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miss Akunina [59]
3 years ago
6

Two angles of a triangle measure 22 and 53. What is the measure of the third angle?

Mathematics
1 answer:
telo118 [61]3 years ago
3 0
All angles add to 180 (interior angles)

22+53+?=180
75+?=180
minus 75 both sides
?=105

third angle is 105 degrees
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Step-by-step explanation:

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GenaCL600 [577]

Answer:

Yumiko should multiply the other equation by 3.

If she adds the two equations she would be left with the variable 'x'.

Step-by-step explanation:

Given the two equations are as follows:

$ 2x - 3y = 12 \hspace{5mm} \hdots (1) $

$ 5x + 6y = 18 \hspace{5mm} \hdots (2) $

It is given that she multiplies the first equation by 6. Therefore, (1) becomes

$ 12x - 18y = 72 \hspace{15mm} \hdots (a) $

Now, note that the sign of the variable 'y' is negative. So, if we make the co-effecient of 'y' equal in both the cases, add them it would result in the elimination of the variable 'y'.

The co-effecient of y in Equation (2) is 6. To make it 18 like it is in Equation (1), we multiply throughout by 3.

Therefore, Equation (2) becomes:

$ 15x + 18y = 54 \hspace{5mm} \hdots (b) $

Now, we add Equation (a) and Equation (b).

$ \implies 12x - 18y + 15x + 18y = 72 + 54 $

$ \implies 27x = 126 $

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Equation: 27x = 126

7 0
3 years ago
Find the ranges of these numbers 35 45 30 45 70
serg [7]

Answer:

The range is 40.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Since this is a ratio problem we can simply use the rule of three to solve it. We need to multiply the diagonal values and divide by the remaining value to get the variable which in this case is x (how much life he has already lost)

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Finally, we can see that Farid has lost 0.6666 or \frac{1}{3} in those 10 minutes

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