Since angle A = Angle B, I believe you would write it out like this:
6x+12=3x+63
subtract 3x from both sides, then subtract 12 from both sides.
3x=51
divide 51 by 3 to find x.
x=17
Now to find the measure of angle A.
A = 6(17)+12
A = 102+12
A = 114, angle A is 114 degrees.
Answer:
K = (3,3)
After a reflection across the x axis (Vertical reflection), the coordinate becomes (3, -3)
Let me know if this helps!
Using the percentage concept, it is found that 60% of the students voted to donate a telescope.
<h3>What is a percentage?</h3>
The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
In this problem:
- The total amount is the number of students, which is of b = 500.
- 300 voted to donate, hence a = 300.
The <em>percentage </em>is given by:
60% of the students voted to donate a telescope.
More can be learned about the percentage concept at brainly.com/question/10491646
Rewrite
(4)(3.63) * (10^4)(10^-4)
multiply
14.52 * (10^4)(10^-4)
multiplication of the coefficient is the addition of the exponent
so 4 -4 is 0
14.52
Hope this helps :)
Answer:
Step-by-step explanation:
Since the noise level of a lawn tractor is approximately
normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - u)/s
Where
x = the noise level
u = mean noise level
s = standard deviation
From the information given,
u = 100 decibels
s = 3 decibels.
We want to find the probability that a randomly selected lawn tractor will generate a noise level of
more than 105 decibels. It is expressed as
P(x > 105) = 1 - P(x ≤ 105)
For x = 105,
z = (105 - 100)/3 = 1.67
Looking at the normal distribution table, the probability corresponding to the z score is 0.9525
P(x > 105) = 1 - 0.9525 = 0.0475
