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3 years ago

Determine the measure of the missing angle in each triangle? Please help me ASAP

Mathematics

1 answer:

IrinaK [193]3 years ago

8 0

Answer:

Step-by-step explanation:

Sum of angles in a triangle = 180

1. 180 = 78 + 37 + x

180 = 115 + x

Subtract 115 from both sides

180 - 115 = 115 + x - 115

180 - 115 = x

65 = x

x = 65°

2. 180 = 80 + 66 + x

180 = 146 + x

Subtract 146 from both sides

180 - 146 = 146 + x - 146

34 = x

x = 34°

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Paul Kim estimates that he will drive about 10,000 miles during the year and will have $3,460 in annual fixed costs. He projects

Mama L [17]

Answer:

The maximum annual variable cost he can have to reach his projection is $1,940

Step-by-step explanation:

Given;

Number of miles drive per year N = 10,000 miles

Total annual Fixed cost F = $3,460

cost per mile(rate) r = $0.54 or less

Total cost = fixed cost + variable cost

Total cost = cost per mile × number of miles

Total cost = r × N = $0.54 × 10,000 = $5,400

Let V represent the total variable cost per year;

F + V ≤ r × N

Substituting the values;

3,460 + V ≤ 5,400

V ≤ 5,400 - 3,460

V ≤ 1,940

The maximum annual variable cost he can have to reach his projection is $1,940

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3 years ago

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zvonat [6]

Answer:

The IQR describes the middle 50% of values when ordered from lowest to highest. To find the interquartile range (IQR), first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.

Step-by-step explanation:

6 0

3 years ago

What is x/9 = 9/27 help plz

Irina18 [472]

<h3>QUESTION: </h3>

what is x/9 = 9/27 help plz

<h3>ANSWER AND SOLUTION: </h3>

SOLVING FOR X

Reduce first the fraction with 9

$\large \sf = \dfrac{x}{9} = \dfrac{ \cancel9}{ \cancel{27}}$

 $\large \sf = \dfrac{x}{9} = \dfrac{1}{3}$ 

Now simplify using cross-multiply

 $\large \sf = \dfrac{3x}{9} = 1$ 

 $\large \sf = 3x = 1 \times 9$ 

 $\large \sf = 3x = 9$ 

Lastly divide both sides

 $\large \sf = 3x \div 3 = 9 \div 3$ 

 $\large \sf = x = 9 \div 3$ 

 $\large \sf = x = 3$ 

<h3>FINAL ANSWER:</h3>

$\huge \orange{ \underline{ \boxed{ \sf{x = 3}}}}$

HOPE THIS HELP YOU! HAVE A NICE DAY!

~kimtaetae92~

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3 years ago

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igor_vitrenko [27]

Answer:

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3 years ago

How many solutions does this system have?

8_murik_8 [283]

Answer:

Step-by-step explanation:

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2x - 4y = 8

x + y = 7

Change to y = mx + b

y = (1/2)x - 2

y = -x + 7

The slopes are different so there is 1 solution.

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6 0

4 years ago

Read 2 more answers