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balandron [24]
4 years ago
13

Triangle abc is similar to triangle FGH solve for p plebs.

Mathematics
1 answer:
12345 [234]4 years ago
5 0

The value of <em>p </em>is 21

Step-by-step explanation:

ΔABC ~ ΔFGH

\frac{ab}{fg}  =  \frac{bc}{gh}  \\  \frac{35}{p}  =  \frac{10}{6}  \\ p =  \frac{35 \times 6}{10}  \\ p =  \frac{210}{10}  \\ p = 21 \\  \\ or \\  \\  \frac{ab}{fg}  =  \frac{ac}{fh}  \\  \frac{35}{p}  =  \frac{30}{18}  \\ p =  \frac{35 \times 18}{30}  \\ p =  \frac{630}{30}  \\ p = 21

So, the value of <em>p</em> is 21

<em>Hope </em><em>it </em><em>helpful </em><em>and </em><em>useful </em><em>:</em><em>)</em>

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Colin put a pie in the oven at 1:35 p. M. He took the pie out at 2:17 p. M. How long was the pie in the oven?
bulgar [2K]

Answer:

42 minutes

Step-by-step explanation:

there are 60 minutes in one hour.

from 12 pm, 1 hour and 35 minutes have passed to get to 1:35 pm

from 12 pm, 2 hours and 17 minutes have passed to get to 2:17 pm

we are trying to figure out the start to end time, or the difference between the times

2 hours and 17 minutes - 1 hour and 35 minutes

1 hour = 60 minutes

if we convert everything to minutes we can get a definitive time in one single unit

2 hours = 1 hour * 2 = 60 minutes * 2 = 120 minutes

1 hour = 60 minutes

plug these in

(120 + 17) minutes - (60 + 35) minutes

= 137 minutes - 95 minutes

= 42 minutes as our answer

3 0
2 years ago
Tina's swimming lesson started at 5:30 P.M. and ended at 6:25 P.M. How long did the swimming lesson last?
Sergio039 [100]
55 minutyes my g thats right

5 0
4 years ago
Read 2 more answers
At Joe's Grocery, you can buy hot dogs only in packages of 4 or packages of 7. As a result, you can't buy exactly 9 hot dogs sin
Inessa05 [86]

Answer:

29

Step-by-step explanation:

Hot Dog packages

4 = 2 *2

7 = 1 * 7

To determine, the largest possible number of hot dogs that you can't get exactly by buying these hot dogs is to determine the LCM ( lowest common multiple of 4 and 7 ) and add 1 to it

LCM of 4 and 7  = 1 * 2 * 2 * 7  = 28

Highest number that combining 7 and 4 packages can't give = 28 + 1 = 29

5 0
3 years ago
Find the common difference in the arithmetic sequence where p35 =-9p + 4 and p28 = 5p - 17?
Sphinxa [80]
P(35) = -9p + 4 = -9(35) + 4 = -315 + 4 = -311
p(28) = 5p - 17 = 5(28) - 17 = 140 - 17 = 123

a + 34d = -311
a + 27d = 123

7d = -434
d = -62

Therefore, the commpm difference is -62.
6 0
3 years ago
the annual interest rate for jacks savings account increased from 2.8% to 4.1%. Describe the change as a relative change in term
densk [106]

Answer:

<u>The additional 1.3% of increase in the annual interest rate that Jack is receiving in his savings account, from 2.8% to 4.1%, represent an increase of 46.42%.</u>

Step-by-step explanation:

Jacks's savings account annual interest rate before = 2.8%

Jacks's savings account annual interest rate after the increase = 4.1%

Difference of the two rates = 4.1% - 2.8% = 1.3%

How much percentage is that additional 1.3% from the rate before the increase?

(1.3 * 100)/ 2.8 = 130/2.8 = 46.42%

<u>The annual interest rate increased by 46.42% from the previous annual interest rate.</u>

3 0
3 years ago
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