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Alona [7]
3 years ago
9

In the diagram, △ F H J ≅△ H F G . Find the values of x and y. Enter your solutions as numbers.

Mathematics
2 answers:
aniked [119]3 years ago
7 0

Let's solve for x first.

6x+8=35, because of the Alternate Interior Angles Theorem.  When solving for x, that gives us x=4.5

According to CPCTC ~ Congruent Parts of Congruent Triangles are Cogruent, 2.5=2y-3 .. solving for y, that would give us y= 2.75

Happy solving! Hope that helps!


loris [4]3 years ago
4 0
Y= 2.75 add 3 to both sides and divide by 2 (2y - 3 = 2.5)

x= 4.5 subtract 8 from both sides and divide by 6 (6x + 8 = 35)
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A washer and a dryer cost $857 combined. The washer costs $93 less than the dryer. What is the cost of the dryer?
Lelechka [254]

Answer:

Dryer cost $475;  Washer cost $382

Step-by-step explanation:

For this problem, we will simply set up a system of equations to find the value of each the washer (variable x) and the dryer (variable y).

We are given the washer and dryer cost $857 together.

x + y = 857

We are also given that the washer cost $93 less than the dryer.

x = y - 93

So to find the cost of the dryer, we simply need to find the value of y.

x + y = 857

x = y - 93

( y - 93 ) + y = 857

2y - 93 = 857

2y = 950

y = 475

So now we have the value of the dry to be $475.  We can check this by simply plugging in the value and see if it makes sense.

x + y = 857

x + 475 = 857

x = 382

And check this value:

x = y - 93

382 ?= 475 - 93

382 == 382

Therefore, we have found the values of both the washer and the dryer.

Cheers.

6 0
4 years ago
Three less than a 6 times a number is 39. find the number
Vanyuwa [196]
Using the problem, create an equation to find the number (x).
Three less than (so x minus 3) 6 times a number (6 times x) equals 39.

6x-3=39, solve for x.
x = 7
5 0
3 years ago
The sum of four consecutive even integers is -28
mina [271]
I guess you want to find the 4 numbers

x + x + 2 + x + 4 + x + 6 = -28
4x + 12 = - 28
4x =  - 40
x = -10

so the numbers are -10, -8, -6 ,-4.

8 0
3 years ago
Jones covered a distance of 50 miles on his first trip. On a later trip he traveled 300 miles while going three times as fast. H
Sergeeva-Olga [200]

Answer:

The answer is b. But you asked for the thought process so...

Step-by-step explanation:

Let speed of the 1st trip x miles / hr. and speed of the 2nd trip 3x / hr.

We know that

Speed = Distance/Time.

Or, Time = Distance/Speed.

So, the time taken to cover a distance of 50 miles on his first trip = 50/x hr.

And the time taken to cover a distance of 300 miles on his later trip = 300/3x hr.

= 100/x hr.

So we can clearly see that his new time compared with the old time was: twice as much.

Have a great day :)

4 0
3 years ago
Seriously need help working + answer
allsm [11]
This is the answer (−1.550510257)
6 0
3 years ago
Read 2 more answers
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