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zubka84 [21]
3 years ago
10

the perimeter of a rectangle is 132 m. the length is 2 meters more than 3 times the width. find the dimensions of the rectangle

Mathematics
1 answer:
Anon25 [30]3 years ago
7 0
2l + 2w = 132
l = 3w + 2

2(3w+2)+2w=132
6w + 4 + 2w = 132
8w + 4 = 132
8w = 128
w = 16

l = 3(16) + 2
l = 48 + 2
l = 50

2(50) + 2(16) __ 132
100 + 32 = 132
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I need help with math
Bogdan [553]

A. ∠4 is congruent to ∠5; True.

B. Two lines are parallel; True.

C. The measure of ∠6 = 90.5°; False.

D. ∠2 and ∠3; True.

<h3>What are the properties of angles of parallel lines?</h3>
  • On a common plane, two parallel lines do not intersect.
  • As a result, the characteristics of parallel lines with respect to transversals are given below.
  1. Angles that correspond are equal.
  2. Vertical angles are equal to vertically opposite angles.
  3. Interior angles that alternate are equal.
  4. The exterior angles that alternate are equal.

For the give question;

Two line are cut by the transversal.

∠1 =  90.5° and ∠7  =  89.5°

Thus the result for the given statement are-

A. ∠4 is congruent to ∠5 because they are alternate interior angles; True.

B. Two lines are parallel; True.

C. The measure of ∠6 = 90.5°; False.

∠6 = ∠7 =  89.5°.(correct)

D. ∠2 and ∠3 are supplementary because they are same-side exterior Angeles; True.

Thus, the result for the given statement are found.

To know more about the parallel lines, here

brainly.com/question/4954460

#SPJ1

3 0
1 year ago
Volume of a cube is 343cm³ . Then the total surface area of the cube is _______ cm². *
MissTica

Answer:

A≈294cm²

-hope this helped

8 0
2 years ago
Read 2 more answers
Express the interval shown on the number line in inequality notation.
Bess [88]

Answer: x < -3 or x > 5

Step-by-step explanation: Interval notation shows the values of x. X is less than -3, or greater than 5.

6 0
3 years ago
There are 24 students in a class. if 16 are boys, what fraction of the students are boys?
pshichka [43]

Answer:

2/3 is the fraction of students who are boys.

Step-by-step explanation:

First of all, a fraction consists of two parts: The denominator and the numerator. The denominator is the whole, while the number is a part of the whole (and sometimes above).

1. Since in your question, there are 24 students in total in the class, the denominator will be 24.

2. You said that 16 of them are boys, so 16 is the numerator.

3. In a fraction, it will be 16/24.

4. 16/24 can be simplified into 2/3 since both 16 and 24 can be divided by 8.

So our final answer is 2/3.

3 0
1 year ago
2x - 11 = -8x + 14<br> Simplify
Sauron [17]

Answer:

x = 2.5

Step-by-step explanation:

2x - 11 = -8x + 14

Add 8x to both sides

10x - 11 = 14

Add 11 to both sides

10x = 25

Divide both sides by 10

x = 2.5

7 0
3 years ago
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