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Ket [755]
3 years ago
13

Given the following diagram, find the missing measure. m<1=30, m<2=45, m<3=

Mathematics
1 answer:
Mice21 [21]3 years ago
4 0
I believer it is m3= 105
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A rectangle is 5 cm wider than twice its length. If the perimeter of the rectangle is 70 cm, then what is the area?
kifflom [539]

Step-by-step explanation:

The dimensions of the rectangle are two unknowns: The length "l" and the width "w"

The perimeter of a rectangle is found as P = 2*l + 2*w

We also know that the length is 5cm more than twice the width. l = 2*w + 5

These two equations gives us a system of linear equations.

P = 2*l + 2*w

l = 2*w + 5

We can use substitution to replace the "l" in the first equation with 2*w + 5

P = 2*(2*w + 5) + 2*w

P = 4*w + 10 + 2*w

P = 6*w + 10

we know the perimeter is 70

70 = 6* w + 10

subtract 10 from both sides

60 = 6* w

w = 10

Now that we know the width, we can find the length by substituting 10 for "w" in the second equation.

l = 2* 10 + 5

l = 20 +5

l = 25

the dimentions of the rectangle are 25cm x 10 cm

6 0
3 years ago
Read 2 more answers
What is the area of the rectangle with the given dimensions? *
exis [7]

Given:

The dimensions of a rectangle are 2x-5 and 3x+3.

To find:

The expression that represents the area of the rectangle in simplest terms.

Solution:

Area of a rectangle is:

Area=Length\times Width

The dimensions of a rectangle are 2x-5 and 3x+3. So, the area of the given rectangle is:

Area=(2x-5)\times (3x+3)

Area=2x(3x)+2x(3)-5(3x)-5(3)

Area=6x^2+6x-15x-15

Area=6x^2-9x-15

Therefore, the correct option is F, i.e., 6x^2-9x-15.

4 0
3 years ago
Find the area of the triangle.
nalin [4]
I believe it is 8x.

Use the formula A=1/2(b*h)

A=1/2(4x(5x-1))
A=1/2(20x-4x)
A=1/2(16x)
A=8x
4 0
3 years ago
Select all equations where r=3 is a solution
belka [17]

Answer:

the first equation

Step-by-step explanation:

5 0
3 years ago
Evaluate
lora16 [44]

Answer:

8

Step-by-step explanation:

the top part with the variables filled in is 0 + (2x4) + (3x4x2) which is 32

the bottom part would be (3x0) + 4 which is 4

7 0
3 years ago
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