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3 years ago

10

In a trapezoid with bases of lengths a and b, a line parallel to the bases is drawn through the intersection point of the diagon

als. Find the length of the segment that is cut from that line by the legs of the trapezoid.

1 answer:

mote1985 [20]3 years ago

3 0

if we name that part x, then we can say

1/x = 1/a + 1/b

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There are 3 red chips and 2 blue chips. If they form a certain color pattern when arranged in a row, for example RBRRB, how many

svp [43]

Answer:

Option A - 10

Step-by-step explanation:

Given : There are 3 red chips and 2 blue chips. If they form a certain color pattern when arranged in a row, for example RBRRB.

To find : How many color patterns are possible?

Solution :

Total number of chips = 5

So, 5 chips can be arranged in 5! ways.

There are 3 red chips and 2 blue chips.

So, choosing 3 red chips in 3! ways

and choosing 2 blue chips in 2! ways.

As changing the places of similar chip will not create new pattern.

The total pattern is given by,

$T=\frac{5!}{3!\times 2!}$

$T=\frac{5\times 4\times 3!}{3!\times 2}$

$T=10$

Therefore, color patterns are possible are 10.

Option A is correct.

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3 years ago

In the following activity, match each pair of equivalent expressions.

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Answer:

1. -8+3x

2. 51x-2+4x2 (squared)

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4. 6x+2

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Step-by-step explanation:

I don't think I really understand the question but I tried to simplify the equations

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2 years ago

Davia draws a shape with 5 sides . two sides are each 5 inches long. two other sides are each 4 inches long. the perimeter of th

soldier1979 [14.2K]

The fifth side is 9 inches

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3 years ago

Jobi is taking his children on a long drive. Jobi is making snack bags to take on the drive using 40 granola bars and 32 apples.

Karolina [17]

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3 years ago

Write the ratio as a fraction in simplest form.

vitfil [10]

Answer:

Part 1) $\frac{5}{2}$ or $5:2$

Part 2) $\frac{8}{1}$ or $8:1$

Step-by-step explanation:

Write the ratio as a fraction in simplest form

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we know that

To find out the ratio, divide the number of girls by the number of boys

so

$\frac{15}{6}$

Simplify

Divide by 3 both numerator and denominator

$\frac{5}{2}\ \frac{girls}{boys}$

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we know that

To find out the ratio, divide the number of plays by the number of teams

so

$\frac{24}{3}$

Simplify

Divide by 3 both numerator and denominator

$\frac{8}{1}\ \frac{plays}{team}$

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3 years ago