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stepan [7]
3 years ago
15

The greatest common factor of 135, 225, and 45

Mathematics
1 answer:
SashulF [63]3 years ago
3 0
The greatest common factor is 9.  All of the numbers are divisible by 9.
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Given: ∠A is a straight angle. ∠B is a straight angle.
choli [55]

Given: ∠A is a straight angle. ∠B is a straight angle.

We need to Prove: ∠A≅∠B.

We know straight angles are of measure 180°.

So, ∠A and <B both would be of 180°.

It is given that ∠A and ∠B are straight angles. This means that <u>both angles are of 180°</u> because of the <u>the definition of straight angles</u>. Using <u>the definition of equality</u>, m∠A=m∠B . Finally, ∠A≅∠B by <u>definition of congruent. </u>

7 0
3 years ago
Read 2 more answers
In remodeling a kitchen, a builder decides to place a splash-guard behind the sink consisting of eight 6-inch-square ceramic til
oksano4ka [1.4K]

Answer:

(a) 0.4242

(b) 0.0707

Step-by-step explanation:

The total number of ways of selecting 8 herbs from 12 is

\binom{12}{8}=495

(a) If 2 herbs are selected, then there are 8 - 2 = 6 herbs to be selected from 12 - 8 = 10. The number of ways of the selection is then

\binom{10}{6}= 210

Note that this is the number of ways that both are included. We would have multiplied by 2! if any of them were to be included.

The probability = \dfrac{210}{495}=0.4242

(b) If 5 herbs are selected, then there are 8 - 5 = 3 herbs to be selected from 12 - 5 = 7. The number of ways of the selection is then

\binom{7}{3}= 35

This is the number of ways that both are included. We would have multiplied by 5! if any of them were to be included. In that case, our probability will exceed 1; this implies that certainly, at least, one of them is included.

The probability = \dfrac{35}{495}=0.0707

6 0
2 years ago
Solve the system by graphing . Check your solution . Attach your graph in the file upload
beks73 [17]
Here! :) i hope this helps bunny!

6 0
3 years ago
What is the difference between -4=7 vs 5=5
KiRa [710]

Answer:

{-4 = 7, 5 = 5} = {False, True}

Step-by-step explanation:

3 0
3 years ago
A fitness club charges $25 per month as well as a one-time $80 fee of all new members which equation represents the cost in doll
madam [21]

Answer: So if you want to find the total cost (c) for a certain number of months (m) and it costs $35 per month, you just need to multiply the number of months by the cost per month. So

35m=c

If you want to see the units cancel

($35/month)(months)=$

The months will cancel out, and you will be left with total dollars.

Not sure about the second part of your question, but if you wanted to figure out how much it would cost to be a member for 6 months, you would just plug in 6 for m.

35(6)=c

c=210

So $210

Step-by-step explanation:

4 0
3 years ago
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