Answer:
x = 7
Step-by-step explanation:
Because this is a right triangle, one angle is a right angle (90°). All triangles have all three angle measures adding up to 180°, so the other two angles' measures add up to 90° (90 + 90 = 180).
Combine like terms of the angle measures.
6x + 9x = 15x
-3 + (-12) = -15
15x - 15
Because the sum of the measures of the two angles have to equal 90,
15x - 15 = 90
Add 15 from both sides.
15x = 105
Divide both sides by 15.
x = 7
To check, substitute 7 in both expressions.
6(7) - 3 = 39
9(7) - 12 = 51
39 + 51 + 90 (the measure of the right angle) = 180, so the value of x is 7.
I hope this helped :)
A. $90
150 x .40= 60
150-60=90
Answer:
16.25% was spent on food
Step-by-step explanation:
Step one
given data
A family spends $520 every month on food
The family's income is $3200 Monthly
Required
We want to find the percentage of the income spent on food only
Step two
percentage spent on food= amount spent on food/income*100
percentage spent on food= 520/3200*100
percentage spent on food= 0.1625*100
percentage spent on food= 16.25%
=16.25%
For this case, the first thing you should do is define a variable.
We have then:
x: number of passengers remaining who can board the plane.
We have as data:
1) They can board up to 149 passengers
2) There are 96 passengers currently aboard.
Writing inequality we have:
Answer:
An inequality that can be used to determine how many more people can board is:
You can use trigonometry and the tangent to get:
tan(11°)=150/x
so x=772 ft