Go to the forth pic for your answer. I got problem 4 wrong but it shows the correct answer.
A)
Because the sum of angles in a triangle must equal 180° we can say:
62+α+90=180
α+152=180
α=28°
b)
Since all sides have equal length, all angles must have equal measure. (This is an equilateral triangle). And again, because the sum of the angle must be 180° we can say:
b+b+b=180
3b=180
b=60°
Answer:
<u>part</u><u> </u><u>1</u><u>:</u>
see in the picture, E is the centre of the kite
1) AC = 2.EC = 40
2) CD = sqrt( ED² + EC² ) = sqrt(21² + 20²) = 29
3) ABE = 90⁰ - 51⁰ = 39⁰
4) BCE = BAE = 51⁰
<u>p</u><u>a</u><u>r</u><u>t</u><u> </u><u>2</u><u>:</u>
we have:
3x + 7 = (3x - 1 + 8x)/ 2
<=> 3x + 7 = 5.5x - 0.5
<=> 2.5x = 7.5
<=> x = 3
5) with x = 3 => UV = 3.3 - 1 = 9 - 1 = 8
6) XY = 3.3 + 7 = 9 + 7 = 16
7) TW = 8.3 = 24
<u>9</u><u>)</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>w</u><u>i</u><u>d</u><u>t</u><u>h</u><u> </u><u>o</u><u>f</u><u> </u><u>t</u><u>h</u><u>e</u><u> </u><u>b</u><u>a</u><u>s</u><u>e</u> is x (x > 0)
we have:
28.5 = (x + 25)/2
<=> x + 25 = 57
<=> x = 32
Here is the equation:
You need to find f(3). To do that, substitute all the x's with 3:
The first thing you need to do is multiply 4 by 3. Multiply:
Here is your new equation:
To get your answer, you need to add 12 and 1. Add:
That means:
<em>If you have any questions, feel free to ask in the comments! :)</em>
9x^5 • 4x^4
9•4= 36
X^5+4= x^9
Your answer is 36x^9