Together, siblings Brandon, Brooke, Trent, and Trisha owe their parents $100. Write a number sentence to show how much each sibling owes if they share the debt equally. (Be sure to use negative numbers where appropriate.)

transversal angles

Step-by-step explanation:

When two or more lines are cut by a transversal, the angles which occupy the same relative position are called corresponding angles . When the lines are parallel, the corresponding angles are congruent .

Answer:

74

Step-by-step explanation:

[tex]x^2 - 3y + 5x + 2 \\ \\ = {7}^{2} - 3(4) + 5(7) + 2 \\ \\ = 49 - 12 + 35 + 2 \\ \\ = 74[/tex]

Answer:

220 mph ; 230 mph

Step-by-step explanation:

Given that :

Speed of First boat = x

Speed of Second boat = y

y = (10 + x) mph

Distance apart after 3 hours = 150 miles

Speed of the boats :

Speed / time = distance

First boat distance = x / 3

Second boat distance = (10+x) /3

x/3 + (10+x)/3 = 150

x + 10 + x = 150 * 3

2x + 10 = 450

2x = 450 - 10

2x = 440

x = 220 mph

Speed of second boat = 220 + 10 = 230 mph

Answer:

20 diamonds

Step-by-step explanation:

It is given that,

Length of the sash when it is completed = 8 feet

Joseph wants to add a diamond shape every 0.4 feet along the sash.

We need to find no of diamonds the sash have when it is completed. It can be calculated by dividing total length by 0.4 feet. As a result,

n = 8/0.4

n = 20

Hence, 20 diamonds the sash will have when it is completed

Answer:

8 units

Step-by-step explanation:

The two squares have equal areas.

For each square:

area = 32 units^2

For a square:

area = side^2

side^2 = 32

side = sqrt(32)

For the two squares, the length of the side is sqrt(32).

The sides of the squares are the legs of the right triangle.

a^2 + b^2 = c^2

(sqrt(32))^2 + (sqrt(32))^2 = x^2

32 + 32 = x^2

x^2 = 64

x = 8

Answer: 8 units

Answer

8 units

Explanation

The side of one of the squares is the same length as one of the legs on the triangle.

To find one side of the square, you need to find the square root, because to find the area of a square, you need to square the sides. To find one side, you do the opposite.

So the length of one side is the square root of 32.

Now don't worry that this is a weird number (which is 5.656854249...) because we'll be squaring it again.

The length of one side of the square is the leg of a right triangle.

To find the hypotenuse (or the longest side), you need to use the Pythagorean theorem.

[tex]l^{2} + l^{2} = h^{2}[/tex]

The square root of 32 squared is 32.

[tex]32+32=h^{2}[/tex]

[tex]64=h^{2}[/tex]

To find h, you need to find the square root. The square root of 64 is 8.

Therefore, the length of x is 8 units.

Answer:

-5

Step-by-step explanation:

a= -4 than 2 times-4. than be 8.and 4 square is -16. So it be 3+8-16 = -5

Answer:

27

Step-by-step explanation:

[tex]3-2a+a^2\\[/tex]

If a = -4 then just replace a with -4

[tex]3-2(-4)+(-4)^2\\3+8+16\\27[/tex]

Answer:

3 2/3

Step-by-step explanation:

In addition, the denominator has to be the same and it doesn't change when 2 fractions are added together, unless ur trying to simplify the equation, anyways:

2 2/9 +1 4/9

3 6/9

simplify

3 2/3

Answer:

56x³+87x²+51x+27

Step-by-step explanation:

You have to do box method. Draw a box that 3 by 2 cubes long. On the side that is 3 cubes long. Write 7x² on top of the first cube, 3x on top of the second cube, and 3 on top of the third cube. On the side that is two cubes long, write 8x next to the first cube and 9 next to the second cube.

Answer:

0.5

Step-by-step explanation:

Co-ordinate of the mid point of the segment whose co-ordinates are -6 & 7 is =

[tex] \frac{7 + ( - 6)}{2} = \frac{1}{2} = 0.5[/tex]

Answer: Choice E) Insufficient information to prove congruence.

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

Explanation:

We're given that AB = DC and BE = CE. This means we have two pairs of congruent sides and we could use SAS if we know that angle ABE = angle DCE. However, we don't know this information.

While we do know that angle AEB = angle DEC (vertical angle theorem), this is not enough information. Recall that SSA is not a valid congruence theorem. The angles in question are not between the sides mentioned in the previous paragraph.

Therefore, we don't have enough information to prove the triangles congruent.

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

Side notes:

Answer:

10.50

Step-by-step explanation:

Answer:

10.50

Step-by-step explanation:

multiply 10 by .5 and you get 50cents so add that to 10 and you get 10.50

Answer:

Step-by-step explanation:

Remark

It's a right triangle so you can use a^2 + b^2 = c^2

a = 3

c = 5

3^2 + b^2 = 5^2         Expand

9 + b^2 = 25              Subtract 9 from both sides

b^2 = 25 - 9

b^2 = 16                     Take the square root of both sides.

√b^2 = √16

b = 4

Answer:

He will be able to make 16 pieces of lumber

Step-by-step explanation:

Answer:

i think its 1.6-

Step-by-step explanation: science

Answer:

60%

Step-by-step explanation:

Percentage of money saved by Ovide = [tex]\frac{9}{15} * 100 = \frac{3}{5}*100[/tex]

                                                                = 3 * 20

                                                                = 60%

Answer:

D {36,47,60}

Step-by-step explanation:

it would have to be {37,48,60} for it to be a right triangle

hope this helps you out

Step-by-step explanation:

{43, 12, 8, 3, -14, -25}

Answer:

$100 per deposit

Step-by-step explanation:

Answer:

It is very simple all you have to do is take the first two points and figure how far they are apart from each other. Well from 250 to 150 is 100 so every deposit they put 100 dollars in so the answer is.

$100 dollars deposit

Answer:

Yes

Step-by-step explanation:

I would say yes, x is multiplied by itself to get an answer for y.

Answer:

The relationship between the two is that they are equal.

Step-by-step explanation:

Since y = cosx is a even function, that means that cosx = cos(-x). Therefore, cos 90 degrees = cos -90 degrees.

We can also test this out:

cos 90 = 0

cos -90 = cos 270 = 0

Therefore, this came to the same conclusion as our first solution.

I hope this helps! :)

Answer:

first day: 650, second day: 325

Step-by-step explanation:

Let x be the number of miles travelled on the second day and  2x the number of miles travelled on the first day. They add up to 975.

2x+x=975

3x=975

x=325

x represents the number of miles travelled on the second day so they travelled 650 miles on the first day and 325 miles on the second day.

Answer:

650 miles the first day, 325 miles the second day

Step-by-step explanation:

We can call the distance they traveled on the first day as 2x and the distance they traveled on the second day as x. The former is 2x because they traveled twice as far the first day compared to the second day. Since the total distance traveled is 975 miles, we can write the following equation to solve for x:

[tex]2x + x = 975[/tex]

[tex]3x = 975[/tex] (Simplify LHS; 2x + x = 3x)

[tex]\frac{3x}{3}=\frac{975}{3}[/tex] (Divide both sides of the equation by 3 to get rid of the coefficient on x)

[tex]x = 325[/tex] (Simplify)

Therefore, [tex]2x = 2 * x = 2 * 325 = 650[/tex] so the final answer is they traveled 650 miles the first day and 325 miles the second day. Hope this helps!

Answer: A, $2,100

Step-by-step explanation:

2000x1.05=2,100

Answer: A, B, and D are correct!

Step-by-step explanation:

Hope this helps! :)

The three proportions that are set up correctly for the reduction of a triangle are:

original height / original base = reduction height / reduction base

original height / reduction height = original base / reduction base

original height / reduction base = reduction height / original base

Options 1, 2, and 3 are correct.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

The three proportions that are set up correctly for the reduction of a triangle are:

1)

original height / original base = reduction height / reduction base

This proportion represents that the ratio of the original height to the original base is equal to the ratio of the reduction height to the reduction base.

2)

original height / reduction height = original base / reduction base

This proportion represents that the ratio of the original height to the reduction height is equal to the ratio of the original base to the reduction base.

3)

original height / reduction base = reduction height / original base

This proportion represents that the ratio of the original height to the reduction base is equal to the ratio of the reduction height to the original base.

Thus,

original height / original base = reduction height / reduction base

original height / reduction height = original base / reduction base

original height / reduction base = reduction height / original base

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ3

Answer:

slope = - [tex]\frac{28}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (9, 16) and (x₂, y₂ ) = (14, - 12)

m = [tex]\frac{-12-16}{14-9}[/tex] = [tex]\frac{-28}{5}[/tex] = - [tex]\frac{28}{5}[/tex]

Answer:

hope it helps

Step-by-step explanation: