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2 years ago

What is x and what converse is used to find x

Mathematics

1 answer:

mrs_skeptik [129]2 years ago

8 0

Answer:

Step-by-step explanation:

the third angle of the inner triangle is defined by using the rule that the sum of all angles in a triangle must be 180 degrees. let's call this angle a

180 = 48 + 16x + a

132 - 16x = a

and then we know that both angles, 28x and a together must also be 180, as they are complementing each other to cover the whole top of the base line.

so,

28x + 132 - 16x = 180

12x = 48

x = 4

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The formula for finding the perimeter of a rectangle is P = 2L + 2W. If a rectangle has a perimeter of 68 inches and the length

Artemon [7]

Answer:

Width = 10 inches

Step-by-step explanation:

Given the perimeter of a rectangle of 68 inches, and a length that is 14 inches longer than its width.

We can establish the following values to help us solve for the width of a rectangle:

Perimeter (P) = 68 inches

Length (L) = 14 + W inches

Width (W) = unknown

<h3 /><h3><u>Solve for the Width (W)</u></h3>

P = 2(L + W) ⇒ This is the same as P = 2L + 2W, except that 2 is factored out from the right-hand side.

Divide both sides by 2:

$\displaystyle\mathsf{\frac{P}{2}\:=\:\frac{2(L\:+\:W)}{2}}$

$\displaystyle\mathsf{\frac{P}{2}\:=L\:+\:W}$

Substitute the value of the Perimeter and the length (L) into the formula:

$\displaystyle\mathsf{\frac{68}{2}\:=14\:+W\:+\:W}$

Combine like terms on the right-hand side, and simplify the left-hand side of the equation:

$\displaystyle\mathsf{34\:=14\:+2W}$

Subtract 14 from both sides:

34 - 14 = 14 - 14 + 2W

20 = 2W

Divide both sides by 2 to solve for the width (W):

$\displaystyle\mathsf{\frac{20}{2}\:=\:\frac{2W}{2}}$

W = 10 inches

Therefore, the width of the rectangle is 10 inches.

<h3 /><h3><u>Double-check:</u></h3>

Verify whether the derived value for the width is correct:

P = 2L + 2W

68 = 2(14 + 10) + 2(10)

68 = 2(34) + 20

68 = 48 + 20

68 = 68 (True statement).

Thus, the length of the rectangle is 34 inches, and the width is 10 inches.

4 0

2 years ago

50 POINTS FOR THIS 1 QUESTION I JUST NEED THE ANSWER

Oksana_A [137]

Answer:

a = 3

b = 2

c = 0

d = -4

Step-by-step explanation:

Form 4 equations and solve simultaneously

28 = a(2)³ + b(2)² + c(2) + d

28 = 8a + 4b + 2c + d (1)

-5 = -a + b - c + d (2)

220 = 64a + 16b + 4c + d (3)

-20 = -8a + 4b - 2c + d (4)

(1) + (4)

28 = 8a + 4b + 2c + d

-20 = -8a + 4b - 2c + d

8 = 8b + 2d

d = 4 - 4b

Equation (2)

c = -a + b + d + 5

c = -a + b + 4 - 4b+ 5

c = -a - 3b + 9

28 = 8a + 4b + 2c + d (1)

28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b

28 = 6a - 6b + 22

6a - 6b = 6

a - b = 1

a = b + 1

220 = 64a + 16b + 4c + d (3)

220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b

220 = 60b + 100

60b = 120

b = 2

a = 2 + 1

a = 3

c = -3 - 3(2) + 9

c = 0

d = 4 - 4(2)

d = -4

5 0

2 years ago

Read 2 more answers

What is the slope of a line that passes through -8, -16 and 18, 5?

ddd [48]

Slope formula:

y2 - y1
_____
x2 - x1

5 + 16
_____
18 + 8

21
__
26

slope is 21/26

8 0

3 years ago

Explain whether the following statement is a valid definition: “A 150° angle is an obtuse angle.” Use the converse, biconditiona

WINSTONCH [101]

<span>Conditional Statement: "If an angle is 150 degrees, then it is an obtuse angle." Converse: "If an angle is obtuse, then it is 150 degrees."</span>

Hope I Helped You!!! :-)

Have A Good Day!!!

5 0

2 years ago

Read 2 more answers

125 A football stadium holds 55,296 people. The seating is divided into

stiks02 [169]

Answer:

1536

Step-by-step explanation:

simply divide 55296 by 36

4 0

3 years ago