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3 years ago

Find the value of x that makes ABCD a parallelogram.

Mathematics

1 answer:

harkovskaia [24]3 years ago

8 0

Answer:

x = 10

Step-by-step explanation:

A parallelogram's angles should all add up to 360 degrees. 130+130 is equal to 260 degrees. 360-260 is equal to 100. Because we need to find the individual angles of Angle A and Angle C, we will divide 100 by two. That leaves us with 50 degrees for Angle A and Angle C EACH. We know Angle C is equal to 5x. So, we would divide 50 by 5, which leaves us with 10 degrees. Therefore, x = 10.

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A truck that is 12 ft. by 10 ft. by 15 ft. carries cube

kvasek [131]

Answer: 284 boxes in the shape of the cubes can be fitted in the truck.

Step-by-step explanation:

If a truck is fitted fully with the cubes, volume of the truck will be equal to the volume of cubes to be fitted.

Dimensions of the truck given in the question,

Length = 10 feet, width = 12 feet and height = 8 feet

Since, volume of a cuboid (shape of a truck) is given by the expression,

Volume = Length × Width × Height

Therefore, volume of the truck = 10 × 12 × 8

= 960 feet³

Volume of a cube is given by the expression,

Volume = (side)³

Therefore, volume of the cube with side length 1.5 feet will be,

Volume of a cube = (1.5)³

= 3.375 cubic feet

Let the number of cubes fitted in the truck = x

Therefore, volume of 'x' cubes = (3.375x) feet³

Since, volume of the truck = Volume of the cubes fitted

3.375x = 960

x = 960/3.375

x = 284.44

x ≈ 284

Therefore, 284 boxes in the shape of the cubes can be fitted in the truck.

5 0

2 years ago

Read 2 more answers

We played 15 games. We have two times as many losses as wins. How many wins do we have?

Hunter-Best [27]

I'd say the answer is 5 wins
hope this helps

8 0

3 years ago

PLEASE HELP!!!!!

zhuklara [117]

Answer: The probability of picking 7 and then picking a number greater than 7 is $\frac{1}{3}$ or 0.3

Step-by-step explanation: Probability

Probability shows us the chances of an event occurring.

Now, given that we have already picked three cards. therefore, 7, 8, and 9.

The number of possible outcomes is 3.

the probability of card 7,

Now, as card seven is already picked up cards 8 and 9 are the only card left.

therefore, the sample size(possible outcomes) was reduced to 2 only.

Also, cards 8 and 9 both are greater than 7, thus the desired outcome is also 2.

Further the probability of the number greater than 7 occurring,

Probability picking a number greater than 7

The probability of picking a 7 and then picking a number greater than 7

= Probability of card 7 occurring x probability of card 8 and 9 occurring.

You're welcome. Pls give me brainiest

4 0

2 years ago

Pheobe Andy and polly share £270 pheobe gets three times the amount of Andy who gets twice as much as polly

Vladimir79 [104]

Hey!!

here is your answer >>>

the total money is 270 , it is shared among three people .

let's take the amount of Polly as X

then, the amount of Andy would be 2x

then, the amount of Phoebe would be 6x

the sum of 6x,2x and x is 270!.

let's add them up,

9x = 270

x = 30!.

Polly = £30

Andy= £60

Phoebe = £180

Hope my answer helps!

6 0

3 years ago

Tiffany ran 6/7 mile on Saturday and only 1/2 as far on Sunday. How far did she run on Sunday? Select all correct responses belo

4vir4ik [10]

Answer:

3/7

Step-by-step explanation:

6/7 ÷ 2 = 6/14 as simplified as 3/7 in fraction form.

Hope I helped!! :)

Sorry if it's wrong! :(

Pls mark brainlist!!!

8 0

3 years ago