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FinnZ [79.3K]
3 years ago
7

Beverly drew the line AB shown below. She then constructed line DC which is the perpendicular bisector of AB.

Mathematics
1 answer:
earnstyle [38]3 years ago
5 0

Answer:

D

Line segments are congruent due to the side-angle-side congruence postulate.

Step-by-step explanation:

DC is the perpendicular bisector of line AB, this mean that DC divides AB at 90 degrees into two equal parts at point E. Hence:

AE = BE

Also DE ≅ DE (reflexive property of congruence)

Also ∠AED = ∠BED = 90° (perpendicular bisector)

We can therefore say that triangle AED and triangle BED are congruent according to the side-angle-side congruence theorem. Therefore line AD = line BD

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How can you find the product of a number and power of 10 without using paper and pencil or a calculator?
Tcecarenko [31]
Use mental calculation. Do working in your head
7 0
4 years ago
A triangle has a perimeter of 39 feet. If the three sides of the triangle are n, 4n-2, and 5n-9, what is the length of each side
lyudmila [28]

Answer:

The sides are 5,18,16

Step-by-step explanation:

To find the perimeter of a triangle, we add up all the sides

n +4n-2 + 5n-9 = 39

Combine like terms

10n -11 = 39

Add 11 to each side

10n-11+11 = 39+11

10n = 50

Divide by 10

10n/10 =50/10

n = 5

Now we need to find each side

n = 5

4n-2 = 4(5)-2 = 20-2 =18

5n-9 = 5(5) - =25-9 = 16

The sides are 5,18,16

5 0
4 years ago
Read 2 more answers
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White raven [17]

Answer:

10

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8 0
3 years ago
The longer base of an isosceles trapezoid joins points (-3, -2) and (7, -2). One endpoint of the shorter base is (-1, 4). What a
Alex

Answer:

(5,4)

Step-by-step explanation:

We have that the longer base of an isosceles trapezoid joins points (-3, -2) and (7, -2), and one endpoint of the shorter base is (-1, 4).

The best way to find the coordinates of the other endpoint is to draw or sketch the figure on a coordinate grid.

From the graph in the attachment the coordinates of the other endpoints is (5,4).

4 0
3 years ago
Find the area of the following triangle:
alexira [117]

Answer:

A = 15 cm^2

Step-by-step explanation:

The area of a triangle is found by

A = 1/2 bh

A = 1/2 (10) * 3

A = 15 cm^2

8 0
4 years ago
Read 2 more answers
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