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gogolik [260]
3 years ago
10

What is the scale factor for the set of similar figures? Type in your answer as a decimal.

Mathematics
1 answer:
BaLLatris [955]3 years ago
7 0
<span>to find the scale factor, the main formula which is used for solving such a problem is as follow: If the initial shape is greater than the final's, so we use SF=SL / LL. SF= scale factor, SL=Smaller length, LL= Larger legth. According to our case, the smaller length is SL=6mm, and the Larger length is LL=15mm, so SF=6mm/15mm=2/0.4mm.The answer is SF=0.4mm</span>
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Draw the graphs of the equations x – y = 1 and 2x + y = 8. Shade the area bounded by these two lines and y-axis. Also, determine
NikAS [45]

Answer:

Using Geometry to answer the question would be the simplest:

Step-by-step explanation:

Remembering the formula for the area of a triangle which is A=\frac12bh. One can then tackle the question by doing the following:

Step 1 Find the y-intercepts

The y-intercepts are found by substituting in x=0.

Which gives you this when you plug it into both equations:

-y=1\\y=-1\\y=8

So the y-intercepts for the graphs are (0,-1)\\, and (0,8) respectively.

Now one has to use elimination to solve the problems by adding up the equations we get:

x-y=1\\2x+y=8\\3x=9\\x=3

Now to solve for the y component substitute:

2(3)+y=8\\y=2

Therefore, the graphs intersect at the following:

(3,2)

Now we have our triangle which is accompanied by the graph.

now to solve it we must figure out how long the base is:

b=8-(-1)\\b=9

The height must also be accounted for which is the following:

h=3

Now the formula can be used:

A=\frac12bh=\frac12(9)(3)=\frac{27}2\ \text{units}^2

7 0
3 years ago
Read 2 more answers
How do u do this promble
kupik [55]

Answer:

x = 10

Step-by-step explanation:

The total measures of a circle must add up to 360°.  In the diagram given there are two angles that are not given, however, both of these should be equal to each other.  That means that the sum of the other two angles ('5x - 5' and 93°) must be equal to the other angle of the same measure (138°):

5x - 5 + 93 = 138

Combine like terms: 5x + 88 = 138

Subtract 88 from both sides: 5x + 88 - 88 = 138 - 88 or 5x = 50

Divide by 5:  5x/5 = 50/5 or x = 10


7 0
3 years ago
Hey, the question is in the pic.
nikklg [1K]
The answer would be A

7 0
3 years ago
Expand &amp; simplify<br>(x + 1)(x + 1)​
Vinvika [58]

Answer: x^2+2x+1

Step-by-step explanation:

3 0
3 years ago
Express 5x - 2y - 12 = 0 in y=mx + b form and state the slope and y-intercept
dangina [55]

Answer:

Step-by-step explanation:

5x-2y-12=0

5x-2y+12-12=0+12

5x-2y=12

5x-5x-2y=12-5x

-2y=12-5x

(-2y)/-2=(12-5x)/-2

y=5/2x-6

slope= 5/2x up 5 over 2

y-intercept is -6

3 0
2 years ago
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