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allochka39001 [22]
3 years ago
7

For what values of x and y are the triangles congruent?

Mathematics
2 answers:
KatRina [158]3 years ago
7 0
For y
since both triangles are congruent,
6y-8=2y+8
4y=16
y=4
For x
5x-5y=2y+7
since y is 4, substitute y to 4
so,
5x-5(4)=2(4)+7
5x-20=15
5x=35
x=7
olya-2409 [2.1K]3 years ago
3 0

Yeah, what he said...x=7 :)

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An auto mechanic converts a metric part to 0.492 in. The part comes only in fractional sizes given to the nearest 64th of an inc
tatuchka [14]

Answer:

the closest part the mechanic can chose is 0.5 inch

Step-by-step explanation:

fractional sizes given to the nearest 64th of an inch = 1/64 = 0.0156

the closest size to 0.492in = 0.492 + 0.0156 = 0.5076 inches

approximately, the closest part the mechanic can chose is 0.5 inch

4 0
3 years ago
Estimate 1.133+7.684+4.718
avanturin [10]

Answer:

1.133 is about 1, 7.684 is about 8, and 4.718 is about 5. Thus, 1 + 8 + 5 = about 14.

6 0
2 years ago
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The Royal Fruit Company produces two types of fruit drinks. The first type is 60% pure fruit juice, and the second type is 85% p
andrew11 [14]

Answer: There are 32 pints of first type and 128 pints of second type in mixture.

Step-by-step explanation:

Since we have given that

Percentage of pure fruit juice in first type = 60%

Percentage of pure fruit juice in second type = 85%

Percentage of pure fruit juice in mixture = 80%

We will use "Mixture and Allegation" to find the ratio of first and second type in mixture:

          First type          Second type

               60%                    85%

                              80%

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

     85-80               :              80-60

       5%                  :                 20%

        1                     :                   4

so, the ratio of first and second type is 1:4.

Total number of pints of mixture = 160

Number of pints of mixture of  first type in mixture  is given by

\dfrac{1}{5}\times 160\\\\=32\ pints

Number of pints of mixture of second type in mixture is given by

\dfrac{4}{5}\times 160\\\\=4\times 32\\\\=128\ pints

Hence, there are 32 pints of first type and 128 pints of second type in mixture.

6 0
3 years ago
Round to the nearest hundredth 0.2189
Aleks04 [339]

Answer:

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4 or less let it rest, 5 or more add one more!.

8 is greater than 1 so you add one to 1 which equals 2, so your answer would be 0.22

6 0
2 years ago
45 children attend preschool the number of two-year-olds is 1/2 the number of three-year-olds the number for your old is the sam
Mkey [24]
There are 9 two-year-olds and 18 each of 3 and 4 year olds.

To solve this we could write and solve the equation below, letting x be the number of 3 and 4 year olds.

x/2 + x + x = 45
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From here, we just divide 18 by 2 to get the number of 2 year olds.
6 0
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