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mars1129 [50]
3 years ago
14

State if the triangles in each pair are similar. Remember a) AA/SAS/SSS

Mathematics
1 answer:
Maslowich3 years ago
3 0
Start at point A as that is the first letter of the sequence ABC. The second letter is B so we'll record the length of segment AB, which is 4 units long.
Note how we have a segment that is also 4 units long in the other triangle; however, we won't use that one just yet. Instead, we'll go for the 2 unit segment. As it turns out, every piece of the triangle on the right side is half that of the left side triangle.
Segment ED is 2 units long. So AB and ED pair up
------------------------------
BC is 8 units long; DF is 4 units long (half of BC). So BC and DF pair up
I started at A, went to B, then to C in that exact order marking the side lengths of 4 and 8 respectively. At the same time for the other triangle, I started at E, moved to D, then to F recording the side lengths 2 and 4
So A pairs up with E, B pairs with D, and C pairs with F
Therefore, triangle ABC is similar to triangle EDF. The order is very important so that the points line up and correspond in the proper manner.
I used the SSS (side side side) similarity theorem to prove the triangles similar. This theorem says that if the sides are in proportion to one another, then the triangles are similar.
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Miguel borrowed $825 for a new couch. He will make 9 monthly payments of $95 to repay the loan. How much will he pay in interest
Leona [35]

Answer:

$30 is paid in interest.

Step-by-step explanation:

The couch costs $825 and Miguel will pay 9 * $95 = $855.  So the amount of interest paid is how much in total was paid $855 minuse the cost of the couch $825, or $855-$825 = $30 in interest

3 0
2 years ago
A grapefruit has a peel that is 1cm thick and a total diameter of 12cm. What percentage of volume of the grapefruit is the peel?
ira [324]

Answer:

0.3056 or 30.56%

Step-by-step explanation:

The volume of the grapefruit with the peel is:

V_p=\frac{4 \pi (d/2)^2}{3}\\V_p=\frac{4 \pi (12/2)^2}{3}\\V_p=48 \pi

When removing the peel, the grapefruit diameter becomes 10 cm (take out 1 cm of peel from each side). The volume of the grapefruit without the peel is:

V_n=\frac{4 \pi (d/2)^2}{3}\\V_n=\frac{4 \pi (10/2)^2}{3}\\V_n=33.333 \pi

The percentage of the volume correspondent to the peel is given by the difference between both volumes, divided by the total volume:

\%P = \frac{48\pi - 33.333\pi}{48\pi}\\ \%P =0.3056 = 30.56\%

30.56% of volume of the grapefruit is the peel.

4 0
3 years ago
What is the exact value for the expression the square root of 52− the square root of 13 + the square root of 117 ? Simplify if p
avanturin [10]

√52 -√13 +√117

= 2√13 -√13 +3√13

= 4√13 . . . . matches selection A

_____

√52 = √(4·13) = (√4)(√13) = 2√13

√117 = √(9·13) = (√9)(√13) = 3√13

8 0
3 years ago
Pleaseeee helppp answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
elena-s [515]

Answer:

45º

Step-by-step explanation:

diagonals bisect the corners of a square

the angle measure of the corners of a square is 90º

since the diagonal bisects the corners: 90÷2 = 45º

5 0
3 years ago
Please solve and explain the steps
Crazy boy [7]

Answer/Step-by-step explanation:

First isolate the variable.

-x+6≥10

  -6  -6

-x≥4

Divide by negative 1

x≥-4

So the answers would be -3.9, 4, -4, 3.9, 0, 7, 4.01

5 0
2 years ago
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