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ruslelena [56]
3 years ago
12

Craig likes to collect records. Last year he had 10 records in his collection. Now he has 11 records. What is the percent increa

se of his collection?
Mathematics
1 answer:
Marizza181 [45]3 years ago
3 0

Answer:

40%

Step-by-step explanation:

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Please help!!<br> Each pair of polygons is similar. Find the value of x.
Simora [160]

Answer in fraction form: x = 55/4

Answer in decimal form: x = 13.75

Both forms are equivalent, but they say it in a slightly different way.

===========================================================

Work Shown:

AC/QY = CD/YW

(x+5)/15 = 5/4

4(x+5) = 15*5

4x+20 = 75

4x = 75-20

4x = 55

x = 55/4

x = 13.75

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

Explanations:

  • The first step is possible because the polygons are similar. Similar figures have their corresponding sides be in the same proportion or ratio. Note how side AC has the double red angle (at point A) and a single red angle (point C). The side QY has the same idea in the same order. This is why AC corresponds to QY. The ratio AC/QY is the same as CD/YW.
  • In the second step, I plugged in the expressions that the diagram shows. This is the substitution property.
  • On step 3, I cross multiplied. The general format is A/B = C/D cross multiplies to A*D = B*C.
7 0
3 years ago
Read 2 more answers
A quadrilateral has congruent diagonals. It is probably a( n) ______.
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<span>A quadrilateral has congruent diagonals. It is probably a <u>Square</u></span>
7 0
3 years ago
The angles of a triangle are 80º, 2x + 2º, and 5xº. What is the value of x?
Gekata [30.6K]
Since the sum of the angles of a triangle = 180°

Then  <span>80º + (2x + 2)º + 5xº  = 180</span>°
                          82° + (7x)° = 180°
                                    (7x)° = 180° - 82°
                                        x   =  98° ÷ 7
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Find the distance between (3,4) and (4,7)
horsena [70]
The square root of 10. The first answer
6 0
3 years ago
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Solve the systems of equations through elimination, show work<br> 3+2x-y=0<br> -3-7y=10x
Wittaler [7]

Answer: x=-1 y=1

Step-by-step explanation:

solve y in 3+2x-y=0

y=3+2x

sub y=3+2x into -3 -7y=10x

-14x- 24= 10x

solve x in -14x-24=10x

x= -1

sub x= -1 into y =3+2x

y=1

so therefore x= -1 and y=1

7 0
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