9514 1404 393
Answer:
14 units
Step-by-step explanation:
The angle bisector divides the sides proportionally, so you have ...
(x+4)/8 = (2x+1)/12
3(x +4) = 2(2x +1) . . . . . . multiply by 24
3x +12 = 4x +2 . . . . . . . . eliminate parentheses
10 = x . . . . . . . . . . . subtract (3x+2)
Then BD = x+4 = 10 +4.
The length of BD is 14 units.
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<em>Additional comment</em>
The "triangle" cannot exist, as the side lengths are shown as 8, 12, and 35. The long side is too long. Nice math; bad geometry.
Inserting all the given information into the identity, we have

Answer:
a10 b10
Step-by-step explanation:
Answer:
Step-by-step explanation:
P(green) is asking what are the chances that if your stuck your hand into the bag and grabbed a marble that it would be green. There are 3 green, 2 blue, 1 red, and 1 white marble for a total of 7 marbles. If you pull out a marble without looking you have 3 chances of 7 that it will be green. So
10. 3/7 or 3:7
Do we even have any yellow marbles? Not that I can see, so if there isn't a yellow to pull out, your chances of pulling one out is 0. So
11. 0/7 or 0
Since there are 3 green and 1 red, which is a total of 4 marbles, we have 4 out of 7 chances that the marble we pull is red or green. So
12. 4/7 or 4:7
Answer:
Height = 17.31821 feet
Step-by-step explanation:
<u><em>Explanation</em></u>
<u><em>From graph</em></u>
Given angle θ = 6.5° and a = 152 feet
we need to find the height (h)
By using the tangent rule


Cross multiplication , we get
b = 152 × tan 6.5°
b = 152 × 0.113935
b = 17.31821 feet
Height = 17.31821 feet