Equation A: y = -9x + 14

Equation B: y = x - 6

What is the solution (
,
) to the given set of equations?

Answer:

224 feet^3

Step-by-step explanation:

Cube -> Volume = 4×7×7 = 196 feet^3

Prism -> Volume = 2×7×2 = 28 feet^3

196+28=224

Answer:

No, similar triangles cannot contain a pair of parallel lines. Yes, because || . Yes, because ∠QUR ≅ ∠TUS (vertical angles) and ∠R ≅ ∠S (alternate interior angles).

Step-by-step explanation:

Yes, because ∠QUR ≅ ∠TUS (vertical angles) and ∠R ≅ ∠S (alternate interior angles).

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.

Both triangles are similar as,

∠QUR ≅ ∠TUS (vertical angles)

∠R ≅ ∠S (alternate interior angles).

So, By AA similarity criteria triangles are similar.

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Answer:

in 136 miles=7 gallons

?=42 gallon

= 136=7

?=42

cross multiply

136×42=5,712

=5,712÷7=816

Answer:

816 miles

Step-by-step explanation:

136miles/7 g =19.43

19.43 x 42 ≅ 816.06

or

136/7 = X/42

solve for X

42/7 =6, then 136 x6= 816

x = 816 miles

Answer:12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

117°

same side interior angles theorem

Answer:

the answer would be 15x+ 1

Step-by-step explanation:

Answer:

1 + 15x

Step-by-step explanation:

-7+13+2x+8   separate the terms

-7+8 = 1

13x + 2x = 15x  put them together

1+15x

Answer:

91 km per hour

Step-by-step explanation:

45 miles per hour is the same as 72 kilometers per hour (metric), so pick any value greater than 72 km per hour.

Answer:

4 different odd integers:  25, 45, 55, 85

Step-by-step explanation:

Answer:

Option (C)

Step-by-step explanation:

Given inequalities are,

81 > x and x > 68

Therefore, 81 > x > 68 is the inequality representing the solution area for x.

Out of x = 88, 85 and 80,

x = 80 will lie between the range of x = 68 and x = 81.

Therefore, Option (C) will be the correct option.

Answer:

160 cans for 5 pounds of aluminum

Step-by-step explanation:

Answer:

No it is unable to form a triangle.

Step-by-step explanation:

It cannot be because one side is two times the other side, and there are two of the "other sides". It cannot form a triangle.

Answer:

Step-by-step explanation:

Two triangles that are congruent using SAS.

SAS = Side Angle Side

The two triangles in option B are congruent by SAS.

Option B is the correct answer

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Two triangles that are congruent using SAS.

SAS = Side Angle Side

Now,

The two triangles in option B are congruent by SAS.

There are two sides that are equal in each triangle.

There is one angle that is equal in each triangle.

Thus,

The two triangles in option B are congruent by SAS.

Option B is the correct answer

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Answer:

C. Get it by itself

Step-by-step explanation:

When solving for a variable, whether it be an inequality, a factor, or an algebraic expression. Getting the specified variable by itself is the most effective and best way to get that answer to your question. The other two answers here do not make any sense whatsoever.

Answer:

-6xy-18x

Step-by-step explanation:

To solve -2x(3y+9), multiply -2x by 3y and 9.

Solve

Answer:

-24 i think

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

the radius is half of the diameter

hope this helped :)

Answer:

B = 68

Step-by-step explanation:

(6-2)×180 = 720

69+108+135+204+b+2b=720

516+3b=720

3b=720-516

3b=204

b= 68

Answer:

-11/12

Step-by-step explanation:

slope for points (x1,y1) and (x2,y2)

slope=(y2-y1)/(x2-x1)

(x,y)

(-12,15)

(0,4)

x1=-12

y1=15

x2=0

y2=4

slope=(4-15)/(0-(-12))=-11/(0+12)=-11/12

Answer:

Slope: -11/12x

Step-by-step explanation:

Slope-intercept equation:

y = mx + b

(m = slope)

The formula for slope is below.

m = [tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

With your two points, you can accurately determine your slope.

(-12, 15) (0,4)

x1 = -12

y1 = 15

x2 = 0

y2 = 4

Apply this information in the slope formula to get:

[tex]\frac{4 - 15}{0 - -12}[/tex]

Change the 0 - -12 to 0 + 12

[tex]\frac{4 - 15}{0 + 12}[/tex]

4 - 15 = -11

0 + 12 = 12

Place -11 and 12 into a fraction.

[tex]\frac{-11}{12}[/tex] OR -11/12

Add "x" to the end from "mx" within the slope-intercept equation

-11/12x

Answer: Your answer should be least to greatest I believe

Answer:

A cold water tap takes 3 minutes to fill the bath. A hot water tap takes 2 minutes to fill the bath. How long does it take to fill the bath when both taps are open at the same time?

It is easiest just to let the bath be a given size.

My little bath will be 12 litres

cold water  4L/min          hot water = 6L/min      

together 10L/1 min

10*(12/10) L per  1*(12/10) minutes

12L per 1.2min

12L per 1min and 12sec

It will take 1 minute and 12 seconds to fill the bath.

Step-by-step explanation:

Answer:

It will take 5 minutes for both faucets together to fill the water cooler

Step-by-step explanation:

I'm kinda just guessing but I do have a reasonable explanation

So the average time it takes for the faucets INDIVIDUALLY to fill the water cooler is 10 minutes

But since both faucets are filling them TOGETHER, it should take half the time

And half of 10 is 5

So it should take 5 minutes for both faucets together to fill the water cooler

If that makes sense

Answer:

11 / 20

Step-by-step explanation:

16 / 20 - 1×5 / 4×5

16 / 20 - 5 / 20

16 - 5 / 20

= 11 / 20

Answer:

27

Step-by-step explanation:

first we can simplify by dividing by r

[tex] \frac{9 {r}^{2} }{r} = \frac{9 \times r \times r}{r} = 9 \times r \times 1 = 9r[/tex]

the r on the bottom of the fraction will cancel out one of the r's on top, this happens because anything divided by itself is 1, thus r divided by r is 1

finally we can evaluate when r =3,

9r = 9(3) = 27

Answer:

$77,886

Step-by-step explanation:

We solve this question by proportions, using a rule of three.

The table states that:

$201.6 in 2006 is worth $232.957 in 2013.

We want to find:

The value of $90,000 in 2013 in 2006:

$201.6 - $232.957

x - $90000

Applying cross multiplication

[tex]232957x = 201.6*90000[/tex]

[tex]x = \frac{201.6*90000}{232957}[/tex]

[tex]x = 77886[/tex]

$77,886 is the answer

Answer:

19/6

Step-by-step explanation:

5 3/6 - 2 1/3 = 19/6

Answer:

C = 1.

Step-by-step explanation:

A: 4/5 x 3/3 (1) = 4/5, Incase you didn't know, 3/3 means 1 whole because it is full. We can tell by just looking that this doesn't represent a value greater than 4/5, In fact, it's equal to 4/5.

B: 4/5 x 1/2 = 2/5 <--- By not using any calculator or math, we already know that 4/5 is greater than 2/5 and that 2/5 is less than 4/5. This is not the correct answer because it's less than 4/5.

C: 4/5 x 5/4 = 1. This could be a correct answer choice because one is greater than 4/5. If your confused, think of it like this, 5/5 is equal to one and then there's 4/5. Then you compare and contrast and see that 5/5 is greater than 4/5 so this is a correct answer choice.

D: 4/5 x 4/5 is equal to 16/25. In my opinion, I wouldn't choose this answer choice because though the numbers are bigger than 4/5, 4/5 IS equal to 16/25, so it wouldn't really be a correct answer choice.

Hope this helped!

Answer:

65°

Step-by-step explanation:

[tex] m\angle DGF = 90\degree - 25\degree [/tex]

[tex] m\angle DGF = 65\degree [/tex]

Answer:

65

Step-by-step explanation:

Angle AGF = 90 (given)

Angle AGC = 25 (given)

Angle BGD = 25 (Vertically Opposite Angles are equal)

Angle DGF = 180-(90+25) (angles in a straight line is equal to 180)

=180-115

=65

Hope it helped!

Thanks!

Answer:

the sencond and the last one

Answer:

125 • 125

Step-by-step explanation:

5⁶ = 5 × 5 × 5 × 5 × 5 × 5 = 15,625

125 • 125 = 15,625

They give the same result so both expressions are equivalent to each other.

Answer:

3.5/p

Step-by-step explanation:

7/2 = 3.5

Answer:

[tex]\frac{7}{2}[/tex]-p is the equation

Step-by-step explanation:

Answer:

6.6

Step-by-step explanation: