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BigorU [14]
3 years ago
11

In the image below, ABC ~ DEF What is the length of EF and the measure of D

Mathematics
1 answer:
Gwar [14]3 years ago
7 0
If triangle ABC is congruent to triangle DEF, then EF = BC = 27
This is because BC and EF are the last two letters of ABC and DEF respectively. They match up and correspond, being congruent by CPCTC

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Similarly, if triangle ABC is congruent to triangle DEF, then angle D = angle A = 49 degrees

The letter D and the letter A are the first letters of DEF and ABC respectively. So they match up and are congruent by CPCTC

CPCTC = Corresponding Parts of Congruent Triangles are Congruent

-------------------------------------------------------------------------------------------------------------

So in short, the answer is choice B) 27; 49

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The product of two rational is (-28/81).if one of the number is -4/15.find other
Margaret [11]

Answer:

35/27

Step-by-step explanation:

We simply need to divide the product of the numbers (-28/81) by one of the numbers (-4/15):

\frac{\frac{-28}{81}}{\frac{-4}{15} } \\ \\= \frac{-28}{81} * \frac{15}{-4} \\\\= \frac{7 * 5}{27} = \frac{35}{27}

The second number is 35/27.

7 0
3 years ago
How much interest is earned on a principal of $316 invested at an interest rate of 9%
anzhelika [568]

Answer:

$130.06

Step-by-step explanation:

Interest is calculated as shown;

I = A - P

A is the amount

P is the principal

Given

Principal = $316

Rate R = 9% = 0.09

Time t = 4yrs

Substiutte and get Amount A

A  =P(1+r)^n

A = 316 (1+0.09)^4

A = 316(1.09)^4

A = 316(1.4116)

A = 446.06

Interest = 446.06 - 316

Interest = 130.06

Hence the interest is $130.06

4 0
3 years ago
The circumference of a child's swimming pool that has a radius of 3 feet.
ExtremeBDS [4]
Formula for circumference= (2)(pi)(r) or (pi)(d)
diameter=2r=6ft
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7 0
3 years ago
What are two equivalent equations???????????????????
Trava [24]
1+1 is equal to 3-1. 1+1=2. 3-1=2. 2=2
4 0
3 years ago
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Describe the relationship between the number of "at bats" and the number of hits using the data in the scatter plot.
butalik [34]

Answer: A.) For these data, as the number of at bats increases, the number of hits tend to increase.

This is because the points seem to trend upward as we move from left to right. This makes sense because the more attempts you get, the more hits you're expected to get.

Assume that someone has a batting average of 0.300; this means that if they got 1000 attempts, then we expect about 0.300*1000 = 300 hits. Now if they got 2000 at bats this time, then we expect about 0.300*2000 = 600 hits.

Of course things won't fit this perfectly since everything in life has random statistical error, but this gives a good idea of the upward trending data. The two variables (at bats and hits) are strongly related. We can say the variables have strong positive correlation.

6 0
3 years ago
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