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Art [367]
3 years ago
14

Triangle ABC is a right triangle. Triangle A'B'C' has a hypotenuse of 10 after triangle ABC undergoes a dilation of 2. If triang

le ABC has a short leg of 5-x and long leg of 2x, what is the length of the short leg of triangle ABC?
a.2
b.3
c.5
d.7
Mathematics
1 answer:
Mice21 [21]3 years ago
8 0
B) the answer is B three

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An astronaut who weighs 85 kilograms on earth weighs 14.2 kilograms on the moon. How much would a person weigh on the moon if th
STatiana [176]

Answer:

Weight on the moon=x=15.87 kilograms

Step-by-step explanation:

This can be expressed as;

Weight on earth=Constant×Weight on moon

where;

Weight on moon=14.2 kilograms

Constant=k

Weight on Earth=85 kilograms

Replacing in the expression above;

85=14.2×k

k=(85/14.2)=5.986

If the person weighs 95 kilograms on Earth;

Weight on the earth=Constant×Weight on moon

where;

Weight on the moon=x

Constant=5.986

Weight on the earth=95 kilograms

Replacing;

95=5.986×x

x=95/5.986=15.87

Weight on the moon=x=15.87 kilograms

4 0
3 years ago
Solve the problem.
marta [7]

Answer:

There will be 90 ways to reach Greenup from Charleston.

Step-by-step explanation:

<em>Option C: 90 is correct.</em>

Let's name all the ways and try to visualize the roads.

C = Charleston

M = Mattoon

T = Toledo

G = Greenup

Task = Charleston to Greenup. How many different ways to reach?

    1            1          

    2           2           1

C   3     M   3   T      2   G

     4           4           3

     5           5

                   6

So, Refer to this above diagram.

If we Start from C then go to 1 and then go to M and then go to 1 and then go to T and then go to 1 and then go G.

If you notice, in this single possibility we have 3 ways: C to 1 to M, M to 1 to T, T to 1 to G.

It means we will have: 5 x 6 x 3 = 90 number of ways to reach greenup from Charleston.

8 0
3 years ago
The value of the figure's surface area is equal to the value of the figure's volume find the value of x. the picture is of recta
emmasim [6.3K]
Surface are of a rectangular prism = 2(l x w + l x h + w x h) = 2(10 x 3 + 10x + 3x) = 2(30 + 13x) = 60 + 26x

Volume of a rectangular prism = l x w x h = 10 * 3 * x = 30x

Since surface area = volume
60 + 26x = 30x
4x = 60
x = 15 in
7 0
3 years ago
Describe a sequence of transformations that can be performed to polygon ABCDE to prove that it is similar to polygon FGHIJ
maxonik [38]

Answer:

answer below

Step-by-step explanation:

ABCDE go through dilation over center (6 , -2) with factor of 1/2 to FGHIJ

AB // FG slope: -2 , √20:√5 = 2: 1

BC // GH // X axis 8:4 = 2:1

CD // HI, slope= 1 , √8:√2 = 2:1

DE // IJ // x axis, 4:2 = 2:1

EA // JF // y axis, 2:1

8 0
2 years ago
400 lbs = ? Tons and 38,600 mg = ? dekagrams
garik1379 [7]
400 lbs = 0.2 tons

38,600 mg = 3.86 dekagrams

Hope it helps!
3 0
3 years ago
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