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Rasek [7]
3 years ago
12

Instructions: The polygons in each pair are similar. Find the missing side length.

Mathematics
1 answer:
loris [4]3 years ago
3 0

Answer:

missing side length is 12

Step-by-step explanation:

similar means that all correlating pairs of sides have the same ratio (old side length) / (new side length).

so, when we know the ratio of one pair, we can apply it to any other side to calculate the correlating side.

we see, when we go from small to large, that we have the ratio 32/40 = 4/5.

so, multiplying the larger side by this, we get the shorter side.

15 × 4/5 = 3 × 4 = 12

the proportion part in your picture is a bit confusing :

yes,

x/15 = 32/40 = 32/40

I don't know, why this last expression was repeated.

x/15 = 32/40

x = 15×32/40 = 15×4/5 = 3×4 = 12

as you see we get of course the same result doing it that way.

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What does the equation 7x^2-3y^2-x+2y+4=0 represent
Romashka [77]

Answer:

Circle

Step-by-step explanation:

because a hyper bole is (y-k) 2b2 -(x-h) 2a2=1

ellipse is = (x-h) 2a2 + (y-k) 2b2 = 1

parabola is y= a (x-h) 2+ k

that's why circle is the answer

8 0
2 years ago
PLEASE HELP!!!
pogonyaev

Step-by-step explanation:

Part A:

Let m be the number of mittens and s be the number of scarves. Then we have the inequalities:

s+m\leq 30. <em>This says Nivyana and Ana cannot make more than 30 scarves</em>

50s+25m\geq 1000. <em>This says that</em> <em>Nivyana and Ana have to earn at least $1000.</em>

Part B:

The graph is attached.

Notice that the graphs of the inequalities are solid lines, this just means that the points on these lines included to the solutions of each inequality.

The darker shaded region and the solid lines bounding it, are the solutions to the inequalities because that's where the values common to both inequalities are found.

Part C:

From the graph we get two possible solutions:

15 scarves & 10 mittens

25 scarves & 5 mittens.

These two points lie on the solid lines that bound the darker shaded region<em> (I picked those points to stress that the lines bounding the dark region are also solutions.)</em>

8 0
3 years ago
Hawa just accepted a job at a new company where she will make an annual salary of $44000. Hawa was told that for each year she s
Margarita [4]

Answer:  13

Step-by-step explanation:

234grf  im doing this for fre points

3 0
3 years ago
The length of a rectangle is eight feet more than its width. The area of the rectangle is six hundred nine square feet. What are
vodomira [7]
You can write two equations using the given information:
.. L = W +8
.. L * W = 609
Using substitution, you get a quadratic.
.. (W +8) * W = 609
.. W^2 +8W -609 = 0
Not surprisingly, you're looking for factors of 609 that differ by 8.
.. 609 = 1*609 = 3*203 = 7*87 = 21*29
The last two are the factors of interest.
.. (W +29)(W -21) = 0

The width of the rectangle is 21 feet, the length is 29 feet.

_____
Sometimes it is easier to work with the average dimension. Here, let that be x. Then you have
.. (x +4)(x -4) = 609
.. x^2 -16 = 609
.. x^2 = 625 = 25^2 . . . . . . . one of your memorized math facts
So, the dimensions are
.. 25 +4 = 29 by 25 -4 = 21, that is, 29 ft by 21 ft.
5 0
3 years ago
What is the value of the function at x=3
Damm [24]

Answer:

4

Step-by-step explanation:

Since the line of the function is passing through the point (3, 4).

Here x = 3 and y = 4

So the value of the function at x=3 is 4.

4 0
3 years ago
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