What’s the answer and give an explanation.

Mathematics

2 answers:

tino4ka555 [31]3 years ago

4 0

Answer:

14 = x and 2.5 = y

Step-by-step explanation:

For ABCD - the top is 8 and the sides are 11. 11 minus 8 is 3. 11 plus 3 equals 14, that’s x.

For GHIJ - the bottom is 8 and both sides are 5.5. So 8 minus 5.5 is 2.5. That’s y.

Furkat [3]3 years ago

4 0

Q10/ scale factor of polygon ABCD to polygon GHIJ = 11/5.5 = 2

Q11/ scale factor of polygon GHIJ to polygon ABCD = 1:2

Q12/ x = 8 × 2 = 16

y = 8 / 2 = 4

Q13/ ABCD ⇒ label x as 16, y as 4

GHIJ ⇒ label HI line to 5.5

Q14/ ratio = 46 : 23

= 2 : 1

hope this helps....

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What is the ratio of x to y?

abruzzese [7]

$\frac{3}{2} = \frac{2x}{2x+y}$

From any proportion, we get another proportion by inverting the extremes (or the means):

$\frac{2x+y}{2} = \frac{2x}{3}$ = k

so we have:

2x=3k
2x+y=2k therefore:
3k+y=2k
y= - k

x= $\frac{3}{2} k$

$\frac{x}{y}$ = - $\frac{3}{2}$

The corect answer is A. -3/2

or:

$\frac{3}{2} = \frac{2x}{2x+y}$

From any proportion, we get another proportion by inverting the extremes and the means:

$\frac{2x+y}{2x} = \frac{2}{3}$

We use a property of proportions:

$\frac{a}{b} = \frac{c}{d}$ where a, d are extremes and b,c are means and the product of the extremes equals the product of the means (a*d=b*c),

so we have

$\frac{a-b}{b} = \frac{c-d}{d}$ or

$\frac{a+b}{b} = \frac{c+d}{d}$ (you can check this also by "the product of the extremes equals the product of the means")

$\frac{2x+y}{2x} = \frac{2}{3}$

$\frac{(2x+y)-2x}{2x} = \frac{2-3}{3}$

$\frac{y}{2x} = \frac{-1}{3}$

3y = - 2x

$\frac{x}{y} = -\frac{3}{2}$

4 0

3 years ago

Given Q is between J and K, JQ is five times the length of JK and JK=42 find the length of JQ

Alex73 [517]

Answer:

210

Step-by-step explanation:

JQ is 5 times the length of JK

● JQ = 5JK

JK = 42

● JQ = 5 × 42

● JQ = 210