Triangle QST is similar to triangle PQR
We are given that measure of angle SRP is 90°
Q is the point of the hypotenuse SP
Segment QR is perpendicular to PS and T is a point outside the triangle on the left of s
We need to find which triangle is similar to triangle PQR
So,
Using Angle - Angle - Angle Criterion We can say that
m∠PQR = m∠SQR (AAA similarity)
m∠SQR=m∠SQT (AAA similarity)
Where m∠Q =90° in ΔQST and PQR
Therefore ΔQST is similar to ΔPQR
Learn more about similarity of triangles here
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Answer: <u><em>The first no. is 6 and the second no. is 4.</em></u>
Step-by-step explanation: Let the 2 no. s be x and y respectively.
→x+ 2y = 14
<em>→x-y = 2 </em>
<em>∴ x = 2+y</em>
<em>y = y</em>
∴ x+2y=14
= 2+y+2y=14
3y=14-2
3y=12 , y = 12/3=4
∴y = 4
→x = 2+y
= 2+4=6
∴x=6
<u><em>Thus, the first no. is 6 and the second no. is 4.</em></u>
Answer:
Step-by-step explanation:
If the amounts earned from the sale of each item were the same, then both amounts were $2400/2 = $1200.
The number of balloons sold at $3 each was $1200/$3 = 400.
The number of banners sold at $4 each was $1200/$4 = 300.
400 balloons and 300 banners were sold.
___
<em>Check</em>
Total sales was ...
$3 × 400 + $4 ×300 = $1200 +1200 = $2400 . . . answer checks OK
Answer:
= 36000 caps
Step-by-step explanation:
First we need to figure out how many minutes between 8 am and 3:30 pm
There are 7 hours and 30 minutes.
1 hour = 60 minutes
Multiply each by 7
7 hours = 7*60 minutes = 420 minutes
So 7 hours 30 minutes = 420 + 30 = 450 minutes
Bottle caps = rate * minutes
= 80 caps/minute * 450 minutes
= 36000 caps
It should be B. 15.
I think ..