Brian, Chris, and Damien took a math test that had 20 questions. The number of questions Brian got right is 14 more than the number of questions Chris got right. Damien correctly answered 2 less than the number of questions Chris answered correctly. If Brian and Damien have the same score, which statement is true?

Answer:

2. x=25°

3. x=15°

4. x=26°

Step-by-step explanation:

For problem 2, we know the sum of the angles of a triangle is 180°. Also, supplementary angles are 180°.

30+20+x=180                  [combine like terms]

50+x=180                         [subtract both sides by 50]

x=130

Now that we have the missing angle, we can use that to solve for x.

2x+130=180                     [subtract both sides by 130]

2x=50                               [divide both sides by 2]

x=25°

Now, we know that x=25°.

For problem 3, we know the sum of the angles of a triangle is 180°. This means, we add all the angles together and get 180°.

8x+25+2x+5=180            [combine like terms]

10x+30=180                     [subtract both sides by 30]

10x=150                            [divide both sides by 10]

x=15°

Now, we know that x=15°.

For problem 4, we know the sum of the angles of a triangle is 180°. This means, we add all the angles together and get 180°.

x+12+52+90=180             [combine like terms]

x+154=180                        [subtract both sides by 154]

x=26°

Now, we know that x=26°.

Answer:

3. x = 5        4. x = 26

Step-by-step explanation:

3.

(2x + 5)  + 8x + 25 = 180

10x +30 = 180

10x = 150

x = 15

4.

52 + 90 + x+12 = 180

52 + 90 + 12 = 142

x + 142 = 180

x = 180 - 154

x = 26

Answer:

f^-1 (x) =7 − 21x

Step-by-step explanation:

Hope this helps!

Plz give brainliest

Answer:

the cost of gas i think

Step-by-step explanation:

i dont really know

Answer:

I think it is, B( The length of the route

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The formula of the area of a triangle is 1/2 times base times height

1/2 .4.2 equals 4

Answer:

y=1x-4

Step-by-step explanation:

Point Slope Formula: y=m(x-x1)+y

y=1(x-5)+1

1x-5+1

y=1x-4 (y=mx+b)

Answer:

B

Step-by-step explanation:

plug in 5

5^2-5(4)+7=12

===========================================

Work Shown:

A.

f(x) = 3x-8

f(5) = 3*5-8 ... replace every x with 5; simplify with PEMDAS

f(5) = 15-8

f(5) = 7

We can cross choice A off the list since we got 7 as an output, instead of 12.

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

B.

f(x) = x^2-4x+7

f(5) = (5)^2-4(5)+7

f(5) = 25-4(5)+7

f(5) = 25-20+7

f(5) = 5+7

f(5) = 12

We got the output we wanted. So we can stop here.

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

If you're curious about the others, then,

C.

f(x) = -x+14

f(5) = -5+14

f(5) = 9

That doesn't work, so we cross choice C off the list.

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

D.

f(x) = |x-7|

f(5) = |5-7|

f(5) = |-2|

f(5) = 2

Choice D is crossed out as well.

So only choice B works.

Answer:

Step-by-step explanation:

-1/3

Answer:

4.5

Step-by-step explanation:

Answer:

Pretty sure its 525.74

7.2

Hi there !

10.7 + (-3.5) =

= 10.7 - 3.5

= 7.2

Good luck !

Answer:

t+5+x

Step-by-step explanation:

It says Jenny ran 5 more miles than last week so you find the number from last week then add 5. X is the miles she ran this week

Answer:

t + 5

Step-by-step explanation:

In this problem, you have to recognize what the information is telling you in terms of the vocabulary used. For example, the first sentence tells us that she ran 5 more miles than last week. This is key because it lets us know that our expression will have an addition sign.

Once you recognize that the problem is telling you to add 5 to her previous distance, you get a final expression of t + 5. Hope this helps!

the distance between 0 and −9

the absolute value of negative 9

the opposite of 9

the absolute value of 9

Answer:

The equation of the line is y = 2x - 3

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

Let us take two points on the line to find its equation

∵ Points (3, 3) and (0, -3) lie on the line

∴ x1 = 3 and y1 = 3

∴ x2 = 0 and y2 = -3

→ Use the rule of the slope above to find m

∵ [tex]m=\frac{-3-3}{0-3}=\frac{-6}{-3}=2[/tex]

∴ m = 2

→ Substitute its value in the form of the equation above

∴ y = 2x + b

∵ b is the value of y at x = 0

∵ y = -3 at x = 0

∴ b = -3

→ Substitute it in the equation above

∴ y = 2x + -3

→ Remember (+)(-) = (-)

∴ y = 2x - 3

∴ The equation of the line is y = 2x - 3

Answer:

We can assume X is the number of girl, so the number of boy should be X+6.

Based on question, we can get X+X+6=32

2X+6=32

2X=26

X=13

So the answer is, 13 girls are in the class.

Step-by-step explanation:

Answer:

1.) y= 6x+5

2.) y= -1/3x+1

Step-by-step explanation:

Slope Intercept Form is y=mx+b,

where slope is m

the y-intercept is b

So I just plugged in the slope and y-int to get the equation

Answer:

15 feet

Step-by-step explanation:

Answer:

15 feet

Step-by-step explanation:

Step-by-step explanation:

Simplifying mixed numbers

Following are the steps to simplify mixed fractions: Find the highest common factor (HCF) of numerator and denominator of the fraction part. Divide both the numerator and the denominator by HCF. The whole number part will remain the same.

Answer:

8^1/3= 2

:-))))

Answer:

C) The resulting figure will be congruent to the original rectangle, because dilations with a scale factor of 1 have the same coordinates.

Step-by-step explanation: Multiplying any number by 1 will result in the same number, this applies to coordinates as well.  

Answer:

The answer of the following questions is y=3x-19

Answer:

$1.92 a gallon!!

Step-by-step explanation:

Answer:

You will pay $1.92 per gallon.

Step-by-step explanation:

Divide 25.00 by 13 to by how much money per gallon:

[tex]25.00/13=1.923[/tex]

You cannot round up.

You will pay $1.92 per gallon.

-Hope this helps! :)

Answer:

b

Step-by-step explanation:

used a calucator

Answer: m = 4

Step-by-step explanation: 2x4+5=13, 2x4=8 and 8+5=13.

Answer:

x = 1/3 or .333

Step-by-step explanation:

Answer:

v=5

Step-by-step explanation:

Answer:

No because the aren’t equalll

Step-by-step explanation:

Is this ggod

Answer:

No

Step-by-step explanation:

32/4 = 8

72/10 = 7.2