To answer this item, we let x be the time for the faster plane and h be the distance traveled which is the same for both planes. Distance is calculated by multiplying speed and time. Thus,
(558)(x) = (496)(x + 0.5)
The value of x from the equation is 4.
No image shown but just remember that percentage is out of 100
0.03 is 3%
Answer:
A = 5x² + 6x + 1
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = h (a + b)
where h is the height and a, b the parallel bases, thus
A = (x + 1)(6x - 5 + 4x + 7)
= (10x + 2)(x + 1)
= (5x + 1)(x + 1) ← distribute using FOIL
= 5x² + 6x + 1
Angle-5 and angle-7 are 'vertical angles', so they're equal,
and we can write ...
<u>10x- 9 = 9x</u>
Subtract 9x from each side: x - 9 = 0
Add 9 to each side: <u> x = 9</u>
Now that we know what 'x' is, we can find the size of Angles-5 and -7 .
Angle-7 = 9x = 81° .
Now look at Angle-6 ... the one that's the answer to the problem.
Angle-6 and -7 together make a straight line, so they must
add up to 180°.
<u>Angle-6 + 81° = 180°</u>
Subtract 81° from each side: Angle-6 = <em>99° .</em>