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aalyn [17]
3 years ago
5

The measure of angle DBE is (0.1x - 22) and the measure of angle CBE is (0.3x - 54). Find the value of x.

Mathematics
1 answer:
ElenaW [278]3 years ago
8 0

The measure of angle DBE is (0.1x - 22) and the measure of angle CBE is (0.3x - 54). The value of x is 415

Step-by-step explanation:

Given that,

The measure of angle DBE   (0.1x - 22)

The measure of angle CBE (0.3x - 54)

<u>Step 1</u>

As per the  Angle Addition Postulate,

m∠DBE+m∠CBE=m∠DBC

<u> Step 2</u>

Since∠ DBC is a right angle as indicated by the square symbol, then m∠DBC=90°.

Hence,

(0.1x-22)+(0.3x-54)= 90

<u>Step 3</u>

Lets solve the equation  for x

We know that 0.4x-76= 90

0.4x= 166

x=166/0.4

x=415

<u>Step 4</u>

<u>Answer :</u> The value of x is 415

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You go to Home Depot to buy some materials for a project. Your total bill for materials only was $45.90. You go to the check out
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Answer:

$34.20

Step-by-step explanation:

First, find the cost with tax

You are paying 7.2% tax, but you are also paying for 100% of the bill

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So, you are really paying for 107.2% of the bill

Convert 107.2% to a decimal by dividing by 100 or moving the decimal 2 spaces to the right

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Multiply the decimal by the cost of the bill

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But, we also have a coupon for $15 off

Subtract 15 from the cost with tax

49.2048-15=34.2048

Round to the nearest cent/hundreth

$34.20

Hope this helps! :)

6 0
3 years ago
The difference of the square of a number and 10 is equal to 3 times that number. Find the negative solution.
Harrizon [31]

Answer:

-2

Step-by-step explanation:

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x^2 - 10 = 3x, or

x^2-3x-10 = 0

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(x-5)(x+2) = 0. Here, we see that there are two solutions: x = 5 and x = -2. So, the negative solution is x = -2.

3 0
3 years ago
A researcher says to the respondents in a poll, “Eating too many sugary foods leads to cavities. Would you rather have soda or w
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. D. Yes, the more information provided by a researcher the better. Respondents can now give an informed opinion and the results will be more accurate.

Step-by-step explanation:

But again this could be an opinion answer as well

Hope this helps

If this seems incorrect anyway please just comment and I shall change my answer thanks very much :)

6 0
3 years ago
A political pollster conducted a study to determine political party loyalty. To do so, he selected a random sample of 100 regist
Reika [66]

Answer: (a)

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(b)

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(c)

Since in the Hypothesis Test, we have failed to reject null hypothesis, we could have made: Type II Error: Failure to reject a false null hypothesis. One potential consequence of this error is as follows:

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Step-by-step explanation:

got this from chegg!!!

5 0
3 years ago
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