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soldi70 [24.7K]
3 years ago
8

A copy machine can print 480 copies every 4 minutes. How many copies can it print in 10 minutes?

Mathematics
2 answers:
Irina-Kira [14]3 years ago
6 0

Step-by-step explanation:

So you need to figure out how much it can print in 1 minute. You can find that out by dividing 480 by 4. You get 120 which you then multiple by 10.

So the answer is 1,200

labwork [276]3 years ago
3 0

Answer:

10x120=1,200 That will be your answer.

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3. Diego drew a scaled version of a Polygon P and labeled it Q.
bogdanovich [222]

Answer:

The scale factor used to go from P to Q is 1/4

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x -----> area of polygon Q

y -----> area of polygon P

z^{2}=\frac{x}{y}

we have

y=72\ units^2

Find the area of polygon Q

Divide the the area of polygon Q in two triangles and three squares

The area of the polygon Q is equal to the area of two triangles plus the area of three squares

see the attached figure N 2

Find the area of triangle 1

A=(1/2)(1)(2)=1\ units^2

Find the area of three squares (A2,A3 and A4)

A=3(1)^2=3\ units^2

Find the area of triangle 5

A=(1/2)(1)(1)=0.5\ units^2

The area of polygon Q is

x=1+3+0.5=4.5\ units^2

Find the scale factor

z^{2}=\frac{x}{y}

we havey=72\ units^2

x=4.5\ units^2

substitute and solve for z

z^{2}=\frac{4.5}{72}

z^{2}=\frac{1}{16}

square root both sides

z=\frac{1}{4}

therefore

The scale factor used to go from P to Q is 1/4

6 0
2 years ago
In the adjoining figure, XY = XZ . YQ and ZP are the bisectors of <img src="https://tex.z-dn.net/?f=%20%5Cangle" id="TexFormula1
svetlana [45]

Answer:

See Below.

Step-by-step explanation:

Statements:                                              Reasons:

1)\, XY=XZ                                              Given

2) \text{ $ m\angle Y= m\angle Z$}                                        Isosceles Triangle Theorem

\displaystyle 3) \text{ $m\angle Y=m\angle XYQ + \angle QYZ$}                  Angle Addition

\displaystyle 4)\text{ $YQ$ bisects $\angle XYZ$}                               Given

5) \text{ $m\angle XYQ=m\angle QYZ$}                           Definition of Bisector

\displaystyle 6)\text{ $m\angle Y=2m\angle QYZ$}                               Substitution

7)\text{ $m\angle Z=m\angle XZP+m\angle PZY$}              Angle Addition

8)\text{ $ZP$ bisects $\angle XZY$}                              Given

\displaystyle 9) \text{ $m\angle XZP=m\angle PZY$ }                          Definition of Bisector

\displaystyle 10) \text{ $ m\angle Z = 2m\angle PZY $}                            Substitution

11)\text{ } 2m\angle QYZ=2m\angle PZY                    Substitution

12)\text{ }m\angle QYZ=m\angle PZY                        Division Property of Equality

13)\text{ } YZ=YZ                                         Reflexive Property

14)\text{ } \Delta YZP\cong\Delta ZYQ                             Angle-Side-Angle Congruence*

15)\text{ } YQ=ZP                                         CPCTC

*For clarification:

∠Y = ∠Z

YZ = YZ (or ZY)

∠PZY = ∠QYZ

So, Angle-Side-Angle Congruence:

ΔYZP is congruent to ΔZYQ

5 0
3 years ago
Read 2 more answers
Please help me tahank you so much
STALIN [3.7K]
We know that a triangle adds up to 180 degrees.

Here, 130 is a vertical angle so on the opposite side the triangle makes, it is also 130. Then we could add 130 to 25

130 + 25 = 155

Now let’s subtract this from 180.

180 - 155 = 25.

X is a supplementary angle to 25 so subtract 25 from 180.

180 - 25 = 155

X = 155.
4 0
2 years ago
A rectangle has a length of 6 cm and a width of 3 cm. Each side is doubled in length. What is the ratio of the areas of the two
jeka57 [31]
The ratio of original to new is 1:4
5 0
3 years ago
Hellpme now thanks youu uuuuuuuuuuuuuuuuuuuuuuuuuuu
Lana71 [14]

Answer:

answer is 80

Step-by-step explanation:

7200 / 90 = 80

4 0
2 years ago
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