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marusya05 [52]
4 years ago
5

Given ABCDEF ≅ GHIJKL .

Mathematics
2 answers:
Karolina [17]4 years ago
8 0
If they are congruent, then angle K = angle E which is 114
LekaFEV [45]4 years ago
5 0

Answer:

114

Step-by-step explanation:

Given are the two geometrical figures which are similar.

ABCDEF  is similar to GHIJKL

But not  in the order.

Let us select the corresponding angles.

B = H = 90 degrees

C=I:   etc

i.e. A = G, B=H,...

Hence angle E = angle K

Since angle E is given as 114, angle K also would be equal to 114

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Victoria and Georgetown are 67.2 miles from each other. How far apart would the cities be on a map that has a scale of 0.9 inche
Artemon [7]

Answer: 5.76 miles

Step-by-step explanation:

Let the distance between Victoria and Georgetown on the map be represented by x.

The information given in the question can then be formed into an expression which will be:

0.9/x = 10.5/67.2

Cross multiply

(10.5 × x) = 67.2 × 0.9

10.5x = 60.48

x = 60.48/10.5

x = 5.76

The answer is 5.76 miles

7 0
3 years ago
Edna earns $6 for each hour of yard work. How many hours in all will it take Edna to earn<br> $42?
madreJ [45]

Answer:

42 divided by 6=7 so 7 hrs

Step-by-step explanation:

its probalay wrong im not smart lol

5 0
3 years ago
Read 2 more answers
Choose the correct simplification of the expression (8x − 5)(2x2 − 5x − 6). (1 point)
OleMash [197]
The easiest terms to check are the first (8x)(2x²) = 16x³ and the last (-5)(-6) = 30. This check eliminates the first choice. The remaining choices differ only in the sign and coefficient of the squared term, so that is the one we need to find.

The squared term will be the sum of the products of factors whose degrees total 2:
  (8x)(-5x) + (-5)(2x²) = -40x² -10x² = -50x²

The appropriate choice is
  16x³ -50x² -23x +30
6 0
3 years ago
A regular decagon has a radius of 8 cm. what is the approximate area of the decagon? recall that a decagon is a polygon with 10
lianna [129]

The approximate area of the decagon with a side of 8cm comes to be 492.40 cm².

The side of the regular decagon = 8cm

<h3>What is a regular decagon?</h3>

A regular decagon is a polygon with 10 sides that are equal to each other.

The area of a regular decagon with side a is:

A=\frac{5}{2} a^{2} \sqrt{5+2\sqrt{5} }

So, the area A of the regular decagon with a side of 8cm:

A=\frac{5}{2} 8^{2} \sqrt{5+2\sqrt{5} }

A=160\sqrt{5+2\sqrt{5} }

A=492.40 cm²

Therefore, the approximate area of the decagon is 492.40 cm².

To get more about the decagon visit:

brainly.com/question/19899848

7 0
2 years ago
Find the least common multiple of 8c4 and 6c2 .
Ksju [112]
The least common multiple is the smallest term that can be divided to both terms without any remainder. For the two terms 8c^4 and 6c^2, you can determine it into two part. First, you find the LCM for 8 and 6. You find the prime number that is common between the two. That would be 2. For the variables c^4 and c^2, the 'prime variable' is c. Therefore, the least common multiple for 8c^4 and 6c^2 is 2c.
6 0
4 years ago
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