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3 years ago

8

Are ADEF and ARPQ congruent?

1 answer:

kari74 [83]3 years ago

8 0

Answer:

B. Yes. ΔDEF can be mapped to ΔRPQ by a 180° rotation about the origin followed by a translation 2 units down.

Step-by-step explanation:

^^^just did it on edg and got it right.

You might be interested in

Angelina wins money in a competition. She is given the choice as to how she is paid.

NISA [10]

Answer:

Choice 1
20 days

Step-by-step explanation:

You are being asked to compare the value of a growing infinite geometric series to a fixed constant. Such a series will always eventually have a sum that exceeds any given fixed constant.

__

<h3>a)</h3>

Angelina will get more money from the Choice 1 method of payment. The sequence of payments is a (growing) geometric sequence, so the payments and their sum will eventually exceed the alternative.

__

<h3>c)</h3>

For a first term of 1 and a common ratio of 2, the sum of n terms of the geometric series is given by ...

Sn = a1×(r^n -1)/(r -1) . . . . . . . . . . series with first term a1, common ratio r

We want to find n such that ...

Sn ≥ 1,000,000

1 × (2^n -1)/(2 -1) ≥ 1,000,000

2^n ≥ 1,000,001 . . . . add 1

n ≥ log(1,000,001)/log(2) . . . . . take the base-2 logarithm

n ≥ 19.93

The total Angelina receives from Choice 1 will exceed $1,000,000 after 20 days.

8 0

2 years ago

Find f(5) please explain

kirza4 [7]

Answer:

-1

Step-by-step explanation:

A function is represented by the following symbol f(x) where f(x) further represents y like this ,

$y=f(x)$

so in this question they are asking what is f(5) which means when the value of x is 5 what is the value of y?

We can see in the graph when x = 5 the value of y is -1 to be exact so

f(5) = -1

or

$y=f(x)\\-1 = f(5)\\$

8 0

3 years ago

What is the slope of the line that contains the points (-1,9) and (5,21)

geniusboy [140]

Y-y
——-
X-x

21-9=12
5-(-1) =6
So the answer is D

7 0

3 years ago

LORAN is a long range hyperbolic navigation system. Suppose two LORAN transmitters are located at the coordinates (−60,0) and (6

USPshnik [31]

LORAN follows an hyperbolic path.

The equation of the hyperbola is: $\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}$

The coordinates are given as:

$\mathbf{(x,y) = (-60,0)\ (60,0)}$

The center of the hyperbola is

$\mathbf{(h,k) = (0,0)}$

The distance from the center to the focal points is given as:

$\mathbf{c = 60}$

Square both sides

$\mathbf{c^2 = 3600}$

The distance from the receiver to the transmitters is given as:

$\mathbf{2a = 100}$

Divide both sides by 2

$\mathbf{a = 50}$

Square both sides

$\mathbf{a^2 = 2500}$

We have:

$\mathbf{b^2 = c^2 - a^2}$

This gives

$\mathbf{b^2 = 3600 - 2500}$

$\mathbf{b^2 = 1100}$

The equation of an hyperbola is:

$\mathbf{\frac{(x - h)^2}{a^2} + \frac{(y - k)^2}{b^2} = 1}$

So, we have:

$\mathbf{\frac{(x - 0)^2}{2500} + \frac{(y - 0)^2}{1100} = 1}$

$\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}$

Hence, the equation of the hyperbola is: $\mathbf{\frac{x^2}{2500} + \frac{y^2}{1100} = 1}$

Read more about hyperbolas at:

brainly.com/question/15697124

7 0

3 years ago

Read 2 more answers

an airplane flies from city a to city b, which is 100 kilometers north and 150 kilometers west of city a. how far does the plane

frozen [14]

Answer:250 kilometers

Step-by-step explanation:

so it travels 100 kilometers north and another 150 kilometers north so 100+150 is 250 kilometers

3 0

2 years ago