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melamori03 [73]
3 years ago
14

Hey, I need help on this assignment

Mathematics
1 answer:
True [87]3 years ago
3 0

Step-by-step explanation:

YO ≅ NZ

Given

YO + OZ ≅ NZ + OZ

Additive property

YZ ≅ NO

Segment addition postulate

∠M ≅ ∠X, ∠N ≅ ∠Y

Given

ΔMNO ≅ ΔXYZ

AAS congruence

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A rectangular prism with a volume of 2 cubic units is filled with cubes with side lengths of 1/4​ unit. How many 1/4 unit cubes
34kurt

Answer:

128

Step-by-step explanation:

Method A.

The volume of the prism is 2 cubic units.

Each cube has side length of 1/4 unit.

The volume of each cube is (1/4)^3 cubic unit.

The volume of each cube is 1/64 cubic unit.

To find the number of cubes that fit in the prism, we divide the volume of the prism by the volume of one cube.

(2 cubic units)/(1/64 cubic units) =

= 2/(1/64)

= 2 * 64

= 128

Method B.

Imagine that the prism has side lengths 1 unit, 1 unit, and 2 units (which does result in a 2 cubic unit volume.) Since each cube has side length 1/4 unit, then you can fit 4 cubes by 4 cubes by 8 cubes in the prism. Then the number of cubes is: 4 * 4 * 8 = 128

4 0
3 years ago
Read 2 more answers
What is the effect on the graph of f(2) g(2) =} - 1? 1 when it is transformed to g(x)=1/x -7
777dan777 [17]

The effect on the graph of f(x)= 1/x when it is transformed to g(x)= 1/x-7 is C. The graph of f(x) is shifted 7 units down.

<h3>What is a graph?</h3>

A graph is a diagram showing the relation between variable quantities, each measured along with one of a pair of axes at right angles.

In this case, the effect on the graph of f(x)= 1/x when it is transformed to g(x)= 1/x-7 is that the graph of f(x) is shifted 7 units down.

The missing options include:

A. The graph of f(x) is shifted 7 units up

B. The graph of f(x) is shifted 7 units to the left

C. The graph of f(x) is shifted 7 units down

D. The graph of f(x) is shifted 7 units to the right.

Learn more about graph on:

brainly.com/question/19040584

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6 0
2 years ago
red bike is traveling south, toward Lawrence, at constant speed of 24km/h and a blue bike is also traveling east, away from Lawr
zavuch27 [327]

Answer:

a.R=10-24t

b.B=6+6t

Step-by-step explanation:

We are given that

Speed of red bike, v=24 km/h

Speed of blue bike, v'=12km/h

Distance of red bike when t=0

=10 km north

Distance of blue bike when t=0

=6km east

a. We have to find the expression of distance of red bike from Lawrence.

Distance=speed\times time

Let t be the time taken by red bike

Distance of red bike from Lawrence is given by

R=10-24\times t

R=10-24t

b.

Distance of the blue bike from Lawrence

B=6+6\times t

B=6+6t

5 0
3 years ago
The area of a circle is 4π in². What is the circumference, in inches? Express your answer in terms of π.
omeli [17]

Answer:

C = 4π in

Step-by-step explanation:

We require to find the radius r of the circle

Given the area is 4π , then

πr² = 4π ( divide both sides by π )

r² = 4 ( take the square root of both sides )

r = \sqrt{4} = 2

Then

C = 2πr = 2π × 2 = 4π inches

3 0
3 years ago
Read 2 more answers
Which of these best describes the location of (0,9) on a coordinate grid?
fenix001 [56]

Answer:

On the y-axis

Step-by-step explanation:

1. You have to locate where the x and y axis goes to.

2. Locate where the number is on the x-axis. Since your number is 0, it stays where it is right now

3. Locate where the number is on the y-axis. Your number is 9 so it would go up 9 on the y-axis.

There is your answer. Coordinate (0,9) is located on the y-axis of a coordinate graph.

7 0
3 years ago
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