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erastova [34]
3 years ago
15

Type the correct answer in each box. Use numerals instead of words. What is the y intercept of this quadratic function f(x)=-x*2

+10x-22
Mathematics
2 answers:
grandymaker [24]3 years ago
4 0

Answer:

Y-intercept is (0, -22)

Step-by-step explanation:

trasher [3.6K]3 years ago
3 0

Answer:

The Y-Intercept is -22

Step-by-step explanation:

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A radio station broadcasts programs and commericals 20 hours everyday. The ratio of the time spent on commercials to the program
Vanyuwa [196]
The answer is 4 hours

p -<span> the programming time
</span>c - time spent on commercials

<span>A radio station broadcasts programs and commercials 20 hours everyday:
p + c = 20

</span><span>The ratio of the time spent on commercials to the programming time is 1:4.
c : p = 1 : 4
p = c * 4 : 1
p = 4c

p + c = 20
p = 4c
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3 years ago
Help me jim! geometry homework
Maksim231197 [3]

Question 1

The angles 52 degrees match up. So if the sides are in proportion, then the triangles are similar.

Notice how 8/12 = 18/27 is a true equation. So the sides are in proportion to one another.

Therefore, the triangles <u>are similar</u>. I used the <u>SAS similarity theorem</u>.

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Question 2

Let's find the missing angle of the triangle on the right. For now, make that missing angle to be x.

Rule: For any triangle, the three angles always add up to 180

x+70+32 = 180

x+102 = 180

x = 180-102

x = 78

The missing angle of the triangle on the left is 78 degrees

Repeat for the other triangle as well

y+78+32 = 180

y+110 = 180

y = 180-110

y = 70

Both triangles have the angles 32, 70, 78 in whatever order you wish.

Since the angles match up like this, <u>the triangles are similar</u> because of the <u>AA Similarity theorem</u>

Technically, we only need 2 pairs of congruent angles at minimum. But having 3 congruent pairs doesn't hurt either.

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Question 3

We have a pair of congruent 54 degree angles shown. There's another pair of angles at the very top that overlap (aka shared angles).

Since we have two pairs of congruent angles, <u>the two triangles are similar</u>.

This time we use the <u>AA Similarity theorem</u>

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Question 4

Let's divide the longest side of the bottom triangle by the longest side of the triangle on top

48/32 = 1.5

Now let's divide the shortest sides of each triangle in the same order

36/24 = 1.5

Repeat for the middle-most sides

45/30 = 1.5

We get the same linear scale factor 1.5 each time. Therefore, <u>the triangles are similar</u> due to the <u>SSS Similarity theorem</u>

================================================================

Question 5

Any angle is equal to itself due to the <u>reflexive property</u>. So that will go for reason number 2.

Reason 3 is <u>SAS similarity</u> because we have the sides in proportion (statement 1) and the angles are congruent (statement 2).

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Step-by-step explanation:

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