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3 years ago

I need the value of x

Mathematics

2 answers:

Phoenix [80]3 years ago

7 0

Answer:

40°

Step-by-step explanation:

$m\angle VRM +m\angle MRP=m\angle VRP\\\\x + 37\degree = 77\degree \\\\x = 77\degree - 37\degree \\\\x = 40\degree$

Katarina [22]3 years ago

4 0

Answer:

Step-by-step explanation:

If we know the whole angle is 77, we can set up an equation stating that x+37=77. Simplify, and x = 40.

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3 years ago

Mary wants to hang a mirror in her room. The mirror and frame must have an area of 7 square feet. The mirror is 2 feet wide and

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Answer:

The quadratic equation used to determine the thickness of frame is $\left(3+2x\right)\times \left(2+2x\right)=7$

Step-by-step explanation:

Refer to the attachment for the diagram.

Consider EFGH as the the frame and ABCD as the mirror which is to be hanged.

Let me the "x" be the thickness of the frame as shown in diagram.

Given that, BC = 3 ft and DC = 2 ft which is the dimensions of the mirror.

Now to calculate the length and width of the frame consider following calculation,

Width of frame HG = x + DC + x

Width of frame HG = x + 2 + x

Width of frame HG = 2 + 2x

2x is the addition of the thickness which is present on both side of mirror

Length of frame FG = x + BC + x

Length of frame FG = x + 3 + x

Length of frame FG = 3 + 2x

Since it is an rectangular frame, so using the formula for area of rectangle

$Area\:of\:rectangle = length \times width$

Given that area of frame is $7\:ft^{2}$

Substituting the value,

$7 = \left(3+2x\right)\times \left(2+2x\right)$

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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