a
b
75°
115°
e
75°
Which lines are parallel? Justify your answer.
Lines a and b are parallel because their alternate
exterior angles are congruent.
Lines a and b are parallel because their same side
exterior angles are supplementary.
O Lines e and fare parallel because their alternate
exterior angles are congruent.
O Lines e and fare parallel because their same side
exterior angles are congruent.

Answer:

Lesser x is -13.

Greater x is 1.

Step-by-step explanation:

We have the function:

[tex]f(x)=(x+6)^2-49[/tex]

And we want to find the zeros of the function.

So, set f(x) to 0 and solve for x:

[tex](x+6)^2-49=0[/tex]

Add 49 to both sides:

[tex](x+6)^2=49[/tex]

Take the square root of both sides. Since we're taking an even root, we will need plus/minus:

[tex]x+6=\pm 7[/tex]

Subtract 6 from both sides:

[tex]x=\pm7-6[/tex]

Evaluate for each case:

Case 1; 7 is positive:

[tex]x=7-6=1[/tex]

Case 2; 7 is negative:

[tex]x=-7-6=-13[/tex]

So, our zeros are:

[tex]\{x|-13, 1\}[/tex]

Our lesser x is -13, and our greater x is 1.

And we're done!

Answer:

121.25 feet

Step-by-step explanation:

Answer:

121.25 feet because 272.5-151.25=121.25

Answer: 17000

Step-by-step explanation: Multiply the mass value by 1000

Answer:

6 to 8 percent

Step-by-step explanation:

Answer:

170 tickets were sold in advance

Step-by-step explanation:

Let x represent the = number of tickets sold at the door.

Let y represent the = number of tickets sold in advance

Tickets to a school play cost $2 if bought in advance and $3 at the door. By selling all 400 tickets, $1,030 was

collected.

Hence, we have two equations

x + y = 400 tickets

$3 × x + $2 × y = $1,030

x + y = 400.... Equation 1

x = 400 - y

3x + 2y = 1030........ Equation 2

Substitute 400 - y for x in Equation 2

3(400 - y) + 2y = 1030

1200 - 3y + 2y = 1030

Collect like terms

-y = 1030 -1200

-y = -170

y = 170

Since y represent the number of tickets sold in advance, therefore, 170 tickets were sold in advance.

You can set up a system of equations for this problem. Let x = number of coach tickets and y = number of first class tickets. Then:

330x + 1220y = 12730 (cost of coach tickets plus cost of first class tickets is total budget)

x + y = 17 (number of coach tickets plus number of first class tickets is total number of people)

Solve the second equation for y to get y = 17 - x, then plug that into the first equation and solve for x:

330x + 1220(17 - x) = 12730

330x + 20740 - 1220x = 12730

-890x + 20740 = 12730

-890x = -8010

x = 9

Sarah bought x = 9 coach tickets. Plug that into the second equation and solve for y:

9 + y = 17

y = 8

Sarah bought y = 8 first class tickets.

Answer:

9n−14x−44

Step-by-step explanation:

Answer:

[tex]\huge\boxed{y=-16}[/tex]

Step-by-step explanation:

We have to note that this represents a proportional relationship. This means that every time x increases by 1, y will increase by a proportional value.

In order to solve for proportions, we can create a proportion fraction which basically puts two variables over each other. Let's put x over y.

[tex]\frac{x}{y}[/tex]

We know that in the first fraction, x=6 and y=24.

[tex]\frac{6}{24}[/tex]

And we know that x=-4 but we have an unknown y value.

[tex]\frac{-4}{y}[/tex]

We can now set these proportions equal to each other and solve for the missing y using cross products.

Hope this helped!

Answer:

65%

Step-by-step explanation:

26/40 x 100= 65%

hope this helps!

Answer:

Step-by-step explanation:

See attached for answer options

As per the table, the points are:

This is linear function and the formula is:

So the function is

The correct answer options attached

Answer:

Tn = -6 + (n - 1)(-4)

Step-by-step explanation:

The explicit formula is this: Tn = a + (n - 1)*(d), where 'a' is the first term and 'd' is the common difference.

The first term is given to you and that is -6.

The common difference is -4 because:

d = -10 - (-6)

d = -10 + 6

d = -4

Hence: Tn = -6 + (n - 1)(-4)

Answer:

he will pay 55.16

Answer:

(876 + 46) ÷ 2 = 461 boys

Answer:

876/2

=438

=438+46

=484 boys are there in a school.

Answer:

the answer is 7 hope this helps

Answer:7

Step-by-step explanation:

Answer: 5.7 slices

Step-by-step explanation:

7x=40. x represents number of slices per day, 7 is because you eat pizza every day and there's 7 days in a week.

Divide both sides by 7:

7x/7 = 40/7

x= 5.7

Answer:

D. y = 76x

Step-by-step explanation:

First you find the gradient, by using the gradient formula

rise over run

380 - 228

---------------- <- division sign

   5 - 3

152/2 = 76

Hence y = 76x + c

Find c by subbing points in. I am going to use this as an example (5, 380)

380 = 76(5) + c

380 -380 = c

c = 0

Hence,  y = 76x

Step-by-step explanation:

that's a part to part ratio

Answer:

i pooped myself

Step-by-step explanation:

please help

Answer:

Step-by-step explanation:

given that the function to predict the price is

y = 5.92x + 119.21

x= the number of year,

given that we are predicting from 1995-2015

the difference is 20years

So put x=20 in the expression we have

y = 5.92(20) + 119.21

y=118.4+119.21

y=237.61

the median price is $237.61

Answer:

Is the question 3n+12 = n +14?

Step-by-step explanation:

If so the ANSWER  is  n=1

3n+12=n+14

3n-12=n+14

3n=n+2

-n   -n

2n=2

n=1

Answer:

Im pretty sure its 50

Step-by-step explanation:

A line is 180° so you add

65 + 65 = 130

Then subtract 180

180 - 130 = 50

Hope that helps

Answer:

50

Step-by-step explanation:

The total degrees is 180 so

use the equation 65+65+x=180

simplify

130+x=180

minus 130 on both sides

x=50

Answer:

Choice B) B \sqrt{29} 29 ​ square root of, 29, end square root = √29

Step-by-step explanation:

When given coordinates, the distance between those points(coordinates) is calculated as:

Distance = √(x2 - x1)² +(y2 - y1)²

Given(x1, y1), (x2, y2)

Fromm the question, we are given points(4,7) and (2,2)

Distance = √(x2 - x1)² +(y2 - y1)²

= √(2 - 4)² + (2 - 7)²

= √-2² + -5²

= √4 + 25

= √29

Therefore, Choice B is the answer = √29

Answer:

Because of the y intercept, you would first plot a point at (0,2). This means that you would put the point when x does not from the origin (middle of the lines) and 2 points up from it. After, for every 2 points going to the right, you go only 1 up on y. This is because the slope is 1/2. I recommend you watch Khan Academy.

Step-by-step explanation:

Answer:

x = -7

Step-by-step explanation:

Solve for x:

2 x + 3 = x - 4

Hint: | Move terms with x to the left-hand side.

Subtract x from both sides:

(2 x - x) + 3 = (x - x) - 4

Hint: | Combine like terms in 2 x - x.

2 x - x = x:

x + 3 = (x - x) - 4

Hint: | Look for the difference of two identical terms.

x - x = 0:

x + 3 = -4

Hint: | Isolate terms with x to the left hand side.

Subtract 3 from both sides:

x + (3 - 3) = -3 - 4

Hint: | Look for the difference of two identical terms.

3 - 3 = 0:

x = -3 - 4

Hint: | Evaluate -3 - 4.

-3 - 4 = -7:

Answer: x = -7