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Ivahew [28]
3 years ago
10

If ABC = DEF, then angle A. SAS congruence B. SSS congruence C. CPCTC

Mathematics
1 answer:
saveliy_v [14]3 years ago
8 0
Hey there! :D

If you already know that two triangles are congruent, (which is given)

then any other part of the triangle can be proved congruent by CPCTC.

Congruent Parts of Corresponding Triangles are Congruent.

I hope this helps!
~kaikers


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A shirt and a tie together cost $57. The shirt costs $33 more than the tie. What is the cost of the shirt?
ArbitrLikvidat [17]

Answer:

Shirt: $45 , Tie: $12

Step-by-step explanation:

Let s be the price of the shirt

Let t be the price of the tie

Given the information from the question,

s + t = 57 - Equation 1

s - t = 33 - Equation 2

We will use substitution method to find the prices.

We will rearranging equation 1.

s = 57 - t

We will substitute s into equation 2.

57 - t - t = 33

57 - 2t = 33

-2t = 33 - 57

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t = -24 / -2

= 12

We now substitute t into Equation 1.

s + 12 = 57

s = 57 - 12

= 45

From here we know, the shirt costs $45 and the tie costs $12

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2 years ago
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Find the height of a cone when its diameter is 8 inches and the volume is 100 cubic inches
Aloiza [94]

Answer:

\frac{75}{4\pi } inches or approximately 5.97 inches  

Step-by-step explanation:

Use the cone volume formula: V = \pir²\frac{h}{3}

The diameter is 8 inches, so the radius will be 4 inches.

Plug in the radius and volume, and solve for h

V = \pir²\frac{h}{3}

100 = \pi(4²)(\frac{h}{3})

100 = 16\pi\frac{h}{3}

Divide each side by 16\pi

\frac{25}{4\pi } = \frac{h}{3}

Cross multiply and solve for h:

4\pih = 75

h = \frac{75}{4\pi }

So, the cone's height is \frac{75}{4\pi } or approximately 5.97 inches  

7 0
3 years ago
A graph has time (years) on the x-axis and height (inches) on the y-axis. A line goes through points (2, 5) and (4, 10).
Sergeu [11.5K]

Answer:

2.5 inches per year

Step-by-step explanation:

We can deduce the rate of change by obtaining the slope or gradient of thw points given :

Gradient = Rise / Run.

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Which is 2.5 inches per year

4 0
3 years ago
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