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Rufina [12.5K]
2 years ago
7

2 8 L J 13 Solve for LK

Mathematics
1 answer:
mario62 [17]2 years ago
8 0

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In the figure below, ∠ABC ≅ ∠DEC and ∠GFE ≅ ∠DCE. Point C is the point of intersection between segment AG and segment BD, while
I am Lyosha [343]

Answer:

See Below.

Step-by-step explanation:

We are given that:

\angle ABC \cong \angle DEC\text{ and } \angle GFE \cong \angle DCE

By vertical angles:

\displaystyle \angle DEC\cong \angle GEF\text{ and } \angle DCE\cong \angle ACB

Hence, by substitution:

\displaystyle \angle ABC\cong \angle GEF\text{ and } \angle GFE\cong \angle ACB

Then by Angle-Angle Similarity:

\Delta ABC \sim \Delta GEF

8 0
3 years ago
Between what two numbers is the exact product of 379 and 8
ANEK [815]
"Product" means to multiply, so you have to multiply 379 by 8 to get 3,032; it's between the numbers 3,031 and 3,033
8 0
3 years ago
Connie and two of her friends completed a 10 mile bike relay each friend wrote an equal part of the race what distance did each
grin007 [14]
If Connie and her two friends are completing the relay, this means that there are three people. 

If they each rode an equal part of the race this means that we must divide the 10 miles (the distance ridden) by 3 (the number of racers).

As a fraction this equals 3 and 1/3 and in a decimal this equals approximately 3.33
6 0
3 years ago
Peggy had four times as many quarters as nickels. She had $2.10 in all. How many nickels and how many quarters did she have?
kari74 [83]
For the answer to the question above, 
and we are told that there are "four times as many quarters as nickels"
this translates to
q = 4n

0.05n + 0.25q = 2.10
and
q = 4n
are your two equations that could be used to solve this problem


if you would like to know how many nickels and how many quarters there are, plug in q = 4n into the first equation and get
0.05n + 0.25(4n) = 2.10
then I would stop here
because I didn't see the choices. So the answer is 4n
8 0
3 years ago
Tom used 5/8 yard of ribbon to tie weights on the tail of his kite. He cut the length of ribbon in equal pieces that were 1/12 y
sweet [91]
Here is the solution for the given problem above:
Given: 5/8 yard of ribbon = total length of the ribbon
            1/12 yard = length of the ribbon after Tom cut it equally
            ? = number of pieces of 1/12 yard from 5/8 yard
So to divide fractions, here is the solution
5/8 divided by 1/12
5/8 multiplied by 12/1
5x12 is 60
8x1 is 8.
So 60/8 would be 7.5. Therefore, the number of pieces that was cut from the 5/8 ribbon is 7.5. Hope this answer helps.
7 0
2 years ago
Read 2 more answers
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