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3 years ago

Tell whether the angles are adjacent or vertical. Then find the value of x.

Mathematics

1 answer:

Alexandra [31]3 years ago

3 0

Answer:

Vertical/ x = 25.

Step-by-step explanation:

Vertical angles are self-explanatory; vertical angles are angles that are vertical from each other.

Vertical angles are also congruent (equal), meaning that both angles equal 75°.

4x - 25 = 75.

To solve this expression, we must first add 25 to 75. This is because there is a subtraction sign in front of 25, so we must do the opposite.

25 + 75 = 100

Lastly, divide 100 from 4.

4x = 100

100 / 4 = 25

x = 25

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Caleb wants to work as a dog walker. One client offers him $10 per day to walk his dog Puff, and wants Caleb to walk Puff every

BabaBlast [244]

Answer:

he will earn more if he walks Puff .

Step-by-step explanation:

This is because they are seven days in a week which will make him gain $70 per week if he walks puff but will gain $60 per week if he walks shane so caleb should walk puff if he wants to gain more.

6 0

3 years ago

PLEASE HELP ASAP OFFERING 15 POINTS!!

Brut [27]

Hello!

Let's solve this using a system of equations. We will have w be the width and L be the length.

w=0.5L
wL=50

Now we will substitute the value for y in the second equation.

0.5L(L)=50
0.5L²=50
L²=100
L=10

Now we plug our L value into the first equation.

w=0.5(10)
w=5

The width is 5 and the length is 10.

I hope this helps!

5 0

3 years ago

Read 2 more answers

Profit or loss. Jim bought 30 roses for $3 each. He sold the roses for $4 each. did Jim have a profit or a loss? How much is his

Anit [1.1K]

Answer:

Profit by $30

Step-by-step explanation:

A one dollar difference means he made how much product he had. in this case, 30

7 0

3 years ago

alisha [4.7K]

Answer:

$d=3\sqrt{2}\ units$

Step-by-step explanation:

The complete question is

Line L contains points (3, 5) and (7, 9). Points P has coordinates (2, 10). Find the distance from P to L

step 1

Find the equation of the line L contains points (3,5) and (7,9)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the given values

$m=\frac{9-5}{7-3}$

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

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=1\\point\ (3,5)$

substitute

$y-5=(1)(x-3)$

isolate the variable y

$y=x-3+5$

$y=x+2$ -----> equation A

step 2

Find the equation of the perpendicular line to the given line L that passes through the point P

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal

The slope of the given line L is $m=1$

The slope of the line perpendicular to the given line L is

$m=-1$

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=-1\\point\ (2,10)$

substitute

$y-10=-(x-2)$

isolate the variable y

$y=-x+2+10$

$y=-x+12$ ----> equation B

step 3

Find the intersection point equation A and equation B

$y=x+2$ -----> equation A

$y=-x+12$ ----> equation B

solve the system by graphing

The intersection point is (5.7)

see the attached figure

step 4

we know that

The distance from point P to the the line L is equal to the distance between the point P and point (5,7)

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

(2,10) and (5,7)

substitute

$d=\sqrt{(7-10)^{2}+(5-2)^{2}}$

$d=\sqrt{(-3)^{2}+(3)^{2}}$

$d=\sqrt{18}\ units$

simplify

$d=3\sqrt{2}\ units$

see the attached figure to better understand the problem

6 0

4 years ago

1. The perimeter of a piece of paper is 18 cm.

OlgaM077 [116]

Answer:

a) length = 3 and width = 6

Area of the rectangle = 3 × 6 = 18 cm²

b) length = 7 and width = 2

Area of the rectangle = 7 × 2 = 14 cm²

c) length = 5 and width = 4

Area of the rectangle = 5× 4 = 20 cm²

Step-by-step explanation:

Step(i):-

Given perimeter of the paper = 18 cm

we know that the paper has a rectangle shape

The perimeter of the rectangle = 18 cm

2( l + w ) = 18

we choose length = 3 and width = 6

The perimeter of the rectangle = 2( 3+6) = 18 cm

Area of the rectangle = 3 × 6 = 18 cm²

we choose length = 7 and width = 2

The perimeter of the rectangle = 2( 7+2) = 18 cm

Area of the rectangle = 7 × 2 = 14 cm²

we choose length = 5 and width = 4

The perimeter of the rectangle = 2( 5+4) = 18 cm

Area of the rectangle = 5× 4 = 20 cm²

3 0

3 years ago