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3 years ago

Find the exterior angle

Mathematics

1 answer:

scoundrel [369]3 years ago

4 0

Answer:

100 degrees

Step-by-step explanation:

55+45=100

180-100=80

180-80=100

Each Triangle is a total of 180 degrees since a triangle is half a square.

Every straight line is 180 degrees

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Determine any data values that are missing from the table, assuming that the data represent a linear function.

Stells [14]

Answer:

Fill in the blank with 14

Step-by-step explanation:

Given

The attached table

Required

Fill in the gap

Since, the table represents a linear function.

The first step is to calculate the slope of the table

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where

$(x_1,y_1) = (1,2)$

$(x_2,y_2) = (2,6)$

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{6 - 2}{2 - 1}$

$m = \frac{4}{1}$

$m=4$

The equation of the table is calculated next as:

$y - y_1 = m(x - x_1)$

This becomes

$y - 2 = 4(x - 1)$

$y - 2 = 4x - 4$

Solve for y

$y = 4x - 4+2$

$y = 4x -2$

To fill in the blank;

The value of x is 4

So, substitute 4 for x in $y = 4x -2$

$y = 4 * 4 - 2$

$y = 16 - 2$

$y = 14$

7 0

3 years ago

The distance between the cities Atlanta and Indianapolis is 540 miles. A motorcycle's speed is 48 mph. For a car it takes 2.25 h

WITCHER [35]

Answer:

It will take them 5 hours to meet if they start moving towards eachother simultaneusly.

Step-by-step explanation:

Distance, s = 540 miles

Motocycle's speed, v = 48 mph

Time for motorcycle to cover 48 miles, t = $\frac{Distance}{Speed}$

= $\frac{540}{48}$ = 11.25 h

For a car it takes 2.25 hours less than 11.25 for motorcycle:

Time for car than becomes: 11.25 - 2.25 = 9 h

Speed for car would be v(c) = $\frac{Distance}{Time}$

= $\frac{540}{9}$ = 60 mph

For finding when they will meet, we will need relative speed:

Since they are moving towards each other the relative speed is the sum of speed of car and the speed of motorcycle

Relative Speed = 48 + 60 = 108 mph

Distance = 540 miles

Time = $\frac{Distance}{Speed}$

= $\frac{540}{108}$

= 5 hours

6 0

3 years ago

If a tower casts a shadow 11 feet long the distance from the top of the tower to the end of the shadow is 61 feet .. How many fe

Alexeev081 [22]

Pythagorean theorem
the shadow legnth=bottom leg
legnth from top of tower to end of shadow=hypotounuse
height of tower=vertical leg

a^2+b^2=c^2
a and b are legs
c=hypotonuse

11^2+b^2=61^2
121+b^2=3721
minus 121 both sides
b^2=3600
sqrt both sides
b=60

height of toer is 60 feet

3 0

3 years ago

When you add two rational numbers, each number can be written as a?

ra1l [238]

The correct answer to your question is... a rational #, because when you add two rational #'s, each # can be written as a rational #.

Reasoning:
So, adding two rational #'s like adding fractions will result in another fraction of this same form since integers are closed under + and x. Thus, adding two rational #'s produces another rational #.

By the way # means number.

I hope this helps!
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Please mark as Brainliest!

Have a wonderful day! : )

8 0

4 years ago

Student spend 5 minutes of every 60 minutes at school moving from class to class. Which fraction is equivalent to the number of

Anastaziya [24]

A. 10/120 sorry if I’m wrong

4 0

3 years ago