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Olenka [21]
2 years ago
12

If ∆ABC and ∆GEF are congruent, the value of x is___? and the value of y is ___?

Mathematics
2 answers:
attashe74 [19]2 years ago
7 0

<u>Answer-</u>

<em>The value of y is </em><em>6 units</em><em>.</em>

<u>Solution-</u>

Given ∆ABC ≅ ∆GEF

If two triangles are congruent, then the corresponding sides are also congruent.

So,

EF = BC, GF = AC

Putting the values,

\Rightarrow x-y=4 --------------1

\Rightarrow x-8=2

\Rightarrow x=10 --------------------2

Putting the values of x in equation 1,

\Rightarrow 10-y=4

\Rightarrow y=10-4=6

Therefore, the value of y is 6 units.

Kisachek [45]2 years ago
7 0

Answer:

x=10 and y=6

Step-by-step explanation:

he explained it above/below but only provided one answer

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Silva set up a dog-walking business. He earned $60 in June. He is projected to earn 110% more in July. How much is Silva project
snow_lady [41]

9514 1404 393

Answer:

  $126

Step-by-step explanation:

110% more than 100% is 210% of his June earnings:

  july = 2.10×$60 = $126

Silva is projected to make $126 in July.

_____

As always, you can think of % and /100 as being interchangeable.

  210% = 210/100 = 2.10

7 0
2 years ago
The length of a rectangular rug is 4 feet less than twice its width. The perimeter of the rug is 40 feet. Write a system of equa
Brrunno [24]

Answer:

Step-by-step explanation:

L=2W-4

40=2L+2W

The first equation uses the information that the length of a rectangular rug is 4 feet less than twice its width.

The second equation is using your standard perimeter equation of 2L+2W=perimeter of a rectangle.

Hope this is helpful :)

6 0
2 years ago
A baker needs 8 1/2 cups of flour for a sheet cake recipe. He has 4 2/3 cups of flour in a canister and buys 5 1/4 cups more.
Juli2301 [7.4K]

Answer: 1 5/12 cups of flour leftover

Step-by-step explanation: First, add 4 2/3 + 5 1/4. This gives you 9 11/12. 9 11/12 - 8 1/2 = 1 5/12.

6 0
2 years ago
The owners of Expo Company John Smith and Susan Jones invested $240,000 and $160,000 into the business respectively. What percen
Troyanec [42]

Answer:

40%.

Step-by-step explanation:

We have been given that the owners of Expo Company John Smith and Susan Jones invested $240,000 and $160,000 into the business respectively. We are asked to find the percentage of business owned by Susan.

Let us figure out total money invested in business by adding the money invested by John Smith and Susan Jones.

\text{Total money invested in business}=\$240,000+\$160,000

\text{Total money invested in business}=\$400,000

Now we will find $160,000 is what percent of $400,000.

\text{Percentage of business Susan own}=\frac{160,000}{400,000}\times 100

\text{Percentage of business Susan own}=0.4\times 100

\text{Percentage of business Susan own}=40

Therefore, Susan owns 40% of the business.

5 0
2 years ago
A pool in the shape of a rectangle has a perimeter of 80feet. The pool is 8 feet less wide than it is long. Find the length and
Lyrx [107]

Answer:

The length and width of the pool = 24 ft and 16 ft

Step-by-step explanation:

Let length of pool be l and width of pool be w.

A pool in the shape of a rectangle has a perimeter of 80feet.

Perimeter of pool = 2 x ( l + w ) = 80 feet

That is

       l + w  = 40 ft -----------------------------------eqn 1.

The pool is 8 feet less wide than it is long.      

      l = 8 + w

       l - w  = 8 ft -----------------------------------eqn 2.      

eqn 1 + eqn 2

        2 l = 48

         l = 24 ft

Substituting

         24 + w = 40

         w = 16 ft

The length and width of the pool = 24 ft and 16 ft

5 0
2 years ago
Read 2 more answers
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