Answer: Two figures are said to be similar if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal.

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Please help?!

Anton [14]

Answer:

Δ PQT ~ Δ QRS .....{S-S-S test for similarity}...Proof is below.

Step-by-step explanation:

Given:

In Δ PQT

PQ = 30 ft

QT = 28 ft

TP = 20 ft

In Δ QRS

QR = 15 ft

RS = 14 ft

SQ = 10 ft

To Prove:

Δ PQT ~ Δ QRS

Proof:

First we consider the ratio of the sides

$\frac{PQ}{QR}=\frac{30}{15} = \frac{2}{1}$ ..............( 1 )

$\frac{QT}{RS}=\frac{28}{14} = \frac{2}{1}$ ..............( 2 )

$\frac{TP}{SQ}=\frac{20}{10} = \frac{2}{1}$ ..............( 3 )

So By equation ( 1 ), ( 2 ) and ( 3 ) we get

$\frac{PQ}{QR}=\frac{QT}{RS} = \frac{TP}{SQ}$

Now in Δ PQT and Δ QRS we have

$\frac{PQ}{QR}=\frac{QT}{RS} = \frac{TP}{SQ}$

Which are corresponding sides of a similar triangle in proportion.

∴ Δ PQT ~ Δ QRS .....{S-S-S test for similarity}...Proved

8 0

2 years ago

Three students are playing a game using the spinner above. Each student draws three boxes on a piece of paper. The spinner is sp

harina [27]

Answer:

Probability

Step-by-step explanation:

In this game, the players rely entirely on chance to win, rather than skill. Therefore, this game would be particularly useful in helping students' understanding of probability.

(Spoken from someone who played this exact game 2 years ago to learn about probability.)

5 0

2 years ago

Combine like terms. x^2y-3xy^2-6x^2y

balu736 [363]

The result after combining like terms is: $-5x^2y-3xy^2$

Step-by-step explanation:

Given expression is:

$x^2y-3xy^2-6x^2y$

The like terms are those terms with whom the variable or product of variables is same.

As in the given expression, first and third, both terms have x^2y so both terms are like terms

Combining like terms, means the indicated operation is performed on them

So,

Combining like terms:

$x^2y-6x^2y-3xy^2\\= -5x^2y-3xy^2$

Hence,

The result after combining like terms is: $-5x^2y-3xy^2$

Keywords: Expressions, polynomials

Learn more about polynomials at:

#LearnwithBrainly

3 0

2 years ago