MATHEMATICS MIDDLE SCHOOL

Given that DF/PR=FE/RQ=3/2, what additional information is needed to prove △DEF ~ △PQR using the SSS similarity theorem?A. DE ≅ PQ
B.C. DE/EF = 3/2
D. DE/PQ = 3/2

Answers

Answer 1

Answer:

Answer:

Option D.

Step-by-step explanation:

Given information: $(DF)/(PR)=(FE)/(RQ)=(3)/(2)$ .

We need to find the additional information which is needed to prove △DEF ~ △PQR using the SSS similarity theorem.

According to the SSS similarity theorem, two triangles are similar if their corresponding sides are proportional.

Using SSS similarity theorem, both △DEF and △PQR are similar if

$(DE)/(PQ)=(E F)/(Q R)=(DF)/(PR)$

If can be written as

$(DE)/(PQ)=(FE)/(RQ)=(DF)/(PR)$

It is given that $(DF)/(PR)=(FE)/(RQ)=(3)/(2)$ .

So, the additional information which is needed to prove △DEF ~ △PQR using the SSS similarity theorem is $(DE)/(PQ)=(3)/(2)$ .

Therefore, the correct option is D.

Answer 2

Answer:

Answer:

Step-by-step explanation:

22.0544

Step-by-step explanation:

3.2 × 6.892 = 22.0544

I'm always happy to help :)

Carmen measured a room to be 10 1/2 feet by 12 5/8 feet. What is the area of the room written as a decimal

Answers

Answer:

132.56

Step-by-step explanation:

Two of my digits are even, my last digit is odd, the sum of my digits is 11. I'm between 256 and 299, and I'm not 281. What am I?

Answers

ok so
2 digits even, last is odd
sum is 11
between 256 and 299
not 281

ok so we take 3 facts
sum is 11
between 256 and 299
2 are even

between 256 and 299, the first number is always 2
therefor
2+x+y=11
x+y=9
the other 2 numbers add up to 9
write all 2 ditgit numbers between 56 and 99 that add up to 9
63,72,81,90
not 281 so get rid of 81
and last diti is odd and first 2 are even so get rid of 72 and 90
therfor is it 63

263

You are 263.

Two of the digits are even. 2 and 6.

Last digit is odd. 3 is odd.

Sum of digits is 11. 2 + 6 + 3 = 11.

And 263 is between 256 and 299.

A pair of shoes originally cost $42 but is on sale for 33% off. What is the new price?

Answers

Simple...this is a discount problem.

To find the answer to this problem you can find the net price percentage of the shoes by doing...

100%-33%=67%

Now...multiply the original price by the net price percentage...

$42*0.67=$28.14

Thus, the shoes after the discount cost, $28.14

The shoes now cost 28.14. There are many ways of calculating your discount and final purchase price. One way is to multiply 42 dollars by 33 percent, and then divide the answer by one hundred, then subtract that result from the original price. If you follow these steps, you come up with your answer. You save 13.86.

I need help with this algebra question.
4 (x - b) =x

Answers

4 (x - b) = x Use the DIstributive Property [(4(x) - 4(b)]
4 x - 4b = x Add 4b to both sides
4x = 4b + x Subtract x from both sides
3x = 4b Divide both sides by 3
x = $(4b)/(3)$

Solve using the substitution method 3x+2y=11
X-2=4y

A(12,-5/2)
b (0,-1/2)
C (0,-2)
D (4,-1/2)

Answers

$\left \{ {{3x+2y=11\ \ \ \ \ \ \ } \atop {x-2y=4y\ \ | add\ 2y}} \right.\n\n \left \{ {{3x+2y=11} \atop {x=4y+2y}} \right.\n\nsubstitution\ method\n\n3(4y+2y)+2y=11\n\n3*6y+2y=11\n\n18y+2y=11\n\n20y=11\ \ \ | divide\ by\ 20\n\ny=(11)/(20)\n\nx=6y=6* (11)/(20)=(66)/(20)=(33)/(10)\n\n$