Theorem: The segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length.A two column proof of the theorem is shown but the statement and reasons are not in correct order.

Answers

Answer 1

Answer: Reasons:
I) Segment DE is half the length of segment AC. By substitution

II) Segment DE is parallel to segment AC. Slopes of parallel lines are equal.

III) The coordinates of point D are (4, 5) and coordinates of point E are (5, 3) By the midpoint form

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A bicycle training wheel has a radius of 3 inches. The bicycle wheel has a radius of 10 inches. Approximately how much smaller, in square inches, is the areaof the training wheel than the area of the regular wheel?Use 3.14 for 흅
Brandon bought snacks for his team's practice. He bought a bag of popcorn for $2.11 and a 6-pack of juice bottles. The total cost before tax was $11.41. Write and solve an equation which can be used to determine x, how much each bottle of juice costs?
Which best describes the range of the function f(x) = 2(3)x?y > 0 y ≥ 0 y > 2 y ≥ 2
HELPPPP PLEASE I'M BEGGING HERE GUYS Solve for x: 3x + 5 = 20

Susan drove at an average speed of 30 miles per hour for the first 30 miles of a trip and then at an average speed of 60 miles per hour for the remaining 30 miles of the trip. if she made no stops during the trip, what was susan's average speed, in miles per hour, for the entire trip?

Answers

The average speed is given by:
average speed=(total distance)/(total time)
total time for the first 30 miles was:
time=distance/speed
=30/30
=1 hr
total time for the remaining 30 miles
=30/60
=0.5
hence the average speed will be:
speed=(30+30)/(1+0.5)=60/1.5=40 miles per hour

A home mortgage is usually borrowed for how long?A. 5–10 years
B. 10–15 years
C. 15–25 years
D. 20–30 years

Answers

A home mortgage is usually borrowed for how long? The answer is D 20-30 years. A traditional home mortgage is borrowed for 30 years. In some cases this can be shorter or longer but the typical mortgage is between 20-30 years.

The homemortgage is usually borrowed for 20-30 years.

We can calculate Mortgage payments as;

Mortgage payment = Principal amount + Interest paid

This means the mortgage on a short-term loan will be higher because the principal much higher and the interest paid is less in amount and vice versa

Therefore, the traditional home mortgage is borrowed for 30 years.

In some cases, it can be shorter or longer but the typical mortgage is ;between 20-30 years.

Learn more about mortgages here;

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A circular piece of metal has a radius of 3.5 meters. The metal sells for $3.25 per square meter.

What is the total cost of the circular piece of metal?

A.
$11.38

B.
$38.47

C.
$71.44

D.
$125.01

Answers

Use the formula for finding the area of a circle, then multiply it by each square meter.

A = π r²
A = π (3.5)²
A = 12.25π
A = 38.485

C = 3.25(38.485)
C = 125.01

Answer = $125.01

Area of circle = πr²

Radius, r = 3.5m,

Area = πr² = π*3.5*3.5 = 12.25π m²

Area ≈ 12.25 *3.141 ≈ 38.477 m²

Since the metal sells for $3.25 per square meter.

Total cost for 38.477 m² = 38.477 * 3.25 = 125.05

Answer is = $125.05

The answer is not really there, but let's say we can manage option D which is $125.01.

Frank needs to fill juice cups for his little sister's birthday party. There are 35 juice cups and each juice cup holds 12 fluid ounces. The juice comes in 1-gallon bottles. How many 1-gallon bottles of juice will Frank need to purchase?(1 quart = 32 fluid ounces, 1 gallon = 4 quarts)
A: 1 Bottle
B: 2 Bottles
C: 3 Bottles
D: 4 Bottles

Answers

128 oz. in one gallon. 35 cups of 12 oz. equals 420 oz. 420 divided by 128 equals 3.28 so youll need 4 bottles. D.

Y = {x | x Element of Set N and 16 < x < 25} ?

Answers

Hello !

We know that x is greater than 16 and less than 25.

So $x =$ { $17 ; 18 ; 19 ; 20 ; 21 ; 22 ; 23 ; 24$ }

$x=\{17,18,19,20,21,22,23,24\}$

A tree casts a shadow 10 ft long. A boy standing next to the tree casts a shadow 2.5 ft long. The triangle shown for the tree and its shadow is similar to the triangle shown for the boy and his shadow. If the boy is 5 ft tall, how tall is the tree?

Answers

The tree will be 10ft tall if u multiply than divide