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3 years ago

Triangle TUV and the triangle LMN are similar what is the measure of side LM

Mathematics

2 answers:

Delvig [45]3 years ago

6 0

Answer:

28 cm

Step-by-step explanation:

We can write a similarity statement to help us:

TUV ~ LMN

TU corresponds to LM; this gives us the ratio

8/x

TV corresponds to LN; this gives us the ratio

6/21

Together, they give us the proportion

8/x = 6/21

Cross multiplying, we have

8(21) = x(6)

168 = 6x

Divide both sides by 6:

168/6 = 6x/6

28 = x

grin007 [14]3 years ago

5 0

The answer should be 28

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Annette [7]

Answer:

x = 72

Step-by-step explanation:

To solve for 'x', isolate it. This means to keep 'x' on one side of the equal sign, while moving the other numbers to the other side. The numbers on the other side will tell you what 'x' equals to.

When 'moving' a number to the other side, you cancel it out where it originally is by doing reverse operations. (Reverse operation pairs are addition/subtraction and division/multiplication). To keep an equation balanced, what you do to one side you have to do to the other.

$\frac{3}{8}x-17=10$ Keep 'x' on the left and move everything over.

$\frac{3}{8}x-17+17=10+17$ Add 17 to both sides. "-17" cancels out on the left.

$\frac{3}{8}x=27$ Simplified right side

$\frac{3}{8}x/\frac{3}{8}=27/\frac{3}{8}$ Because 3/8 originally multiplies with 'x', do the reverse: divide both sides by 3/8.

$x=27/\frac{3}{8}$ To divide a fraction, change to multiplication and flip the fraction's top and bottom numbers.

$x=27*\frac{8}{3}$ Combine the factors into one fraction.

$x=\frac{27*8}{3}$ Multiply 27 by 8 in the numerator.

$x=\frac{216}{3}$ Simplify the fraction by dividing top by bottom.

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5 0

3 years ago

A skateboard travels 55 feet in 4 seconds. Is the skateboard going faster, slower, or the same speed as the scooter?

Assoli18 [71]

Answer:

Slower.

Step-by-step explanation:

I belive it is slower because the scooter was 30 feet per 2 seconds. 30+30+60 feet, 2+2= 4 seconds= 60 feet and 4 seconds which makes the 55 feet per 4 seconds slower.

4 0

3 years ago

Find the missing value when given the modulus. |48+bi|=50

xxMikexx [17]

Answer:

missing value b is 14

Step-by-step explanation:

We have been given the modulus of a complex number which is

$r=\sqrt{a^2+b^2}$