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Sholpan [36]
2 years ago
7

Image below i will give brainliest

Mathematics
1 answer:
Pavel [41]2 years ago
7 0

Answer:

60 degrees

Step-by-step explanation:

First of all, we have to set up an equation to solve this. The angles of a triangle add up to 180 degrees. We need to find the internal angle of C, which would be 180-(10x-45).

For our equation, we can set 3x+4x+[180-(10x-45)] equal to 180.

Add like terms:

7x+[180-(10x-45)] = 180

Distribute:

7x+180-10x+45 = 180

Add like terms once again:

-3x+225 = 180

Subtract 225 on both sides:

-3x = -45

Divide by -3 on both sides:

x = 15

Plug in 15 for x in the value 4x:

<B = 60 degrees

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true.

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4 years ago
a rectangle is 8cm longer then it is wide, and it’s area is 153cm^2. Find the dimensions of the rectangle.
Stolb23 [73]

Answer:

Width of 9cm and length of 17cm.

Step-by-step explanation:

To calculate an area of a rectangle, use the formula A=l*w. We know the length is 8cm longer than the width. So l = 8 + w. So the area is A= (8+w)*w.

We also know the area is 153. Substitute this value for A and solve.

153 = (8+w)(w)\\153 = 8w+w^2\\w^2+8w-153 = 0

To solve the quadratic, use the quadratic formula:

\frac{-b+/-\sqrt{b^2-4ac} }{2a}

Here a=1, b=8 and c=-153.

w=\frac{-b+/-\sqrt{b^2-4ac} }{2a} \\w=\frac{-8+/-\sqrt{8^2-4(1)(-153)} }{2(1)} \\w=\frac{-8+/-\sqrt{64+612} }{2} \\w=\frac{-8+/-\sqrt{676} }{2} \\w=\frac{-8+/-26 }{2} \\w=\frac{-8+26 }{2}=\frac{18}{2}=9 \\and\\w=\frac{-8-26 }{2} =\frac{-34}{2}=-17

Since w=9 or w=-17, substitute this value for w in l= 8+w to find l.

l = 8+9 = 17

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l=8+-17 = -9

Since length cannot be positive, it must be l=17 and w=9.

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Which of the following demonstrates the distributive property?
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c one demonstrates the distributive property

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