MATHEMATICS MIDDLE SCHOOL

State if the triangles in each pair are similar.If so, state how you know they are similar and complete the similarity statement.
A) similar; SAS similarity; ΔBAC
B) not similar
C) similar; SSS similarity; ΔABC
D) similar; SAS similarity; ΔABC
State if the triangles in each pair are similar. If - 1

Answers

Answer 1
Answer:

Answer:  The correct option is

(C)  similar; SSS similarity; ΔABC.

Step-by-step explanation:  We are given to check whether the pair of triangles in the figure are similar to each other or not.

If so, we are to complete the similarity statement.

From the figure, we note that

the lengths of the sides of triangle STU are

ST = 72, TU = 80 and SU = 56.

And, the lengths of the sides of triangle ABC are

AB = 27, BC = 30 and AC = 21.

So, we get

(ST)/(AB)=(72)/(27)=(8)/(3),\n\n\n(TU)/(BC)=(80)/(30)=(8)/(3),\n\n\n(SU)/(AC)=(56)/(21)=(8)/(3).

That is,

(ST)/(AB)=(TU)/(BC)=(SU)/(AC)=(8)/(3).

Therefore, the corresponding sides of the two triangles are proportional.

Hence, triangle ABC and STU are similar by SSS similarity.

Option (C) is CORRECT.  
Answer 2
Answer:

Answer:

Option C) similar; SSS similarity; ΔABC

Step-by-step explanation:

we know that

The SSS similarity state : If the corresponding sides of two triangles are proportional, then the two triangles are similar

In this problem

80/30=56/21=72/27

2.67=2.67=2.67 -----> is true

therefore

The triangles STU and ABC are similar by SSS similarity

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I need help with this 1st problem and if you can help me this one and with the other ones I will post them thx

is the area of a paperback book cover closer to 28 sqaure inches or 28 sqaure centimeters? tell how you decided

Answers

I would say 28 square inches. Imagine that we divide the number and we get 4 and seven. your average paperback book is about 4 inches wide and 7 inches tall. If we multiply it back, we get 28 square inches.
Hope it helps!
-Lacy
It would be centimeters becuase square inches is a very large area, much larger than a typical book. Therefore, the paperback book would most likely be 28 square centimeters

Own arranges 48 beads into an array. There are 6 rows of beads. How many columns are there.

Answers

Answer:

There will be 8 columns

Step-by-step explanation:

So first you get 48 and divide it by 6 then you get 8 as your answer

this cylindrical fish tank has a height of 36 inches and a a diameter of 30 inches what is the volume of the fish tank

Answers

First, you'll need to find the area of the base of the cylinder. Since the fish tank is a cylinder, its base is a circle, and you'll use \pi*r^2.

r=(1/2)d = (1/2)30 = 15 inches
\pi*15^2 = \pi*225 (We'll worry about multiplying by pi later; for now, this is good enough).

Then, to find the volume, you just multiply by the height of the fish tank.
\pi*225*36 = \pi*8100 = 25446.9005

The answer, then, is 25446.9005 cubic inches (or just 8100\pi cubic inches)

9*-0^2 is blank times as much as 3*10-^2

Answers

Explanation:

As I understand the question you have the following expressions given in scientific notation:

Expression A:

9*10^2

Expression B:

3*10^(-2)

So we need to compare both expression in order to know how much times is expression A bigger than B. So:

(9* 10^2)/(3* 10^(-2))=(9)/(3)*10^(2-(-2))=3* 10^4=30,000 \n \n \n *(a^n)/(b^m)=a^(n-m)

In conclusion 9*10^2 is 30,000 times as much as 3*10^(-2)

I-Ready How tall is Leon ?

Answers

Answer:

4 5/12 feet tall

Step-by-step explanation:

3/4  becomes 9/12

1/3 becomes 4/12

9 - 4 = 5

5/12

5 5/12

Answer:

1 5/12

Step-by-step explanation:

To subtract fractions, we must find a Common Denominator for the two fractions.

We can find a common denominator simply by multiplying the denominators by eachother.

4*3=12

3*4=12

Now we also have to multiply the numerator by what the denominator was multiplied by, so everything is equal.

3*3=9 so 9/12

1*4=4 so 4/12.

If Leons brother is 4 and 9/12 tall, we can multiply the denominator by the whole number and add it to the numerator to get an improper fraction. This makes it possible to subtract.

4*12=48 and dont forget to add the extra 9! Leons brother is 57/12 tall. Now just subtract.

57/12-4/12=53/12 or 4 and 5/12.

Leon is 4 and 5/12 tall.

Hope this helps!

Here are six number cards.-4 -2 -1 5 6 8
Arrange the cards into three pairs with the same total.
Note: Please write each pair on separate lines and
use the word 'and' between the numbers (eg. 7 and -3).

Answers

Answer:

See explanation

Step-by-step explanation:

The first pair is (-4 and 8)

Because if we add those two values, i. e., 8 + (-4), we will get 4.

Again, the second pair is (-2 and 6). In that case, if we also add those two values, that is, 6 + (-2), we will get 4.

Finally, the third pair is (-1 and 5). Again, we will add the two values. 5 + (-1) = 4.

In each case, we can see that the addition of each pair is 4.Therefore, the total is similar in each pair after arranging the cards.

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