First to answer gets brainliest

Determine the measure of angle a. PLEASE HELP ASAP!

wlad13 [49]

Answer:

D

Step-by-step explanation:

Remember that the sum of the interior angles of a triangle will always total 180.

Therefore:

$(9x+6)+(74)+(16x)=180\\$

Let’s solve for x:

Combine LIke Terms:

$(9x+16x)+(74+6)=180$

Add:

$25x+80=180$

Subtract 80 from both sides:

$25x=100$

Divide both sides by 25:

$x=4$

Therefore, the value of x is 4.

Now, to find A, we can substitute it for A.

A is measured by:

$\angle A=9x+6$

Substitute 4 for x and evaluate:

$\angle A=9(4)+6=36+6=42\textdegree$

Hence, our answer is D.

6 0

3 years ago

An accelerated life test on a large number of type-D alkaline batteries revealed that the mean life for a particular use before

zheka24 [161]

Answer:

68.2% of the batteries failed between 17.8 and 20.2 hours.

95.44% of the batteries failed between 16.6 and 21.4 hours.

99.97% of the batteries failed between 15.4 and 22.6 hours.

Step-by-step explanation:

The 68-95-99.7 states that, for a normally distributed sample:

68.26% of the measures are within 1 standard deviation of the sample.

95.44% of the measures are within 2 standard deviations of the sample.

99.97% of the measures are within 3 standard deviations of the sample.

In this problem, we have that:

Mean of 19 hours, standard deviation of 1.2 hours.

About 68.26% of the batteries failed between what two values?

This is within 1 standard deviation of the mean. So 68.2% of the batteries failed between 17.8 and 20.2 hours.

About 95.44% of the batteries failed between what two values?

This is within 2 standard deviations of the mean. So 95.44% of the batteries failed between 16.6 and 21.4 hours.

About 99.97% of the batteries failed between what two values?

This is within 3 standard deviations of the mean. So 99.97% of the batteries failed between 15.4 and 22.6 hours.

5 0

2 years ago

Read 2 more answers

20. The sum of two consecutive even integers is 158. Find the least of the two integers.

Mumz [18]

Answer:

78

Step-by-step explanation:

The tricky part of this is figuring out how to assign the unknowns. We are told that we are working with two consecutive even integers. Consecutive means "next to" or "in order" and sum means to add. If we use 2 and 4 as examples of our 2 consecutive even integers and assign x to 2, then in order to get from 2 to 4 we have to add 2. So the lesser of the 2 integers is x, and the next one in order will be x + 2. (2 and 4 are just used as examples; they mean nothing to the solving of this particular problem. You could pick any 2 even consecutive integers and find the same rule applies. All we are doing here with the example numbers is finding a rule for our integers.) Now we have the 2 expressions for the integers, we will add them together and set the sum equal to 158:

x + (x + 2) = 158

The parenthesis are unnecessary since we are adding, so when we combine like terms we get

2x + 2 = 158 and

2x = 156 and

x = 78

That means that the lesser of the 2 integers in 78, and the next one in order would be 80, and 78 + 80 = 158

6 0

3 years ago

Read 2 more answers

Find the slope of the line through (4, 6) and (4, 10). A.0 B.3 C.1/3 D. Undefined

Neko [114]

Answer:

D. Undefined

Step-by-step explanation:

4-4 = 0, 10-6 = 4

Change of x = 0

Change of y = 4

Since the change of x is 0 (a horizontal line), it is undefined.

6 0

2 years ago

What is 25 5/10 x 3 as a mixed number?

Dvinal [7]

Answer:

This has the steps and the answer tell if you want the websites name

7 0

3 years ago