All categories

3 years ago

Please answer the file question

Mathematics

1 answer:

EleoNora [17]3 years ago

3 0

Answer:

x = 15

Step-by-step explanation:

Corresponding sides have the same ratio:

UV/PR = TV/QR

(x +6)/14 = (x -3)/8

4(x +6) = 7(x -3) . . . . . . multiply by 56

4x +24 = 7x -21 . . . . . . eliminate parentheses

45 = 3x . . . . . . . . . . . add 21-4x

15 = x . . . . . . . . . . . .divide by 3

_____

Alternate solution

The long-side : short-side ratios for the two triangles are ...

14 : 8 = (x +6) : (x -3)

If we look at the differences between the ratio numbers we see ...

14 -8 = 6

(x +6) -(x -3) = 9

That is, the numbers in the second ratio must be 9/6 = 3/2 times the numbers in the first ratio. In other words, ...

x -3 = (3/2)(8) = 12

x = 15

Check: x +6 = 3/2(14) ; 15 +6 = 21

You might be interested in

10n - 16 = 2(5n-8)] 15n + 25

Margaret [11]

The answer is 1.48226407 hope it helps

5 0

3 years ago

Read 2 more answers

If f(x)=x2 and g(x)=|x| find the following functions. 1. f+g 2. f-g 3. fg

marusya05 [52]

Answer:

1. x^2 + (absolute value) X

2. x^2 - (absolute value) X

3. x^2 * (absolute value) X

Step-by-step explanation:

Add equations for 1.

Subtract equations for 2.

Multiply equations for 3.

5 0

3 years ago

Brendan and Marie are each assigned a paper for a class they share. Brendan decides to write 41 pages at a time while Marie deci

hram777 [196]

Answer:

18+18=38, since they did the same number that's the least it could be

7 0

3 years ago

2x-1/4(12x+4)=3 2x-1/4 (12x+4)=3

eduard

2x-1/4(12x+4)=3
⇒ 2x -1/4*(12x) -1/4*4= 3 (distributive property)
⇒ 2x -3x -1= 3
⇒ -x= 3+1
⇒ -x= 4
⇒ x= -4

Final answer: x=-4~

3 0

3 years ago

What is the sum 13,094 259,728?

fgiga [73]

Thank you for posting your question here at brainly. I will assume that the equation is that 13,094 + 259,728. Below is the solution:

13,094 + 259,728 = 272,822

Sum is the total amount resulting from the addition of two or more numbers, amounts, or items.

6 0

4 years ago