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AnnyKZ [126]
3 years ago
7

Are rectangles ABCD and WXYZ congruent? Why or why not?

Mathematics
2 answers:
ser-zykov [4K]3 years ago
6 0

Answer:

D.

Step-by-step explanation:

ABCD area =12

WXYZ area=24

Blizzard [7]3 years ago
4 0

Answer:

D

Step-by-step explanation:

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If the perpendicular bisector of one side of a triangle goes through the opposite vertex, then is the triangle isosceles?
Ne4ueva [31]

Answer:

True

Step-by-step explanation:

The perpendicular bisector of the opposite side to the vertex bisects the angle at the vertex into two equal parts and also bisects the triangle into two equal parts.

Let A be the angle at the vertex, then assume that the angle is an isosceles triangle with base angles B.

We need to show that A = 180 - 2B for an isoceles triangle

The perpendicular bisector bisects A into two so the new angle in the vertex one half of the bisected triangle is A/2.

Since this half triangle is a right-angled triangle, the third angle in it is 90.

So, A/2 + B +  90 = 180 (Sum of angles in a triangle)

subtracting 90 from both sides, we have

A/2 + B + 90 - 90 = 180 - 90

A/2 + B = 90

subtracting B from both sides, we have

A/2 + B = 90

A/2 = 90 - B

multiplying through by 2, we have

A = 2(90 - B)

A = 180 - 2B

Since A = 180 - 2B, then our triangle is an isosceles triangle.

7 0
3 years ago
Factorise
Rufina [12.5K]

Answer:

6x - 9

3(2x−3)

2a(5b+3)

Step-by-step explanation:

Factor 6a+10ab

10ab+6a

Factor 6x−9

6x−9

=3(2x−3)

                             :))

8 0
2 years ago
Read 2 more answers
What is the measure of DA? 15 90 105 165
seraphim [82]

Answer:

D. 165

Step-by-step explanation:

if A+n=180

75+90+n=180

165+n=180

n=180-165

n=15

A+n=180

A+15=180

A=180-15

A=165 (D)

3 0
2 years ago
Jack is selling wristbands and headbands to earn money for camp. He earns $2 for each wristband and $3 for each headband. He wan
djverab [1.8K]
Let
 x = wristbands
 y = headbands
 We then have the following inequations:
 2x + 3y> = 50
 x> = 5
 The graph that represents the solution for this system of inequations is shown in the attached image.
 The set of solutions is the shaded region.

8 0
3 years ago
X=7^y how can you rewrite this equation in y = form ?
Anuta_ua [19.1K]

Answer:

y = lnx / ln 7.

Step-by-step explanation:

x = 7^y

Take logarithms of both sides:

ln x = ln 7^y

ln x = y ln 7     ( because ln a^b = b ln a.   One of the Laws of Logarithms).

y = lnx / ln 7.

6 0
3 years ago
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