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Ket [755]
2 years ago
13

What is the value of x? Enter your answer in the box. x =

Mathematics
2 answers:
ki77a [65]2 years ago
6 0

Answer:

x = 98

Step-by-step explanation:

This shape has 7 sides. Using the formula n - 2 we can get the number of triangles. n represents the number of sides.

n - 2 = 5

All triangles have 180 degrees, so multiply 180 by the number of triangles (5).

180 × 5 = 900

The total number of degrees in this shape is 900. Adding the other angle measures and then subtracting them from 900 gives us x.

146 + 122 + 142 + 140 + 110 + 142 = 802

900 - 802 = 98.

x = 98

kogti [31]2 years ago
4 0

Answer:

x = 98 degrees

Step-by-step explanation:

A heptagon has a total of 900 degrees for the interior angles. Add up all the angles and then subtract from 900 to find x.

146+122+142+140+110+142 = 802.

900-802 = 98

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If the length of a rectangle is a two-digit number with identical digits and the width is 1/10 the length and the perimeter is 2
Oksanka [162]

If the length of a rectangle is a two-digit number with identical digits and the width is 1/10 the length and the perimeter is 2 times the area of the rectangle, what is the the length and the width

Solution:

Let the length of rectangle=x

Width of rectangle=x/10

Perimeter is 2(Length+Width)

= 2(x+x/10)

Area of Rectangle= Length* Width=x*x/10

As, Perimeter=2(Area)

So,2(x+x/10)=2(x*x/10)

Multiplying the equation with 10, we get,

2(10x+x)=2x²

Adding Like terms, 10x+x=11x

2(11x)=2x^2

22x=2x²

2x²-22x=0

2x(x-11)=0

By Zero Product property, either x=0

or, x-11=0

or, x=11

So, Width=x/10=11/10=1.1

Checking:

So, Perimeter=2(Length +Width)=2(11+1.1)=2*(12.1)=24.2

Area=Length*Width=11*1.1=12.1

Hence, Perimeter= 2 Area

As,24.2=2*12.1=24.2

So, Perimeter=2 Area

So, Answer:Length of Rectangle=11 units

Width of Rectangle=1.1 units

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3 years ago
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Answer:

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sergey [27]
There are no like terms
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