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kolezko [41]
2 years ago
7

The first triangle is dilated to form the second triangle select true or false for each statement

Mathematics
2 answers:
Grace [21]2 years ago
8 0

Answer:

Part A) Is False

Part B) Is True

Step-by-step explanation:

we know that

the scale factor is equal to divide the length of the corresponding side of the second triangle by the length of the corresponding side of the first triangle

Let

z-----> the scale factor

x-----> the length side of the second triangle

y------> the length side of the first triangle

so

z=\frac{x}{y}

In this problem we have

x=0.8\ units

y=0.5\ units

substitute

z=\frac{0.8}{0.5}=1.6

1.6 > 1 ------> is an enlargement

Verify the statements

Part A) the scale factor is 0.625

The statement is false, because the scale factor is 1.6

Part B) the scale factor is 1.6

The statement is True -----> see the procedure

Snezhnost [94]2 years ago
4 0
True and false is the answer
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Niles and Bob sailed at the same time for the same length of time. Niles' sailboat traveled 36 miles at a speed of 6 mph, while
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Answer:

Niles and Bob were traveling for 6 hours.

Step-by-step explanation:

The speed or rate at which an object is moving can be computed using the formula:

s=\frac{d}{t}

Here:

<em>s</em> = speed

<em>d</em> = distance traveled

<em>t</em> = time taken

It is provided that Niles and Bob sailed at the same time for the same length of time.

Speed of Niles sailboat is, <em>s</em>₁ = 6 mph.

Distance traveled by Niles' sailboat is, <em>d</em>₁ = 36 miles.

Speed of Bob's sailboat is, <em>s</em>₂ = 16 mph.

Distance traveled by Bob's sailboat is, <em>d</em>₂ = 96 miles.

It took both Niles and Bob the same time to travel the respective distance.

Compute the time it took Niles to travel 36 miles at 6 mph speed as follows:

t_{1}=\frac{d_{1}}{s_{1}}

   =\frac{36}{6}\\=6

It took Niles 6 hours to travel 36 miles at 6 mph speed.

Compute the time it took Bob to travel 96 miles at 16 mph speed as follows:

t_{2}=\frac{d_{2}}{s_{2}}

   =\frac{96}{16}\\=6

It took Bob 6 hours to travel 96 miles at 16 mph speed.

Thus, Niles and Bob were traveling for 6 hours.

7 0
3 years ago
Is w^2-9w+81 a trinomial square
Yuri [45]
No because it would be
if you knew that
ax^2+bx+c was a trinomial square, then the factored form would be
( \sqrt{a}x+ \sqrt{c})^{2} or ( \sqrt{a}x- \sqrt{c})^{2}
so
if w^2-9w+81 is perfect square, factored form is either
( \sqrt{1}x+ \sqrt{81})^{2} or ( \sqrt{1}x- \sqrt{81})^{2}  aka ( x+9)^{2} or  ( x-9)^{2}
expand them
(x+9)^2=x^2+18x+81, wron middle term

(x-9)^2=x^2-18x+81 wrong

so it is not






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Rotundo to the nearest 10 of 569
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