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mixas84 [53]
3 years ago
11

Justify why a/b x b/c x c/d x d/ e is equal to a/e when b,c,d, and e are not zero?

Mathematics
1 answer:
Nuetrik [128]3 years ago
5 0
When you multiply fractions, you multiply across, right? so, for example 5/7 times 4/9 will give you 20/63. So, if you do this to this problem, you will have abcd/bcde. but now you are able to cancel out the b and c and d. think of it like reducing. 5/10 is 1/2. Why? because if you reduce/factor out a 5, you get a 1 in the numerator and a 2 in the denominator. same thing here; you can factor out a b, c, and d(because they show up in both num. and denom. so what you are left with is a/e. Cheers!
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Find the angle that makes them supplementary.
Semmy [17]

Answer:

130,110,40,90,165

Step-by-step explanation:

supplementary angles add up to 180

so 180-50= 130

180-70=110

etc

7 0
3 years ago
Pls!!!!!!!!!!!!!!!!!!!!​
lesya692 [45]

Answer:

C

Step-by-step explanation:

The table shows a linear function.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (1, 3) and (x₂, y₂ ) = (2, 7) ← 2 ordered pairs from the table

m = \frac{7-3}{2-1} = 4, thus

y = 4x + c ← is the partial equation

To find c substitute any ordered pair into the partial equation

Using (1, 3), then

3 = 4 + c ⇒ c = 3 - 4 = - 1

y = 4x - 1 → C

3 0
3 years ago
What is the center of the circle that has a diameter whose endpoints are (9, 7) and (-3, -5)?
emmasim [6.3K]

Answer: OPTION B.

Step-by-step explanation:

Given the endpoints of the diameter of the circle, we  need to find the midpoint, which is the center of the circle.

The following formula is used to calculate the Midpoint:

M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Given the endpoints of the diameter of the circle:

(9, 7)\ and\ (-3, -5)

We can identify that:

x_1=9\\x_2=-3\\y_1=7\\y_2=-5

Then, we can substitute these values into the formula:

M=(\frac{9+(-3)}{2},\frac{7+(-5)}{2})\\\\M=(3,1)

Therefore, the center of the circle is: (3,1)

3 0
3 years ago
John has $6.10 in quarters and nickels in his pocket. If John has 34 coins in his pocket, how many of the coins are quarters?
Luden [163]
34 = q + n
6.1 = .25q + .05n

-1.7 = -.05q - .05n
6.1 = .25q + .05n

4.4 = .2q
q = 22

22 of the coins are quarters.
7 0
3 years ago
PLEASE HELP!! THANK YOU <3
Natalija [7]

Answer:

what did you need to know :(

3 0
3 years ago
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