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2 years ago

How do the angle measures and side lengths compare in similar figures ?

Mathematics

2 answers:

xenn [34]2 years ago

8 0

Answer:

Matching sides of two or more polygons are called corresponding sides, and matching angles are called corresponding angles. If two figures are similar, then the measures of the corresponding angles are equal and the ratios of the lengths of the corresponding sides are proportional.

Step-by-step explanation:

Fudgin [204]2 years ago

5 0

Answer:

Step-by-step explanation:

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Solve the system of equations using substitution or elimination. Show all work for credit.

Tomtit [17]

Using substitution:
first you have to express one variable in terms of the other, in this we can express y in terms of x:
$y = \frac{ - \frac{1}{2} x + 2}{3} \\ y = - x + 9$

Since both expressions are equal to y, you have to equal both expressions like this:
$\frac{ - \frac{ 1}{2}x + 2 }{3} = - x + 9$
Now you can solve the equation:
$- \frac{1}{2} x + 2 = 3( - x + 9) \\ - \frac{ 1}{2}x + 2 = - 3x + 27 \\ \\ - \frac{1}{2} x + 3x = 27 - 2 \\ \frac{5}{2} x = 25 \\ x = \frac{(25)(2)}{5} \\ x = 10$
Knowing x=10, you can use any of the expressions we found before to find y. In this case I'm going to use y= -x+9 because it's simpler but boy should give you the same result

$y = - (10) + 9 \\ y = - 1$
So, the answer is x=10 and y=-1

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2 years ago

I need help does anyone know?

Nuetrik [128]

Answer:

$19.6

Step-by-step explanation:

He bought 6 video games and 1 dvd

We know that each video game costs $2.7 and each dvd costs 3.4

To get the sum = v x 6 + d x 1

= 2.7 x 6 + 3.4 x 1

= 16.2 + 3.4

= $19.6

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2 years ago

How many square inches of tin are needed to make the top of a can that is 10 inches in diameter? A) 62.8 in2 B) 78.5 in2 C) 227

Xelga [282]

Area of a circle = PI*radius^2
10 inch diameter = 5 inch radius
Area = PI* 5^2
Area = 78.5398163397 
Answer is B)

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3 years ago

Read 2 more answers

Find an equation in standard form of the parabola passing through the points (1, -2), (2,-2), (3,-4)

Yuliya22 [10]

The standard form of a parabola is y=ax²+bx+c
use the three given points to find the three unknown constants a, b, and c:
-2=a+b+c............1
-2=4a+2b+c......... 2
-4=9a+3b+c...........3
equation 2 minus equation 1: 3a+b=0..........4
equation 3 minus equation 2: 5a+b=-2.........5
equation 5 minus equation 4: 2a=-2, so a=-1
plug a=-1 in equation 4: -3+b=0, so b=3
Plug a=-1, b=3 in equation 1: -2=-1+3+c, so c=-4
the parabola is y=-x²+3x-4

double check: when x=1, y=-1+3-4=-2
when x=2, y=-4+6-4=-2
when x=3, y=-9+9-4=-4
Yes.

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2 years ago

In the figure, ABCD is a parallelogram and its area 15 48 cm". Find DM and DN.

matrenka [14]

More information is needed to solve the problem.

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2 years ago