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atroni [7]
3 years ago
12

The sum of the measures of two complementary angles exceeds the difference of their measure by 86º. Find the measure of each ang

le.
(For any of you who don't know, complementary means 2 angles that sum together to equal 90º)
Mathematics
1 answer:
katrin2010 [14]3 years ago
4 0
We will translate the given statement in the problem into 
x + y  = 90 
x - y =  90 - 86 = 4 where x and y are the angles that are complementary. solving simultaneously, x = 47 degreesy = 43 degrees. 
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Line a passes through that point (-8,-7) and has a slope of 5/8. Choose the equation that best represents A
GuDViN [60]

Answer:

y = 5/8 x -2

Step-by-step explanation:

Given that the slope of the line, m=5/8, which passes through the point (-8,-7).

Let the equation of the line be y=mx+c

where m is the slope of the line and c is a constant.

As m=5/8, so the equation of line become

y= 5/8x+c

As the line passes through the point (-8,-7), so putting y= -7 and x= -8, we have

-7 = 5/8(-8)+c

-7 = -5 + c

c= -7 + 5

c= -2

On putting the value of c, the equation of line become

y=5/8 x -2

Hence, the equation of the line is y = 5/8 x -2.

5 0
3 years ago
What is the simplified form of 30 times x to the sixth power over 14 times y to the fifth power times the fraction 7 times y-squ
Sonbull [250]
If we convert the given in its mathematical form, we have,

                      (30x⁶/14y⁵)(7y²/6x⁴)
It can be observed that the numerator of the first and the denominator of the second have a common factor of 6x⁴. Also, the denominator of the first and the numerator of the second expression have a common factor of 7y².

                      ((6x⁴)(5x²)/(7y²)(2y³))(7y²/6x⁴)

Cancellation of the common terms will give us an answer of,
  
                               <em>5x²/2y³

</em>
<em />Therefore, the simplified version of the involved operation is 5x²/2y³. <em>
</em>
6 0
3 years ago
A regular 12-oz beer is about 5% alcohol. This works out to about 14.03 grams of alcohol per beer. If the driver drank two beers
solong [7]

Answer:

A regular 12-oz beer is about 5% alcohol. This works out to about 14.03 grams of alcohol per beer. If the driver drank two beers, how many grams of alcohol did he consume? <u>28.06 grams</u>

The driver weighs about 160 lbs. What is his body weight in kg? What is his body volume in mL? (1 lb = 0.45 kg) (1 kg = 1000 mL)  <u>72.57 kg/72,560 mL</u>

For most males, 68 percent of the body is water. What is the volume of water in the driver’s body in mL?  <u>49,350 mL</u>

Use the above information to calculate BAC.  <u>0.0569%</u>

The measured BAC was 0.12%. Was the driver telling the truth about how much he drank? Calculate the difference between the two BAC percentages.  <u>No. 0.0569% is different.</u>

If the driver had really consumed only two beers, would he have been arrested for DUI? Explain.   <u>The driver would not have been arrested if he only had two beers. He more or less had more than two beers in his car when the police checked his car.</u>

Step-by-step explanation:

the underlined areas are your answers.

7 0
3 years ago
Multiply the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending pow
shutvik [7]

Answer:

a^3-125

Step-by-step explanation:

(a-5)(a^2+5a+25)

a^3+5a^2+25a-5a^2-25a-125

a^3+5a^2-5a^2+25a-25a-125

a^3-125

5 0
2 years ago
Read 2 more answers
3. To convert 5 to a fraction, what would the denominator be?
GalinKa [24]

Answer:

the denominator would be 1

Step-by-step explanation:

because 5 and 5/1 are equivalent

6 0
3 years ago
Read 2 more answers
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