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Blababa [14]
3 years ago
11

In Exercises 15-18, find the measure of the exterior angle.​

Mathematics
1 answer:
valina [46]3 years ago
6 0

Answer:

The measure of the exterior angle is 92 degrees

Step-by-step explanation:

Problem 16)

we know that

An exterior angle of a triangle is equal to the sum of the opposite interior angles

so

In this problem

(2x-2)\°=x\°+45\°

solve for x

2x-x=45+2

x=47\°

Find the measure of the exterior angle

(2x-2)\°=(2(47)-2)=92\°

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Leto [7]

Answer:

87.7 degrees.

Step-by-step explanation:

In triangle ABC, attached.

The height of the building |AB|=443 meters

The distance of the agent across the street , |BC|=18 meters

We want to determine the angle at C.

Now,

Tan C=\dfrac{|AB|}{|BC|} \\C=arctan (\dfrac{|AB|}{|BC|} )\\=arctan (\dfrac{443}{18} )\\=87.67^\circ\\\approx 87.7^\circ $(correct to the nearest tenth)

The agent should sfoot his laser gun at an angle of 87.7 degrees.

7 0
3 years ago
Whats the reciprocal of 5.87*10^4
Alexxandr [17]
58700 because if you follow the rules of PEMDAS then you would have to exponents 10^4 is 10000 then multiply 5.87 which gives 58700
4 0
3 years ago
Gene moved to a new school on the 24th day of the 2nd month of a common year. When his new teacher introduced him to the class,
Airida [17]

Answer:

Genes birthday is February 29th, or March 1st on a Leap Year

February has 29 days in a common year, so 24+7 is the 29th

February has 28 days in a Leap Year, so one less day would lead you to March 1st

7 0
3 years ago
Solve each system by substitution.<br> y=-4x-9 y=3x+19
Alekssandra [29.7K]

Answer:

x=-4, y=7

Step-by-step explanation:

According to the first equation, y = -4x - 9, so we can substitute y in the second equation for -4x - 9.

y = 3x + 19

-4x - 9 = 3x + 19

Add 9 to both sides

-4x = 3x + 28

Subtract 3x

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Divide by -7

x = -4

Plugging this into the equation, we have:

y = -4x - 9

y = -4(-4) - 9

y = 16 - 9

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5 0
2 years ago
Which equation could represent the relationship shown in the scatter plot?
KonstantinChe [14]
Choice D : look at where you think the line would be if it followed the direction of the data so that about half of the points fell above the line and half below. The two most important things to note are the slope of the line and y intercept.
This is a negative relationship as the line falls as you read it from left to right. That eliminates choice C. Next, it appears the line of best fit would have a y intercept around 10 on the y axis and then fall down and to the right cutting the data. Note that choices A and B have y intercepts that don't make sense for the data. Choice D does have a y intercept of 10 and a negative slope.
8 0
3 years ago
Read 2 more answers
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