Answer: The height of the palm tree is 21 feet.
Step-by-step explanation:
We can use a ratio to solve this:
Actual height to shadow for both objects. The fraction equivalents must be equal.
6/8 = x/28 . Cross multiply
6(28) = 8x
168 = 8x Divide both sides by 8 (8's "cancel" on the right)
168/8 =8x/8
21 = x . This gives us the tree's height as 21 feet.
<em>Another way to solve this is to use the ratios, but simplify the first fraction</em>
<em>6/8 = 3/4</em>
<em>Then multiply the length of the shadow by 3/4</em>
<em>3/4 × 28 = height</em>
<em>28÷4 = 7 7 × 3 = 21</em>
<em>21 feet= the height of the palm tree.</em>
Answer: this is hard I hate math sorry
Step-by-step explanation:
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4.b.
Answer: See below.
Step-by-step explanation:
<h2><u>
For the equation f(x) = 2x</u></h2>
3.a. f(6) means use x = 6 in the equation f(x) = 2x
so f(6) would be f(6)= 2(6)
<u>f(6) = 12</u>
3.b. f(-11) = 2(-11)
<u>f(-11) = -22</u>
3.c. f(2.75) = 2(2.75)
<u>f(2.75) = 5.5</u>
3.d. This is turned around. We are told f(x)=20, so what would x need to be for f(x) to be 20? Since f(x) = 2x, we can say 20 = 2x. Therefore x = 10
f(10) = 20
<u>The rest of (3) are solved in the same fasion.h</u>
<u></u>
<h2><u>
For the equation f(x)= 5x+50</u></h2>
4.a. f(7) = 5(7)+50
<u>f(7) = 85</u>
4.b. f(-12)
f(-12) = 5*(-12)+50
<u>f(-12) = -60</u>
<u></u>
Continue in the same fashion for these types of problems.
Answer:
I don't know
Step-by-step explanation:
I don't know
Answer:
YZ = XZ
Step-by-step explanation:
Perpendicular Bisector:
A perpendicular bisector of a line segment 'l' is a line that is perpendicular to the line segment 'l' and cuts the line segment 'l' into two equal parts.
Given:
1. A triangle WXY.
2. A perpendicular bisector from vertex W that intersects XY at point Z.
Conclusion based on the drawing:
a. Z is the midpoint of the line segment XY because point Z lies on the perpendicular bisector of XY.
b. Hence, XZ = YZ.
