All categories

2 years ago

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.

Mathematics

1 answer:

ki77a [65]2 years ago

6 0

The question is not well presented and the question also requires an attachment which is missing. See complete question below

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.

a. 12/24 = 18/16 = ½

b. 12/18 = 16/24 = ⅔

c. 12/16 = 18/24 = ¾

d. 18/12 = 24/16 = 3/2

Answer:

c. 12/16 = 18/24 = ¾

Step-by-step explanation:

Given

Two similar triangles

Required

Ratio of corresponding sides

To solve questions like this, you have to make comparisons between the similar sides of the triangle.

From the attached file,

Side PQ is similar to Side AB

And

Side QR is similar to Side BC

Also from the attached file

PQ = 12 and QR = 18

AB = 16 and BC = 24

Now, the ratio can be calculated.

Ratio = PQ/AB or QR/BC

Ratio = PQ/AB

Ratio = 12/16

Divide numerator and denominator by 4

Ratio = ¾

Ratio = QR/BC

Ratio = 18/24

Divide numerator and denominator by 6

Ratio = ¾.

Combining these results

Ratio = 12/16 = 18/24 = ¾

Hence, option C is correct

You might be interested in

The following information is given for Tripp Company, which uses the indirect method

oee [108]

Answer:

Step-by-step explanation:

The cash flow from operating activities is = $28000.

Working Note:

Net Income $20000

Depreciation expense $3000

Increase in accounts receivable ($2000)

Increase in accounts payable $4000

Decrease in inventory $3000

Net Cash Flow from Operating Activities = 20000 + 3000 – 2000 + 4000 + 3000

Net Cash Flow from Operating Activities = $28000

The cash flow from investing activities = $6000.

Working Note:

Proceeds from sale of equipment $6000

Net cash flow from investing activities = $6000

The cash flow from financing activities = - $2000 or ($2000)

Working Note:

Payment of dividends ($2000)

Net Cash flow from financing activities = - $2000 or ($2000)

7 0

3 years ago

How would you write: two times a number plus one is greater than five and less than seven.?

lesya [120]

This would be written like this: 5>2n+1<7. Hope this helps.

5 0

3 years ago

William and Stephanie are playing a rather dangerous game of catch on the rooftops of skyscrapers in downtown Chicago. William i

olasank [31]

The question involves the concept & equations associated with projectile motion.

Given:
y₁ = 1130 ft
v₁ = +46 ft/s (note positive sign indicates upwards direction)
t = 6.0 s
g = acceleration due to gravity (assumed constant for simplicity) = -32.2 ft/s²

Of the possible equations of motion, the one we'll find useful is:

y₂ = y₁ + v₁t + 1/2gt²

We can just plug and chug to define the equation of motion:

y = (1130 ft) + (46 ft/s)t + 1/2(-32.2 ft/s²)t²

(note: if you were to calculate y using t = 6.0 s, you'd find that y = 826.4 ft, instead of 830 ft exactly because of some rounding of g and/or the initial velocity)

7 0

3 years ago

Which graph represents the compound inequality?

jenyasd209 [6]

Answer:

4th option

Step-by-step explanation:

open circle means more than or less than

n is more than -3 but less than 1

7 0

2 years ago

If h(x) = (f o g)(x) and h(x) = ∛7x+1, find f(x) and g(x)

Mariana [72]

There's more than one way to combine them really
but an obvious one will be

$\bf \begin{array}{llll}
h(x)&=&(f\circ g)(x)\\\\
&&\sqrt[3]{7x+1}\\\\
&&\sqrt[3]{g(x)}\leftarrow 
\begin{array}{llll}
f(x)=\sqrt[3]{x }\\\\
g(x)=7x+1
\end{array}
\end{array}\\\\
-----------------------------\\\\
(f\circ g)(x)\iff f[\quad g(x)\quad ]=\sqrt[3]{g(x)}\implies f[\quad g(x)\quad ]=\sqrt[3]{7x+1}$

7 0

3 years ago