retail store purchases a couch for $600 and marks it up 25% to sell. How much is the retailer asking for the couch?

Answer:

1.) x = 30 ; 150°   2.) x = 30 ; 50°  3.) x = 40 ; 122°

Step-by-step explanation:

Each one of the problems revolves around vertical angles. Verticle angles are equal to each other.

1.)

5x = 3x + 60

2x = 60 (Subtracted 3x on both sides.)

x = 30 (Divided 2 on both sides.)

Know that we know the variable's value, time to find the angles.

5(30) = 3(30) + 60

150 = 150

This means the angles are 150°.

2.)

3x - 40 = x + 20

2x - 40 = 20

2x = 60

x = 30

3(30) - 40 = (30) + 20

90 - 40 = 50

50 = 50

This means the angles are 50°.

3.)

5x - 78 = 3x + 2

2x - 78 = 2

2x = 80

x = 40

5(40) - 78 = 3(40) + 2

122 = 122

This means the angles are 122°.

The value of x is 30° and the unknown angle is 150°.

We need to find the unknown angles from the given figure.

The vertical angles theorem or vertically opposite angles theorem states that two opposite vertical angles formed when two lines intersect each other are always equal (congruent) to each other.

From figure 1:

(5x)°=(3x+60)°

⇒5x-3x=60

⇒2x=60

⇒x=30

So, (5x)°=(3x+60)°=150°

From figure 2:

(3x-40)°=(x+20)°

⇒3x-x=60

⇒2x=60

⇒x=30

So, (3x-40)°=(x+20)°=50°

From figure 3:

(3x+2)°=(5x-78)°

⇒5x-3x=78+2

⇒2x=80

⇒x=40

So, (3x+2)°=(5x-78)°=122°

Therefore, the value of x is 30° and the unknown angle is 150°.

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Answer:

The diameter of the circle = 10 cm

The radius of the circle= 10/2= 5 cm

Area of the circle = pi r^2

= pi 5^2

=3.14 *25

= 78.5 cm ^2

Answer:

-2(-5)^2+7

-2(25)+7

-50+7

-43

Answer:

I can't see it.

Step-by-step explanation:

Answer:

n ÷ (2 - 3) ≤ 2

Step-by-step explanation:

Let n be 'the number'

n is divided by 3 less than 2

n ÷ (2 - 3) is at most 2

n ÷ (2 - 3) ≤ 2

I hope this helps :)

Answer:

The answer is 15.

Step-by-step explanation:

d =  sqr. root of (x_2 - x_1)^2 + (y_2-y_1)^2}

= sqr. root of  7- - 2 ^ 2 + 3 - - 9 ^ 2

= sqr. root of 9 ^ 2 + 12 ^ 2

= sqr. root of 81 + 144

= sqr. root of 225

= 15

Answer: X= - or + square root of 10

Step-by-step explanation: both negative or positive roots would multiply to be 10

Answer:

Step-by-step explanation:

[tex]f(x)=-4x+7[/tex]

To find f(1) , substitute the value of x that's 1 into f(x), that is for every x in f (x) replace it with 1

We have

[tex]f(1) = - 4(1) + 7 \\ = - 4 + 7 \\ = 3 \: \: \: \: \: \: \: \: \: \: \: [/tex]

We have the final answer as

[tex]f(1) = 3 [/tex]

Hope this helps you

Answer:

z = -4

Step-by-step explanation:

I'm going to assume you mean solve for z.

5z - 8 = -28

add 8 to both sides.

5z = -28 + 8

5z = -20

divide both sides by 5

z = -4

Answer: The answer would be −4.

First add eight to both sides.

5z−8+8=−28+8

5z=−20

Now divide both sides by five.

5z  divided by five = -20 divided by 5.

z=−4

Answer:

A. x=35

B. C= 59 degrees

Step-by-step explanation:

Since both angles have the same measurement you set them equal to each other as so & solve for x

3x+16=5x-54

16=2x-54

70=2x

x=35

Now we plug 35 into one of the equations

3(35) + 16

105+ 16 = 121 degrees

Since angle C is a supplementary angles you do 180-121= 59 degrees

Answer:

2 and 4/5

Step-by-step explanation:

If you ate 2/5 of a pizza in 1/7 of an hour then you need to multiply 2/5 by 7

Start by converting 7 into a fraction

7 = 7/1

then multiply the top and bottom of the fractions

2 * 7 = 14

5 * 1 = 5

2/5 * 7/1 = 14/5

Convert 14/5 into a mixed number

14/5 = 2 and 4/5

Answer:

4π + 33 or 45.6

Step-by-step explanation:

For this question, you need to identify the perimeter of the semicircle and the 3 sides of the trapezoid.

The perimeter of the semicircle would be (this is the equation for a circle divided by two):

(2πr)/2 or (πd)/2

To figure this out, you don't need to know the radius, because you can just use the diameter, in which case if you plug it in you would get:

(8π)/2

→ 4π

Now you would just add the perimeter of the semicircle to the perimeter of the 3 sides of the trapezoid to get:

4π + (10+13+10)

→ 4π + 33

Now all you'd need to do is round 4π to the tenths place to get:

12.6 + 33

→ 45.6

Answer:

2.5

Step-by-step explanation:

First I added -2 and 4, which is positive 2. Then I added -.4 to .9 which is .5. I hope this helped!

Answer:

m = -1/2

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below =)

Answer: -4

Step-by-step explanation:

Answer:

Avas unit rate is for a mile 16.6666666667 minutes. while Mauras is 15 mins

Step-by-step explanation:

It would take Ava 16.6666666667 to run a mile, while it would take Maura 15 minutes to run a mile.

180°-45°=135°

135=2x-5

135+5=2x

140/2=x

x=70

Answer:

Question 3 is- B. 8 ounces

Step-by-step explanation:

Answer:

x=1/3

Step-by-step explanation:

(18x+3)^2=81

square root both sides

18x+3=9

subtract 3 from both sides

18x=6

divide 18 on both sides

x=1/3

Answer:

what? better explanation

Answer:

Keyunta and Elijah

Step-by-step explanation:

Keyunta: 49.78, Elijah: 50.02

|Keyunta(time)-Elijah(time)| = 50.02-49.78 = 0.24

The two runners had 0.24 seconds between their finish times Kayenta and Elijah.

The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data. It is customary to start with a statistical population or a statistical model to be researched when applying statistics to a scientific, industrial, or social problem.

The given table is:-

Runner        Time (seconds)

Jamarcus    50.51

Kayenta      49.78

Mica            48.44

Elijah           50.02

Checking the difference between the running times.

Jamarcus    50.51

Mica          -  48.44

______________

                    2.07 Seconds

Elijah           50.02

Kayenta    -  49.78

---------------------------

                  0.24 Seconds

Therefore, the two runners had 0.24 seconds between their finish times Kayenta and Elijah.

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Answer:

60%

Step-by-step explanation:

Answer:

C. 60%

Step-by-step explanation:

19, 85, and 182 i am cool YEE YEE BRAINLYEEST PLES

Answer:

x = [tex]\frac{ab}{b+a}[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{a}[/tex] + [tex]\frac{1}{b}[/tex] = [tex]\frac{1}{x}[/tex] ( express the sum on the left as a single fraction )

[tex]\frac{b+a}{ab}[/tex] = [tex]\frac{1}{x}[/tex] ( cross- multiply )

x(b + a) = ab ← divide both sides by (b + a)

x = [tex]\frac{ab}{b+a}[/tex]

Answer:

this question cannot be solved

Answer:

183

Step-by-step explanation:

Sub the values into the expression

-(-3)² - (-3)(8²)

-9 - (-192)

-9 + 192

183

Answer:

it is the furth 4

Step-by-step explanation:

4×4=16

Answer:

the fourth answer

Step-by-step explanation:

and how are u today