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3 years ago

7

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

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

If p || r, then what is m∠G

Zanzabum

We have a case of two parallel lines with a transversal intersecting these lines. To find the m∠G, we are going the use the Alternate Exterior Angles Theorem, stating that two angles who lie on opposite sides of the transversal, not located in the interior, are congruent.

Therefore, the m∠G = 34°

Hope this helps! :^)

7 0

4 years ago

Explain how to find the sum of 3/10 + 4/100

Neporo4naja [7]

Answer: 17/50

Step-by-step explanation:

First, to add fractions, we must find a common denominator, in this case, 100.

Then, we must make the fractions being added all have the common denominator.

So, we must multiply 3/10 * 10/10, which equals 30/100

30/100 + 4/100

Then, just add across the numerator to get 34/100, which can be simplified to 17/50

6 0

3 years ago

Read 2 more answers

I don't know what to do I'm very confused

finlep [7]

Answer:

x = 33.8°

Step-by-step explanation:

The resulting diagram we have is a right triangle. To find x, apply trigonometric function.

Reference angle = x

Opposite = 116

Adjacent = 173

Apply TOA:

Tan x = Opp/Adj

$tan (x) = \frac{116}{173}$

$x = tan^{-1}(\frac{116}{173})$

$x = tan^{-1}(\frac{116}{173})$

x = 33.8° (nearest tenth)

7 0

3 years ago

Rachel is a stunt driver, and she's escaping from a building that is about to explode!

lilavasa [31]

Answer: 38 meter per second

Step-by-step explanation:

Given: The variable d models Rachel's distance from her exit (in meters) t seconds after the cameras began recording the stunt.

$d=-38t+220$

where -38 is the rate of change of function .

Since speed is the rate of change of position with respect to time , thus

Speed =-38 meter per second which shows decrease in distance with respect to time.

At t=0 second, d=220 meters

At t=1 second , $d=-38+220 =182$ meters

Distance traveled in 1 second = 220-182=38

Now, Rachel's speed= $\frac{Distance}{time}$

Rachel's speed= $\frac{38}{1}$ =38 meter per second

3 0

3 years ago

Read 2 more answers

after being discounted 40%, weather radio sells for $35.97. find the original price (round your answer to the nearest cent)

Wittaler [7]

Answer:

$89.93

Step-by-step explanation:

Set up an equation:

Variable x = original price

40/100 = 35.97/x

Cross multiply

40 × x = 100 × 35.97

40x = 3597

Divide both sides by 40

x = 89.925

Round to the nearest cent:

5 rounds up so:

89.93

Check your work (use the original number instead of the rounded number to be more exact):

89.925 × 40%

Convert the percentage into a decimal to multiply:

89.925 × 0.40

35.97

Correct!

4 0

3 years ago

Read 2 more answers