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kolbaska11 [484]
2 years ago
13

NEED HELP!! 30 POINTS! HAS TO BE CORRECT AND NEED THE ANSWER NOOW!

Mathematics
1 answer:
jenyasd209 [6]2 years ago
6 0

Answer: options b and c

<u>Step-by-step explanation:</u>

∠ACD is supplementary to ∠ACE  <em>given</em>

∠ACD is supplementary to ∠BCD   <em>given</em>

⇒ ∠ACE is supplementary to ∠BCD   <em>transitive property</em>


∠ACD ≅ ∠BCE   <em>given</em>

⇒ ∠BCE is supplementary to ∠ACE  <em>substitution</em>

and ∠BCE is supplementary to ∠BCD   <em>substitution</em>

********************************************************************************

multiple choice options:

a) ∠ACE is supplementary to ∠BCD    <em>False</em>

b) ∠BCE is supplementary to ∠ACE    <em>TRUE</em>

c) ∠BCD is supplementary to ∠BCE    <em>TRUE</em>

d) ∠ACE ≅ ∠BCE                                   <em> False</em>

e) ∠BCD ≅ ∠ACE                                   <em>False</em>


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Answer:

$340

Step-by-step explanation:

The pool is 5 yards wide by 10 yards long, so adding the deck will make the total area 7 yards wide by 12 yards long, or ...

(7 yd)·(12 yd) = 84 yd^2

The pool itself is ...

(5 yd)·(10 yd) = 50 yd^2

so the area of the deck is ...

84 yd^2 -50 yd^2 = 34 yd^2

Wood for each of those square yards costs $10, so the total cost is ...

($10/yd^2)·(34 yd^2) = $340

6 0
3 years ago
Suppose you are going to conduct a two tail test concerning the population mean. Suppose that you do not know what the populatio
IRINA_888 [86]

Answer:

The critical value of <em>t</em> at 0.01 level of significance is 2.66.

Step-by-step explanation:

The hypothesis for the two-tailed population mean can be defined as:

<em>H₀</em>: <em>μ </em>= <em>μ₀</em> vs. <em>H₀</em>: <em>μ </em>≠ <em>μ₀</em>

It is provided that the population standard deviation is not known.

Since there is no information about the population standard deviation, we will use a <em>t</em>-test for single mean.

The test statistic is defined as follows:

t_{cal.}=\frac{\bar x-\mu}{s/\sqrt{n}}\sim t_{\alpha/2, (n-1)}

The information given is:

<em>n</em> = 55

<em>α</em> =<em> </em>0.01

Compute the critical value of <em>t</em> as follows:

t_{\alpha/2, (n-1)}= t_{0.01/2, (55-1)}=t_{0.005, 54}=2.66

*Use a <em>t</em>-table for the value.

If the desired degrees of freedom are not provided consider he next highest degree of freedom.

Thus, the critical value of <em>t</em> at 0.01 level of significance is 2.66.

4 0
2 years ago
Two bags of grass seed cover 1,500 square feet of ground. If Mitch’s front yard is 1,850 square feet and his back yard is 5,635
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50

Step-by-step explanation:

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1 year ago
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Answer:

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Step-by-step explanation:

6 0
2 years ago
Consider the two expressions 4b(b+1) and (2b+7)(2b-8). Compare their values if b=-3, b=-2, and if b=10. Is it true that for an v
frutty [35]

Answer:

FIRST EXPRESSION:

-  If b=-3, the value of 4b(b+1) is  24

-  If b=-2, the value of 4b(b+1) is  8

- If b=10, the value of 4b(b+1) is  440

 SECOND EXPRESSION:

-  If b=-3, the value of (2b+7)(2b-8)) is  -14

-  If b=-2, the value of (2b+7)(2b-8)) is  -36

- If b=10, the value of (2b+7)(2b-8)) is  324

Yes, for any value of "b" the value of the first expression is greater than the value of the second expression.

Step-by-step explanation:

Substitute the given values of "b" into each expression and evaluate.

- For the first expression 4b(b+1), you get:

If b=-3 → 4(-3)(-3+1)=24

If b=-2 → 4(-2)(-2+1)=8

 If b=10 → 4(10)(10+1)=440

 - For the second expression (2b+7)(2b-8)), you get:

If b=-3 → (2(-3)+7)(2(-3)-8)=-14

If b=-2 → (2(-2)+7)(2(-2)-8)=-36

 If b=10 → (2(10)+7)(2(10)-8)=324

You can observe that for any value of "b" the value of the first expression is greater than the value of the second expression.

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