Answer: The missing length is 120 {option C}
Step-by-step explanation: What we have in the question is a triangle placed on top of another triangle and as shown in the attached diagram we can separate them into triangles BFC and GFH.
A close observation shows that line BC is parallel to line GH. Hence we have two similar triangles, and we can determine their similarity ratios as follows;
BF/FC = GF/FH
Similarly BF/BC = GF/GH
We can also express the following ratio
FC/FH = BC/GH
Therefore to calculate the missing side, which is GF, we can use the ratio
FC/FH = FB/FG
30/100 = 36/FG
By cross multiplication we now have 30 (FG) = 100 (36)
30FG = 3600
Divide both sides of the equation by 30
FG = 120
Answer:
Step-by-step explanation:
5 3/7= 38/7 (move the wholes into the fraction)
2 1/5=11/5
38/7- 11/5 we need the common denominator=35
190/35 -77/35= 113/35
=3 8/35
Answer:
Answer:
The manager's prediction is false
Step-by-step explanation:
Given
Jacob: 2000x + 4000
Carlos: 3500x - 40000
Required
Determine if both expression will be the same if x = 35
To do this;
Equate both expressions and then solve for x
i.e.
2000x+4000=3500x-40000
Collect Like Terms
2000x+4000=3500x-40000
-1500x=-44000
Divide both sides by -1500
Hence, the manager's prediction is not true because x
35
Answer:
8.66 m
Step-by-step explanation:
Given that,
The distance from the top of the building to the tip of the shadow is 14 m
The height of the building is 11 m.
We need to find the length of the shadow. we can see that the length of the shadow forms the base of the triangle.
The distance from the top of the building to the tip of the shadow form hypotensue and height of the building forms perpendicular. So, we can use Pythagoras theorem to find the base.
So,
So, the length of the shadow is 8.66 m.
Hello :
the center is a middle <span>[ PQ] :
((-10+4)/2 , (-2+6)/2)
(-3,2)
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