All categories

3 years ago

The polygons are similar. Find the value of x and y.

Mathematics

1 answer:

harina [27]3 years ago

3 0

Answer:

x = 9, y = 27

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

$\frac{x-1}{6}$ = $\frac{16}{12}$ ( cross- multiply )

12(x - 1) = 96 ( divide both sides by 12 )

x - 1 = 8 ( add 1 to both sides )

x = 9

Also

$\frac{y+1}{21}$ = $\frac{16}{12}$ ( cross- multiply )

12(y + 1) = 336 ( divide both sides by 12 )

y + 1 = 28 ( subtract 1 from both sides )

y = 27

You might be interested in

Which of the following uses absolute value correctly to show the distance between −20 and 14?

oee [108]

|-20 - 14| = |-34| = 34 units

6 0

3 years ago

Read 2 more answers

PLEASE HELP! The trail around Mirror Lake in Yosemite National park is 5 miles long. What fraction describes how much more of th

Katen [24]

Answer:

Jon - Andrea = 1/10
Callie - Jon = 3/10

Step-by-step explanation:

In terms of tenths, the distances each hiked are ...

Andrea — 4/10
Jon — 5/10
Callie — 8/10

Then the differences of interest are ...

Jon - Andrea = 5/10 -4/10 = 1/10

Callie - Jon = 8/10 - 5/10 = 3/10

Jon hiked 1/10 of the trail more than Andrea.

Callie hiked 3/10 of the trail more than Jon.

6 0

3 years ago

Whats half of 70.00 dollars

Liono4ka [1.6K]

Half of 70.00 dollars

To Find the HALF of something, Divide the number by 2

So 70.00 Dollars/ 2 Dollars

Answer is: 35 Dollars

To Check Answer Multiply the answer by 2

35 Dollars* 2= 70.00 Dollars.

6 0

3 years ago

Read 2 more answers

Exponent Practice:<br> x^2/3=64

docker41 [41]

X^2/3 = 64
$x^{2} =64^{3}$
$x = 64^{3/2}$

it is easier to first find square root of 64 and than power it to 3
square root of 64 is 8 which means our equation now looks like:
x = 8^3
now the answer is after powering 8 to 3:
x = 512

6 0

3 years ago

I really need help with these questions, 5 STARS AND BRAINLIEST FOR WHOEVER HAS THE BEET ANSWER!!

zvonat [6]

1) y=(7/2)x-2.
Slope is the coefficient of x, that is 7/2

Intercept x is the value of x when y = 0 ==> 0=(7/2) X - 2==> 7/2x=2 &x=4/7
so intercept x, (4/7,0)

Intercept y is the value of y when x=0 ==> y= (7/2).(0) - 2 ==> y = 2
and so intercept y, (0,-2)

Now you will follow the same logic to find the are same questions

2) y= -6x + 3 ==>Slope= -6, Intercept x =1/2 & intercept y=3

3) y=-5 has a slope 0 (it doesn't exist). The graph is a line // to x-axis at y=-5

4)y=(6/5)x + 1:==>Slope= -5/6, Intercept x =-5/6 & intercept y=1

5) y=(1/4)x + 2 ==>Slope= 1/4, Intercept x =-8 & intercept y=2

6) x=5, this ligne is // to y axis at x=-5

5 0

3 years ago