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Alex17521 [72]
3 years ago
6

If triangle ABC is Congruent with triangle DEF the length of side DE is:

Mathematics
2 answers:
amid [387]3 years ago
5 0
AB is congruent to side DE.

So,

AB= 23 and DE= 23

I hope this helps!
~kaikers
Elza [17]3 years ago
3 0
The key to this problem is in the statement of congruence:
If: ABC ≅ DEF, then we can state that side AB ≅ side DE since they are in the same position within the congruence statement..

As a side note: you can also state the remaining congruence of corresponding sides and angles as well..

So your answer is: 23

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Given right triangle ABC. To the nearest degree, find the measure of angle B.
DedPeter [7]

Answer:

Step-by-step explanation:

We have the length of AC which is opposite angle B; we also have the length of the hypotenuse.  We will use trig here to solve for angle B.  The sin ratio is the one that fits.

sin(B) = side opposite / hypotenuse:

sin(B)= \frac{ 4.8}{ 5.1} so

sin(B) = .9411764706

Now we will use the 2nd button on our calculators.  This will give us the missing angle value.  Press 2nd then sin and you will see on your screen:

sin^{-1 (

Enter that decimal after the open parenthesis and hit "enter" to get

B = 70.25 or 70°

4 0
3 years ago
A new computer can complete a complex biochemistry calculation in 7 hours less than an older-model computer. Working together, t
Alchen [17]
The rate a computer works is 1/time. Working together, you add the rates.
Let new computer be x, old computer be y.
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\frac{1}{x} + \frac{1}{y} = \frac{1}{13} \\  \\ \frac{1}{y-7}+\frac{1}{y} = \frac{1}{13} \\  \\ \frac{2y-7}{y(y-7)} = \frac{1}{13} \\  \\ y(y-7) = 13(2y-7) \\  \\ y^2-33y+91 = 0 \\  \\ y = 29.96 \\  \\ x = y-7 = 29.96-7 = 22.96
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x = 23 hours
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What is 14.1% of the 132 mL rounded to the nearest 10th
Anastasy [175]
132 x 14.1% = 18.612


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Answer:

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5.    5x

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