Answer:
x=12
Step-by-step explanation:
9x-14=2(3x+11)
9x-14=6x+22
9x-6x=22+14
3x=36
x=36/3=12
Answer:
100
Step-by-step explanation:
Remark
If two opposite arcs are given by being opposite vertically opposite angles, then the value of both the vertically opposite angles are equal to
Vertically opposite angle = 1/2 (arc1 + arc2)
Givens
Arc1 = 60
Arc2 = 100
Solution
The red dot angle = 1/2 (60 + 100)
The red dot angle = 1/2(160)
The red dot angle = 80
Because the red dot angle and <3 are on the same line with the same common point, they are supplementary.
<3 and red dot = 180
<3 + 80 = 180 Subtract 80 from both sides
<3 = 180 - 80
<3 = 100
Answer:
4
hours
i hope that helped
Step-by-step explanation:
Answer:
1..25a
Step-by-step explanation:
a + 25%·a = a(1 + 0.25) = 1.25a
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<em>Comment on percentages</em>
The symbol "%" is a shorthand way to write "/100", so 25% = 25/100 = 0.25.
Of course, 100/100 = 100% = 1.
Adding 25% of something to 100% of it gives 125% of it, the original amount multiplied by 125/100 = 1.25.
We need to solve the zeroes of the given expression x² - 13x + 30 = 0 and we need to apply zero product property.First, we need to identify the two numbers which will result to -13 when added and it will result to 30 when multiplied. These two numbers are -3 and -10. Then, we can proceed with the solution such as:
x² - 13x + 30 = 0
(x-3) (x- 10) =0
From above, we have already the two zero product:
x-3 = 0
x1 = 3
x-10 =0
x2 =10
The answers are x1 = 3 and x2 = 10.