Write the decimal 1,072.039 in words

TU = 3, RS = 15, TW = 4, TR = 9; Assume that the sides of triangle TUW are proportional to the sides of triangle TRS. What is th

VMariaS [17]

Answer:

$WS=8\ units$

Step-by-step explanation:

we know that

If two triangles are similar

then

the ratio of their corresponding sides are equal and the corresponding angles are also equal

In this problem

$\frac{TU}{TR}=\frac{UW}{RS}=\frac{TW}{TS}$

we have

$TU=3\ units, RS=15\ units, TW=4\ units,TR=9\ units$

Find the value of TS

$\frac{TU}{TR}=\frac{TW}{TS}$

substitute

$\frac{3}{9}=\frac{4}{TS}$

$TS=36/3=12\ units$

$WS=TS-TW$

$WS=12-4=8\ units$

see the attached figure to better understand the problem

3 0

2 years ago

Read 2 more answers

Seth is using the figure shown below to prove the Pythagorean Theorem using triangle similarity: In the given triangle PQR, angl

Naily [24]

Answer:

Part A: $\triangle RPQ \sim \triangle RSP$

Part B. All angles are same, so the triangles are similar.

Part C. RP = 8

Step-by-step explanation:

We are given a right angled triangle $\triangle RPQ$ with $\angle P = 90^\circ$ .

PS is perpendicular to the hypotenuse RQ of $\triangle RPQ$ and S lies on RQ.

Part A:

To identify the pair of similar triangles.

$\triangle RPQ \sim \triangle RSP$ .

Part B:

To identify the type of similarity.

Kindly refer to the image attached in the answer area.

Let us consider the triangles $\triangle RPQ \ and\ \triangle RSP$ .

$\angle RSP =\angle RPQ =90^\circ$

Also, $\angle R$ is common to both the triangles under consideration.

Now, we can see that two angles of two triangles are equal.

So, third angle of the two triangles will also be same.

i.e. All three angles of two triangles $\triangle RPQ \ and\ \triangle RSP$ are equal to each other.

So, by A-A-A (Angle - Angle - Angle) similarity, we can say that $\triangle RPQ \sim \triangle RSP$ .

Part C:

RS = 4

RQ = 16, Find RP.

There is one property of similar triangles that:

The ratio of corresponding sides of two similar triangles is equal.

i.e.

$\dfrac{RS}{RP} = \dfrac{RP}{RQ}\\\Rightarrow RP ^2 = RS \times RQ\\\Rightarrow RP ^2 = 4 \times 16\\\Rightarrow RP ^2 = 64\\\Rightarrow \bold{RP = 8\ units}$

5 0

2 years ago

Segment GH is the diameter of a circle. If point K is located on the circle, which of the following could be the measure of angl

Hoochie [10]

I think the answer is A not sure

6 0

1 year ago

Read 2 more answers

Suppose you borrowed $15,000 at a rate of 11.1% and must repay it in 5 equal installments at the end of each of the next 5 years

Elodia [21]

Answer:

The answer is $1,665.

Step-by-step explanation:

3 0

2 years ago

A family are going away for the weekend. They look at a road map to see where their hotel is. The scale used is 1 : 250,000 The

kirill [66]

Answer:

Answer: 21,250m or 21,25km.

Step-by-step explanation:

8.5cm times 250,000 = 2,125,000cm

1m = 100cm is 1cm = 0.01m

2,125,000cm = 2,125,000 times 0.01 = 21,250m

1km = 1,000m is 1m = 0.001km

21,250m = 21,250 times 0.001km = 21.25km

And you get your answer.

6 0

2 years ago

Read 2 more answers