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2 years ago

In the figure, BE||CD. Solve for x. Show your work.

Mathematics

1 answer:

marin [14]2 years ago

3 0

Answer:

Answer is x = 15

Answer is given below with explanations.

Step-by-step explanation:

$in \: the \: figure \: BE || CD \\ by \: thales \: theorem \\ \frac{AE}{ED} = \frac{AB}{BC} \\ on \: substituting \: the \: values \: from \: the \: figure \\ \frac{9}{6} = \frac{x}{10} \\ \frac{3}{2} = \frac{x}{10} \\ x = \frac{3 \times 10}{2} \\ x = \frac{30}{2} \\ x =15 \\$

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3. Evaluate the expression 4(52-3-2x)² where x = 5. O-1296 O1296 O 576 O-576

boyakko [2]

The value of the expression 4(5² - 3 - 2x)² is 576.

In the question, we are asked to evaluate the expression 4(5² - 3 - 2x)², where x = 5.

To find the value of the expression, we find the value of each term with the value assigned to the variable and then put back the terms in the expression to get the final value.

The term 5² = 25.

The term 2x, when x = 5, can be shown as 2x = 2*5 = 10.

Taking the terms back to the expression, we get:

4(5² - 3 - 2x)²

= 4(25 - 3 - 10)²

= 4(12)²

= 4(144)

= 576.

Thus, the value of the expression 4(5² - 3 - 2x)² is 576.

Learn more about solving expressions at

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3 0

1 year ago

I’m so confused help please

lozanna [386]

Answer:

B. 0

Step-by-step explanation:

If you subtract the right side expression and simplify, you get ...

4/5(20x +5) -(16x -2) = 0

16x +4 -16x +2 = 0

6 = 0 . . . . . . . . . . . . false

There is no value of x that will make this true. There are no solutions.

5 0

2 years ago

Solve by substitution or elimination; x+2y=-1 x-y=5

Strike441 [17]

I would love to use substitution (It is simplier that way I guess)

solve your system of equations.

x+2y=−1;x−y=5

Solve x+2y=−1 for x:

x+2y+−2y=−1+−2y(Add -2y to both sides)

x=−2y−1

Substitute (−2y−1) for x in x−y=5:

x−y=5

−2y−1−y=5

−3y−1=5(Simplify both sides of the equation)

−3y−1+1=5+1(Add 1 to both sides)

−3y=6

−3y/−3 = 6/−3(Divide both sides by -3)

y=−2

Substitute (−2) for y in x=−2y−1:

x=−2y−1

x=(−2)(−2)−1

x=3(Simplify both sides of the equation)

So the answer is (x = 3 and y = -2)

7 0

2 years ago

Read 2 more answers

Garth buys 24 kilograms of candy. He then repacks the candy into small bags of 34 kilogram each. How many bags does he pack? A.

LenaWriter [7]

Corrected Question

Garth buys 24 kilograms of candy. He then repacks the candy into small bags of 3/4 kilogram each. How many bags does he pack?

Answer:

C. 32 bags

Step-by-step explanation:

Total Weight of Bag bought =24 kilograms

Since Garth wants to repack the candy into small bags of 3/4 kg, we simply divide 24 by 3/4 to obtain the number of small bags.

$24 \div \dfrac{3}{4}= 24 X \dfrac{4}{3}\\=32$

There will be 32 small bags of 3/4 kg.

The correct option is C.

6 0

3 years ago

Donnel practiced the piano 3 hours longer than Marcus. Together they practiced the piano for 11 hours. How many hours did each b

andriy [413]

Here is the equation: $x+(x+3)=11$ ⇒ $x+x+3=11$

You need to get "x" by itself so minus 3 from each side

$x+x+3-3=11-3$ ⇒ $x+x=8$ ⇒ $2x=8$

Divide 8 by 2

$8$ ÷ $2=4$

x=4

So each 4 is equivalent to 4

Lets check:

$4+(4+3)=11$ ⇒ $4+4+3=11$ ⇒ $11=11$

So that means that Marcus practiced the piano for 4 hours and Donnel practiced for 7

4 0

2 years ago