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klio [65]
2 years ago
11

Are Triangles similar?

Mathematics
1 answer:
kvasek [131]2 years ago
4 0

Given:

A figure of triangles.

To find:

Whether the triangles SPT and triangle QPR are similar.

Solution:

In triangle SPT and triangle QPR,

\angle PST\cong \angle PQR           (Given)

\angle SPT\cong \angle QPR           (Common angle)

In triangles SPT and triangle QPR, two corresponding angles are congruent. So, by AA property of similarity both triangles are similar.

\angle SPT\sim \angle QPR

Therefore, yes, the triangle SPT and triangle QPR similar. Option A is correct.

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Step-by-step explanation:

I just answered this question and got it right.

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on the first day of a trip, Ricky drove 800 miles in 20 hours. At that rate, how many miles did he drive in 1 hour?
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We are trying to find miles/hour, which shows that we are going to be dividing the total number of miles by the total number of hours. Thus, in this case, the miles/hour rate will be:

\dfrac{800 \,\textrm{miles}}{20 \,\textrm{hours}} = 40 \dfrac{\textrm{miles}}{\textrm{hour}}


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3 years ago
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The students at a High School earned money for an international animal rescue foundation. 82 seniors earned an average $26.75 pe
Anon25 [30]

Answer: A. $16.13

Step-by-step explanation:

Total students = 82+74+96+99 =351

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Total earnings =  $2193.5  + $906.5+  $1488 +$1074.15

= $5662.15

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= $5662.15÷ 351

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4 0
3 years ago
Jayce and Rylee are selling candy bars for a school fund raiser. Rylee sold 84 candy bars and raised $210. If Jayce raised $70 h
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7 0
2 years ago
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If u work it out then i will give lots of brinilets (pls show workings out)<br> :P
hammer [34]

Answer: The winning order is:

Spike

Boris

Percival.

Step-by-step explanation:

We can write the number of steps that each one did as linear relationships of the form:

y = a*x + b

where:

a represents the slope, in this case, is the velocity of each kid.

x represents the time

b represents the steep at which each one starts.

We know that the race is completed with 99 steps.

Now, we know that in one unit of time (we do not know how long this is, and this does not matter).

Boris can run 5 steps in one unit of time

Spike can run 4 steps in one unit of time

Percival can run 3 steps in one unit of time.

Now let's write the equations for each one.

B(x) will be Boris's equation, we know that he starts from the bottom, then his equation is:

B(x) = 5*x + 0

B(x) = 5*x

Now we can find the number x needed to reach the 99 step, this is:

B(x) = 99 = 5*x

99/5 = x = 19.8

Boris needs 19.8 units of time to finish the race.

S(x) will be the equation for Spike, we know that he starts 21 steps up, then his equation is:

S(x) = 4*x + 21

Let's find the value of x such that S(x) = 99

S(x) = 99 = 4*x + 21

99 - 21 = 4*x

78 = 4*x

78/4 = x = 19.5

So Spike needs 19.5 units of time to finish the race, so he needs less time than Boris, this means that he finishes before Boris.

P(x) is the equation for Percival, we know that he starts 38 steps up, then his equation is:

P(x) = 3*x + 38

Again, we want to find the value of x such that P(x) = 99

P(x) = 99 = 3*x + 39

99 - 38 = 3*x

61 = 3*x

61/3 = x = 20.33

So Percival needs 20.33 units of time to finish the race, he is the one that needs more time, so he will be the last one to finish.

The winning order is:

Spike

Boris

Percival.

3 0
3 years ago
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