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Stells [14]
2 years ago
3

A sequence of transformations which moves ΔABC onto ΔDEF shows that ΔABC ≅ ΔDEF. Which part of the triangles are congruent by CP

CTC?

Mathematics
2 answers:
lutik1710 [3]2 years ago
8 0

Answer:

AB ≅ DE, BC ≅ EF and CA ≅ FD are the corresponding congruent sides.

Step-by-step explanation:

CPCTC means "Corresponding parts of congruent triangles are congruent".

If two triangles ΔABC and ΔDEF are congruent, then their corresponding sides will be equal.

Transformations (rotations, reflection and translation) of congruent triangles hardly makes any difference.

Therefore, AB ≅ DE, BC ≅ EF and CA ≅ FD are the corresponding congruent sides.

Sladkaya [172]2 years ago
6 0

Answer:

AB ≅ DE

Step-by-step explanation:

CPCTC (Corresponding parts of congruent triangles are congruent) is a theorem stating that if two triangles are congruent,

then all the corresponding parts are congruent.

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to eliminate the y-terms and solve for x in the fewest steps, by which constants should the equations be multiplied? first equat
Mazyrski [523]

Answer: The first equation should be multiplied by 9 and the second equation by −4, to eliminate the y-terms and solve for x in the fewest steps.


Step-by-step explanation:

Given : Equation (1) 5x − 4y = 28

Equation (2) 3x - 9y = 30

to eliminate the y-terms and solve for x in the fewest steps, we should multiply  equation (1) by 9 and equation (2) by -4 such that

9(5x − 4y) =9 (28)⇒45x-36y=252

-4(3x - 9y) = -4(30)⇒ -12x+36y= -120

Now adding both equations, y-term eliminated and we get, 45x-12x=132

⇒33x=132⇒x=4.

8 0
2 years ago
Read 2 more answers
Adult male heights have a normal probability distribution with a mean of 70 inches and a standard deviation of 4 inches. What is
NNADVOKAT [17]

Answer:

The probability that the man is greater than 74 inches is 0.1587

Step-by-step explanation:

The required probability is found by evaluating the area under the corresponding distribution curve for the corresponding values

The standard normal variate factor (Z) is given by

Z=\frac{x-\bar {X}}{\sigma }

where

\bar{x} is mean of the data

\sigma is the standard deviation of the data

Thus corresponding to x = 74 the Z factor equals

Z=\frac{74-70}{4}=1

Using the standard normal distribution table corresponding to mean of 70 and deviation of 4 the area under the curve corresponding to Z = 1 equals

0.1587

6 0
2 years ago
Using the technique in the model above, find the missing segments in this 30°-60°-90° right triangle. AB = 8 BC = 4 CD =
zimovet [89]
For a 30-60-90 triangle the sides always have the same relationship
Short leg = a
Long leg = a√3
Hypotenuse = 2a

BC is the short leg of ∆ABC

Given BC = 2
BC = a
Therefor
a = 2
AB = 2a = 4
AC = a√3 = 2√3

For ∆ACD
As above AC = 2√3
Since AC is the hypotenuse of ∆ACD
2a = 2√3
a = √3

CD = a = √3
AD = a√3 = 3

For ∆BCD
As above
BC = 2
CD = √3
Since BC is the hypotenuse of ∆BCD
2a = 2
a = 1

DB = a = 1
6 0
2 years ago
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Justin is constructing a line through point Q that is perpendicular to line n. He has already constructed the arcs shown. A line
xz_007 [3.2K]

I believe that this problem has the following choices:

It must be equal to BQ .<span>
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It must be equal to AB .
It must be the same as when he constructed the arc centered at point A.</span>

 

The correct answer is the last one:

It must be the same as when he constructed the arc centered at point A.

<span> </span>

4 0
2 years ago
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Compare 5.7145... And the square root of 29
svlad2 [7]

To get the square root of 29, we can simply use a calculator.

So the square root of 29 using the calculator is:

sqrt (29) = 5.3852

 

<span> So we can say that 5.7145 is greater than the square root of 29.</span>

<span>The difference is 5.7145 – 5.3852 = 0.3293</span>

4 0
2 years ago
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