MATHEMATICS HIGH SCHOOL

Pls give an explanation

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

given a pair of parallel lines , then

3x - 10 and x + 40 are corresponding angles and are congruent ( equal ), then

3x - 10 = x + 40 ( subtract x from both sides )

2x - 10 = 40 ( add 10 to both sides )

2x = 50 ( divide both sides by 2 )

x = 25

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A $3300 principal earns 4% intrest, compounded annually. After 3 years, what is the balance in the account.

Answers

This can be answered using the following formula for interest:

Let:
F = future value
P = principal value
n = interest period (n = 3)
i = interest percentage

F = P(1 + i)^n

Substituting the given values, we arrive at the following:
F = 3300(1 + 0.04)^3
F = 3712.05

Therefore, after 3 years, the balance in the account will be $3712.05

Answer:

It is $3,712.05

A camp ground consists of 12 square campsites arranged in a line along a beach. The distance from the edge of a campsite to the water at the end of the beach is 5 yards. The area of the campground, including the beach, is 1,248 square yards. What is the width of one campsite/

Answers

x=side length of a campsite
12x(5+x)=1248 because each campsite has a length of x and there are 12 and from the top of the camp to the water is the 5 yds + a side length and LW=1248
60x+12x^2=1248
12x^2+60x-1248=0
x^2+5-14=0
(x+7)(x-2)=0
x+7=0 or x-2=0
x=-7 or x=2
x=2 because width can't be negative
the width of one campsite is 2 yds

What is the midpoint of a line segment with the endpoints of (-4, -4) and (6, 14)

Answers

(2,5) hope this helps!

Which calculations could be used to solve this problem? There are 21 children at Corie's party. There are 2 times as many girls as boys at the party.

How many girls are at the party?

Choose all answers that are correct.

A.
Multiply 21 × 2. Divide the product by 3.

B.
Add 21 + 2. Divide the sum by 3.

C.
Divide 21 ÷ 3. Subtract the quotient from 21.

D.
Divide 21 ÷ 3. Multiply the quotient by 2.

Answers

Given:
total of 21 children
2 times as many girls as boys at the party.

Let x be the number of boys.

boy + girls = 21
x + 2x = 21
3x = 21
x = 21/3
x = 7 number of boys

2x = 2(7) = 14 number of girls.

C. Divide 21 ÷ 3. Subtract the quotient from 21.
D. Divide 21 ÷ 3. Multiply the quotient by 2.

Jennifer is 5'10" tall and Pierre is 6'3" tall. Using Pierre as the reference, find the absolute change between Pierre and Jennifer. Express your answer rounded to the nearest inch. __________inches

Answers

Answer:

The absolute change in height between Pierre and Jennifer is 5 inches when rounded to the nearest inch.

Step-by-step explanation:

To find the absolute change in height between Pierre and Jennifer, you can subtract Jennifer's height from Pierre's height:

Pierre's height = 6'3" = 75 inches

Jennifer's height = 5'10" = 70 inches

Absolute change = Pierre's height - Jennifer's height

Absolute change = 75 inches - 70 inches

Absolute change = 5 inches

So, the absolute change in height between Pierre and Jennifer is 5 inches when rounded to the nearest inch.

Bruce has a bottle that contains 60% of lemon juice and the rest water. The bottle has 1 liter of water.Part A: Write an equation in one variable that can be used to find the total number of liters of lemon juice and water in the bottle. Define the variable used in the equation. (5 points)

Answers

Given:
lemon juice = 60% in the bottle
water = 1 liter.

Since lemon juice is 60% and the rest is water. Water is 40% of the bottle.

1 liter of water is equivalent to 40% of the bottle.

1/40% = 2.50 liters amount of total liquid in the water.

2.50 x 60% = 1.5 liters of lemon juice.

0.6x + 0.4x = 2.5

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