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den301095 [7]
2 years ago
5

Triangle DEF is a scaled copy of triangle ABC. Which segment in the scaled copy corresponds to segment AB?

Mathematics
1 answer:
zimovet [89]2 years ago
6 0
The scaled copy (DEF) is 1.5x larger than the original copy (ABC).

DE (6) is 1.5x larger than AB (4). This is the segment which corresponds to segment AB.

Answer: DE
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If you're starting salary is 40,000 and you receive a 3% increase at the end of every year what is the total amount in dollars y
storchak [24]
\bf \qquad \textit{Amount for Exponential Growth}\\\\
A=I(1 + r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
I=\textit{initial amount}\to &40000\\
r=rate\to 3\%\to \frac{3}{100}\to &0.03\\
t=\textit{elapsed time}\to &15\\
\end{cases}
\\\\\\
A=40000(1+0.03)^{16}\implies A=40000(1.03)^{16}
7 0
2 years ago
a meteorologist measures the angle of elevation of a weather balloon with the ground as 41. A radio signal from the balloon indi
Aneli [31]
Here you would use right triangle trig (SOH CAH TOA)
So first draw a right triangle. Imagine youre standing at the angle opposite the right angle which is the one on the ground.This angle is the 41°. Now Imagine the balloon is as the angle above the right triangle. Well since the balloon is 1503 m from his location this would be the hypotenuse. SInce we are trying to find the height (x) we would use sine since
sine = opposite/hypotenuse . Now lets solve make sure calculator is in degree mode:

sin41 = x/1503      multiply both sides by 1503 to cancel it out
1503sin41 = x        plug into calculator
x = 986.057 ft
The balloon is 986.057 feet above the ground.


6 0
3 years ago
Read 2 more answers
The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8. Let
Artyom0805 [142]

Answer:

x = 16, y = 22: So C.

Step-by-step explanation:

3 0
2 years ago
What is the answer to number to 13
Bad White [126]
The answer is (28×15)
6 0
3 years ago
A secant and a tangent to a circle intersect in a 42-degree angle. The two arcs of the circle intercepted by the secant and the
Amanda [17]

Answer:

The measure of the third arc is 150\°

Step-by-step  explanation:

step 1

we know that

The measurement of the external angle is the semi-difference of the arcs which comprises

in this problem

Let

x----> the greater arc of the circle intercepted by the secant and the tangent

y----> the smaller arc of the circle intercepted by the secant and the tangent

42\°=\frac{1}{2}(x-y)

84\°=(x-y) ----> equation A

\frac{x}{y}=\frac{7}{3}

x=\frac{7}{3}y -----> equation B

Substitute equation B in equation A and solve for y

84\°=(\frac{7}{3}y-y)

84\°=(\frac{4}{3}y)

y=3*84\°/4=63\°

Find the value of x

x=\frac{7}{3}(63\°)=147\°

step 2

Find the measure of the third arc

Let

z------> the measure of the third arc

we know that

x+y+z=360\° -----> complete circle

substitute the values and solve for z

147\°+63\°+z=360\°

z=360\°-(147\°+63\°)=150\°

3 0
2 years ago
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