela7 [59]
2 years ago
8

DECK is a parallelogram with m∠1 = 20°, m∠(

{2}" align="absmiddle" class="latex-formula">)°, and m∠CED = (9x)°. Find m∠2.

Mathematics
1 answer:
maw [93]2 years ago
7 0

9514 1404 393

Answer:

  m∠2 = 16° or 25°

Step-by-step explanation:

The sum of angles 1 and 2 is congruent to angle CED.

  20° +(x^2)° = (9x)°

  x^2 -9x +20 = 0 . . . . . divide by °, put in standard form

  (x -5)(x -4) = 0 . . . . . . . factor

  x = 5 or 4

  m∠2 = (x^2)° = (5^2)° or (4^2)°

  m∠2 = 16° or 25°

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Ray Of Light [21]
The formula is
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To find p (present value) solve the formula for p
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3 0
2 years ago
The sum of 2 numbers is 46. One number is 12 more than the other. What are the numbers?
harkovskaia [24]

Answer:

two numbers are 29 and 17

Step-by-step explanation:

let the number be x

12+x+x=46

2x=46-12

x=34/2

x=17

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5 0
2 years ago
Read 2 more answers
A simple random sample of size nequals40 is drawn from a population. The sample mean is found to be 103.9​, and the sample stand
yan [13]

Answer:

There is enough evidence to support the claim that the population mean is greater than 100

Step-by-step explanation:

<u>Step 1</u>: We state the hypothesis and identify the claim

H_0:\mu=100 and H_1:\mu \:>\:100 (claim)

<u>Step 2</u>: Calculate the test value.

t=\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }

\implies t=\frac{103.9-100}{\frac{21.9}{\sqrt{40} } }=1.1263

<u>Step 3</u>: Find the P-value. The p-value obtained from a calculator is using d.f=39 and test-value 1.126 is 0.134

<u>Step 4</u>: We fail to reject the null hypothesis since P-value  is greater that the alpha level. (0.134>0.05).

<u>Step 5</u>: There is enough evidence to support the claim that the population mean is greater than 100.

<u>Alternatively</u>: We could also calculate the critical value to obtain +1.685 for \alpha=0.05 and d.f=39 and compare to the test-value:

The critical value (1.685>1.126) falls in the non-rejection region. See attachment.

NB: The t- distribution must be used because the population standard deviation is not known.

5 0
3 years ago
25 divided by something = 3 remainder 4
NeX [460]

7 would be the number cause;

25 ÷ 7 = 3 r4

hope that helps :D

8 0
3 years ago
Find the missing side length of JK .
kondor19780726 [428]

Answer:

I'm pretty sure it's 16

Step-by-step explanation:

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