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AfilCa [17]
3 years ago
14

In a triangle, two angles have measures of 45 degrees and 85 degrees. What is the measure of the third angle in this triangle?

Mathematics
1 answer:
Blizzard [7]3 years ago
5 0

Answer:

50 degrees

Step-by-step explanation:

All three angles in a triangle add up to 180 degrees. If you know the measure of two angles, add them together and subtract the sum from 180.  

45+85=130.  Then, subtract 130 from the total, or 180.   180-130=50. The measure of the third angle of the triangle is 50 degrees.

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A business breaks even when the production costs are equal to the revenue. The expression 120+4x represents the cost of producin
nika2105 [10]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

The expression 120+4x represents the cost of producing x items. The selling price is $5 for each item.

<u>The net income formula:</u>

y= (5 - 4)x - 120

(5-4)= contribution margin per unit sold (x)

120= fixed costs

<u>To calculate the break-even point in units, we need to use the following formula:</u>

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 120 / 1

Break-even point in units= 120 units

Prove:

y= 1*120 - 120

y= 0

5 0
3 years ago
Party supplies inc. sells metallic balloons for $2 each and helium balloons for $3.50 per bunch. Yesterday, they sold 36 more me
RUDIKE [14]

Answer:

Step-by-step expThe answer would be 18 because 36÷2 is 18.

5 0
3 years ago
Which expression is equivalent to 6/7 divided by 3/5 ?
Harman [31]

Answer:

A.

Step-by-step explanation:

6/7  / 3/5   we invert the divisor and multiply:

= 6/7 * 5/3

8 0
3 years ago
A table of values of a linear function is shown below. Find the output when the input is n . Type your answer in the space provi
amid [387]

Answer:

5; -22

Step-by-step explanation:

A linear function has a positive relationship and as such an increase in one variable (input variable) causes an increase in the other variable (output variable) i.e the variables are directly proportional.

Given the following data;

Input: 1 2 3 4 n

Output: -10 -13 -16 -19

For an input variable of 1, 2, 3, 4; the output variable is -10, -13, -16, -19 respectively.

To find the value of n;

We can deduce that the input is increasing by a value of 1.

Thus, n = 4 + 1 = 5

For the output;

We can deduce that the output is increasing by a value of -3.

Thus, the next output = -19 + (-3) = -22

6 0
3 years ago
Read 2 more answers
What is the interquartile range of the data represented by the box plot shown below?
mezya [45]

Answer:

<h2>The interquartile range is 22.</h2>

Step-by-step explanation:

The box plot shows all three quartiles, where the first one is 45, the second quartile is 50 and the third quartile is 67 (remember that there are only three quartiles in a dataset).

Now, the interquartile range is defined as the difference between the third and first quartile, which in this case is 67 - 45 = 22.

Therefore, the interquartile range is 22.

5 0
3 years ago
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