7−4x+3=x−16−3x
Simplify
7−4x+3=x−16−3x
7+−4x+3=x+−16+−3x
(−4x)+(7+3)=(x+−3x)+(−16)(Combine Like Terms)
−4x+10=−2x+−16
−4x+10=−2x−16
Add 2x to both sides.
−4x+10+2x=−2x−16+2x
−2x+10=−16
Subtract 10 from both sides.
−2x+10−10=−16−10
−2x=−26
Divide both sides by -2.
−2x/−2=−26/−2
x=13
(9)
<em>x</em> ° = 1/2 (130° - 30°) = 50°
(due to a theorem about intersecting secants/tangents)
(11) The labeled angle subtends a minor arc of meaure 120°, which means the larger arc has a measure of 360° - 120° = 240°. Then
<em>x</em> ° = 1/2 (240° - 120°) = 60°
(due to the same theorem)
(13) The labeling here is a bit confusing. I'm not sure what the 70° is referring to. It occurs to me that it might be info from a different exercise, so that <em>y </em>° is the measure of the angle made by the tangent to the circle with a vertex of the pentagon, and <em>x</em> ° is the measure of each arc that passes over an edge of the pentagon.
Each arc makes up 1/5 of the circle's circumferece, so
<em>x</em> ° = 360°/5 = 72°
The pentagon is regular, so each of its interior angles have the same measure of 108°. (Why 108°? Each exterior angle measures 360°/5 = 72°, since the exterior angles sum to 360°. Interior and exterior angles are supplementary, so the interior angles measure 180° - 72° = 108° each.)
The angles formed by the tangent to the circle are supplementary, so that
<em>y</em> ° + 108° + <em>y</em> ° = 180°
2<em>y</em> ° = 72°
<em>y</em> ° = 36°
First of all, remember that 100% is one whole thing.
Then.look at the problem, and see that 90 is three times 30.
-- 90 is 300% <em><u>of</u></em> an entire 30 .
-- To go from 30 to 90, you have to increase the 30 <em>by</em> 200% of itself.
Well, you multiply 3 * 4 first, which is 12.
Then, multiply 12 * 6, which is 72. Finally, you just add 72 + 5,
And the answer is 77 / 6 as improper fraction.
Answer:
B.
Step-by-step explanation:
Since we are moving the graph f(x) to the right 2 and down 1 with a reflection over the x-axis, we modify <em>a</em>, <em>h</em>, and <em>k</em> in f(x) = a(bx - h)² + k:
We would get f(x) = -(x - 2)² - 1 as our answer.
