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olya-2409 [2.1K]
3 years ago
10

10 points

Mathematics
1 answer:
Vinil7 [7]3 years ago
6 0
Real and rational and integer?
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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>.

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

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.

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

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>

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

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).

3 0
2 years ago
Find the mode of the following: 75, 93, 89, 75, 84
liberstina [14]

Answer:

75

Step-by-step explanation:

The mode is the number that appears most often. Because 75 appears twice and the other numbers only appear once, it is the most used number.

4 0
3 years ago
Read 2 more answers
State whether the following number is divisible by 2,5, or 10. 215
adoni [48]

Answer

215 can only be divided by 5

4 0
3 years ago
Three students were given the expression shown and were asked to take a common factor out of two of the terms. Use the drop-down
Tomtit [17]

Answer:

Calvin: incorrect, sign error

Greg: incorrect, has no relationship to the given expression

Ruben: incorrect, sign error

Equivalent expression: 7 92(4x -11)

Step-by-step explanation:

I hope this helps you :)

<em><u>-KeairaDickson</u></em>

3 0
3 years ago
Plz, help me I will give you a brainlist and Extra points. If you help me.
stiv31 [10]

Answer:

B) (4/9 x 20)-3

8 0
3 years ago
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