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Masja [62]
3 years ago
14

What is the scale factor of triangle ABC to triangle XYZ?

Mathematics
1 answer:
Alex3 years ago
5 0

9514 1404 393

Answer:

  C.  6

Step-by-step explanation:

XY/AB = 30/5 = 6

Triangle ABC is scaled by a factor of 6 to make triangle XYZ.

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If the sum of $1! + 2! + 3! + \cdots + 49! + 50!$ is divided by $15$, what is the remainder?
kompoz [17]

Answer:

  3

Step-by-step explanation:

All factorials 5 and above are evenly divisible by 15, so have no remainder. Thus, you are interested in ...

  mod(1! +2! +3! +4!, 15) = mod(1 +2 +6 +24, 15)

  = mod(33, 15) = 3

The remainder is 3.

3 0
3 years ago
The product of two consecutive positive integers is 29 more than their sum. Find<br> the integers
ValentinkaMS [17]

Answer:

6 and 7

Step-by-step explanation:

6 plus 7 is equivalent to 13 and 6 times 7 is equivalent to 42.  13 plus 29 is equivalent to 42.

6 0
3 years ago
Which angle must also measure 85°?<br><br> _2<br> _5<br> _11<br> _12
Semmy [17]
_11 is the answer Fr
6 0
3 years ago
One hose can fill a small swimming pool in 65 minutes. A larger hose can fill the pool in 35 minutes. How long will it take the
tatuchka [14]

Answer:

22.75 minutes or 22 minutes 45 seconds

Step-by-step explanation:

Okay, this is a working together question. Let’s walk through it together!

Firstly, let’s say the total volume of the swimming pool is x sq.meters

Now, the rate of the smaller hose would be x/65 while that of the larger will be x/35

Now, their combined rate would be x/65 + x/35 = 100x/2275

Now, since the volume is x, the time taken is simply, the volume divided by the joint rate. That is mathematically equal to x divided by 100x/2275

x * 2275/100x = 2275/100 = 22.75 minutes or 22 minutes 45 seconds

8 0
3 years ago
Give the sum in simplest form: a/c + b/c = _____
djverab [1.8K]

Answer:

(a+b)/c

Step-by-step explanation:

a/c+b/c

since they have the same denominator you can add the numerator together

(a+b)/c

6 0
3 years ago
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