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spayn [35]
3 years ago
9

A carpenter cuts the corners of a rectangle to make the trapezoid shown. What is the value of x? Please help I need to pass loll

ll

Mathematics
1 answer:
DiKsa [7]3 years ago
3 0

Answer:

x = 11

Step-by-step explanation:

The missing diagram is shown in the attachment.

A trapezoid is a quadrilateral with just one pair of parallel sides.

The pair of sides that are parallel are the bases.

The pair of angles formed on the same side of the base add up to 180°.

This implies that:

9x \degree + (7x + 4) \degree = 180 \degree

9x + 7x = 180 - 4

16x = 176

x =  \frac{176}{16}

\therefore \: x = 11

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Vera_Pavlovna [14]

Answer:

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5 0
2 years ago
The ages of three children in a family can be expressed as consecutive integers. The square of the age of the youngest child is
tensa zangetsu [6.8K]

Answer: 10, 11, & 12

<u>Step-by-step explanation:</u>

Let x represent the age of the youngest child.  

Their ages are consecutive so,

Youngest: x

Middle: x + 1

Oldest: x + 2

The age of the Youngest squared (x²) equals 8 times the Oldest [8(x + 2)] plus 4.

x² = 8(x + 2) + 4

x² = 8x + 16 + 4

x² = 8x + 20

x² - 8x - 20 = 0

(x - 10)(x + 2) = 0

x - 10 = 0     or      x + 2 = 0

  x = 10       or          x = -2

Since age cannot be negative, x = -2 is not valid

So, the Youngest (x) is 10

the Middle (x + 1) is 11

and the Oldest (x + 2) is 12

4 0
3 years ago
10-2(2x+1)=4(x-2)solve each equation for x graph your Solution on a number line ​
stepladder [879]

Answer:

No solution

Step-by-step explanation:

Actually, you have only one equation here.  We will solve it for x.

Performing the indicated multiplication, we obtain:

10-2(2x+1)=4(x-2)  =>  10 - 4x - 2 = 4x - 8, or 10 - 2 = -8.  This can never be true, so this equation has no solution.

6 0
3 years ago
Read 2 more answers
2)
Elenna [48]

Parallel lines are in the same plane, never intersect, and have the same slope.

7 0
3 years ago
Solve n=m+9 for m<br><br> what does m equal
alexandr1967 [171]

Answer:

m=-9+n

Step-by-step explanation:

you want to get m by itself so you subtract 9 on both sides. 9-9 crosses out and you get m by itself. Which leads you to m= -9+n

8 0
2 years ago
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