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OleMash [197]
3 years ago
11

If triangle PQR is similar to SQT, find the value of

Mathematics
2 answers:
ankoles [38]3 years ago
5 0

Answer:

x = 31.4

PQ = 58.8

Step-by-step explanation:

Set up a proportion:

SQ/QP = ST/PR

Substitute in the values they give you:

\frac{x-9}{x-9+x+5}  = \frac{8}{21}

\frac{x - 9}{2x - 4} = \frac{8}{21}

21x - 189 = 16x - 32\\5x = 157\\x = 31.4

This means that PQ = 2x - 4 = 2(31.4) - 4 = 62.8-4 = 58.8

exis [7]3 years ago
4 0

Answer:

x = 15, PQ = 26

Step-by-step explanation:

x+13/9 = 21/x-9

x^2+4x−117=168

x^2+4x−285=0

(x−15)(x+19)=0

x=15

it cannot be a negative number so x cannot be -19

PQ= x+13

15+13=26

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Five years ago I was 5 times older than my son. In 8 years’ time I will be 3 times older than my son. How old am I today?
o-na [289]

Let x = Parent's age now  y = son's age now

Then, x-5 = parent's age five years ago

        y-5 = son's age five years ago

     So, x-5 = 5(y-5)

          Simplify to get x - 5y = -20

Parent's age 8 years from now = x+8

Son's age 8 years from now = y+8

    So, x+8 = 3(y+8)

           Simplifying, we have x - 3y = 16

We have the system of equations:  x - 5y = -20

                                                  x - 3y = 16

Subtract the equations to obtain -2y = -36

                                                  y = 18

                                                  x = 70

Parent is 70 years old and the son is 18 years old.  

6 0
3 years ago
Read 2 more answers
Mia has
Serggg [28]

Answer:

2 7/8

Step-by-step explanation:

first step is making these into improper fractions for example 6 1/8 would equal 49/8 because 6*8=48 and add the 1/8 to get 49/8 then do the same with the 3 1/4 make them into 8ths. so it would be 3 2/8 then 26/8 now subtract 49-26 to get 23/8. now simplify to get 2 7/8

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2 years ago
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The triangle on the grid will be translated two units left. On a coordinate plane, triangle A B C has points (negative 1, negati
nignag [31]

Answer:

Option B.

Step-by-step explanation:

The given vertices of triangle ABC are (-1, -1), (-1, -5) and (0.5, -5).

We need to find the coordinates of triangle when it is translated two units left.

So, the rule of translation is

(x,y)\rightarrow (x-2,y)

Using this rule, we get

A(-1,-1)\rightarrow A'(-1-2,-1)=A'(-3,-1)

B(-1,-5)\rightarrow B'(-1-2,-5)=B'(-3,-5)

C(0.5,-5)\rightarrow C'(0.5-2,-5)=C'(-1.5,-5)

The vertices of triangle A'B'C' are A'(-3,-1), B'(-3,-5) and C'(-1.5,-5).

Therefore, the correct option is B.

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How many periods of time, each 1/3 of an hour long, does,a 8- hour period of time represent
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1/3 of an hour = 20 minutes

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