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-BARSIC- [3]
3 years ago
9

Plz help all 3 i'll give brainiest if right.!!!

Mathematics
1 answer:
Andrew [12]3 years ago
7 0
A.) y= 5/4x+16
B.) 1.25 hours a day
You might be interested in
Question:
aivan3 [116]

Answer:

part A) The scale factor of the sides (small to large) is 1/2

part B) Te ratio of the areas (small to large) is 1/4

part C) see the explanation

Step-by-step explanation:

Part A) Determine the scale factor of the sides (small to large).

we know that

The dilation is a non rigid transformation that produce similar figures

If two figures are similar, then the ratio of its corresponding sides is proportional

so

Let

z ----> the scale factor

\frac{CB}{C'B'}=\frac{CD}{C'D'}=\frac{BD}{B'D'}

The scale factor is equal to

z=\frac{CB}{C'B'}

substitute

z=\frac{4}{8}

simplify

z=\frac{1}{2}

Part B) What is the ratio of the areas (small to large)?

<em>Area of the small triangle</em>

A=\frac{1}{2}(2)(4)=4\ units^2

<em>Area of the large triangle</em>

A=\frac{1}{2}(4)(8)=16\ units^2

ratio of the areas (small to large)

ratio=\frac{4}{16}=\frac{1}{4}

Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures

In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor

In similar figures the ratio of its areas is equal to the scale factor squared

4 0
3 years ago
What is the value of w?
Nonamiya [84]

Answer:

17

Step-by-step explanation:

4w = w + 51

3w = 51

w = 51 : 3

w = 17

4 0
2 years ago
Solve the system of equations using the substitution method.
Katena32 [7]
        4x+5y=7
         y=3x+9

1)      4x+5(3x+9)=7                 2)        y=3(-2)+9
                                                             y= -6 +9 
         4x+15x+45=7                               y=3                                                     
         19x+45=7
          19x= -38
             x= -2
x is -2 and y is 3
3 0
3 years ago
Mary rented a truck for one day. There was a base fee of $13.50, and there was an additional charge of 9 cents for each
marishachu [46]

Answer:

15.3 dollars

Step-by-step explanation:

13.50 + (.09 x 20 = 1.8)

13.50 + 1.8

5 0
2 years ago
What are the solutions of the equation 9x4 – 2x2 – 7 = 0? Use u substitution to solve.
Debora [2.8K]

Answer:

the answer is 25

Step-by-step explanation:

and you get it by multiplying 9×4 keep the answer on paper then do 2×2 which is 4 subtract the two answers and subtract 7 and then you get 25, your welcome

6 0
3 years ago
Read 2 more answers
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