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NARA [144]
3 years ago
8

What number is a factor of all the numbers 45 60 78 84 99

Mathematics
2 answers:
lions [1.4K]3 years ago
5 0
           45=3*3*5
60=2*2*3*5
78=2*3*13
84=2*2*3*7
99=3*3*11

common number is 3

factor is 3
spin [16.1K]3 years ago
4 0
The common factor is 3. 
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I need an answer soon, please! Whoever answers first will get Brainliest!!! Please no troll answers!
Colt1911 [192]

Answer:

x = 8, and y = 12

Step-by-step explanation:

There are 2 variables, so you need 2 equations to form a system of equations in two variables.

The upper left triangle has all angle measures given: 100, 2x + y, 5x + y. We know that the sum of the measures of the angles of a triangle is 180.

First equation:

100 + 2x + y + 5x + y = 180

Simplify:

7x + 2y = 80     (First equation)

Now we see that the upper and lower sides are parallel, so alternate interior angles are congruent. The angles measuring 2x + y and 5x - y are alternate interior angles and are congruent.

Second equation:

2x + y = 5x - y

Simplify:

3x - 2y = 0    (Second equation)

Now we use the first equation and the second equation as a system of simultaneous equations to solve for x and y.

7x + 2y = 80

3x - 2y = 0

Solve the second equation for 2x.

3x = 2y

Now replace 2y in the first equation with 3x.

7x + 3x = 80

10x = 80

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Replace x with 8 in the second equation.

3(8) - 2x = 0

24 = 2x

x = 12

Answer: x = 8, and y = 12

8 0
3 years ago
Read 2 more answers
A student formed a pattern in which each term is represented by a sum. The first four terms of the pattern are shown below
Rainbow [258]
N^2 should be the correct answer. Based on those numbers, it appears that the sum can be found by squaring the term n
5 0
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Help please! I already know the answer isn't -2, -1 so I need help figuring out the rest!
Lelu [443]

the function is increasing from x = 0 to x = 1

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this shows an increase of +6, so we know this statement is true

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hope this helps!!

8 0
2 years ago
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Nadya [2.5K]

Answer:

a = 6

b = 7

Step-by-step explanation:

Since both 36 and 49 are perfect squares, you can find their square roots which are 6 and 7.

To check to see if it is correct, replace the a with 6 and replace the b with 7, then evaluate the exponents.

8 0
2 years ago
Which of the following statements are true of the graph of the function f(x)=(x+5)(x-3)?
musickatia [10]
You can use a calculator for this if you have the graphing kind (I use a Ti-84) and when plugging the equation in, the answers should be b, d, and e 
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