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3 years ago

What is the value of x?

Mathematics

1 answer:

kenny6666 [7]3 years ago

6 0

Answer:

x = 28

Step-by-step explanation:

Triangle ABP and triangle CDR are similar. Thus, we can solve this problem for x using an equation of proportions:

hypotenuse leg length

15+42 10+x

---------------- = ----------

42 x

Then (15+42)x = 42(10+x) after cross multiplication

57x = 420 + 42x

Subtracting 42x from both sides, we get

15x = 420.

Dividing both sides by 15 results in

x = 28

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Simplify 8 over the quantity of 2 plus 2i.

dexar [7]

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3 years ago

How do you subtract an integer from another integer without using a number line or counters? Give an example.

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An integer is all whole numbers and zero, are the numbers you are talking about negatives?

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3 years ago

2. The length of XZ is 28 units. If XY = 2x + 2 and YZ = 9x – 7, what are the lengths of XY and

Novosadov [1.4K]

Answer:

XY = 8 and YZ = 20

Step-by-step explanation:

If XY and YZ are on the one line, we can write

XY + YZ = 28

(2x+2) + (9x - 7) = 28

2x+2 + 9x - 7 = 28

11x - 5 = 28

11x = 33

x = 3

XY = 2x+2 = 2*3 + 2 = 8

YZ = 9x - 7 = 9*3 - 7 = 27 - 7 = 20

8 0

2 years ago

What is the awnser to this question

Alborosie

Answer is A and C because they equal to 3(10-c)

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3 years ago

When making a fruit salad, a chef chooses 7 fruits from 10 that are in season. how many different fruit salads can the chef crea

Furkat [3]

For this example, we must combine not permutate; this because a salad in which you first use apple then tomato is the same as the one in which you use first tomato then apple, so order does not matter.

Me must do "10 combine 7" which is written by the binomial coefficient $(_{7} ^{10})$ ; in general a binomial coefficient is written by:
$(_{k} ^{n})= \frac{n!}{k!(n-k)!}$

In which $n$ and $k$ are positive integers, such that $n\ \textgreater \ k$ .

So, for this problem:
$(_{7} ^{10})= \frac{10!}{7!(10-7)!}=\frac{10!}{7!3!}= \frac{10*9*8}{3*2}=10*3*4=120$

Hence, there are 120 different ways to make the fruit salad.

5 0

2 years ago