Attached the solution and work.
What is the height of the triangle? 17 units 34 units 51 units 68 units?
2 answers:
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Answer:
Step-by-step explanation:
To start calculating, we first need to make some proof.
Firstly, since AB = AC, we know that ΔABC is isosceles, which means that ∠ABC = ∠ACB.
Now, looking only to ΔBDE and ΔCDF, we can see that they are similar, because the two of its angles are congruent:
∠BED=∠CFD
∠DBE=∠DCF
To make it easier to visualize which are the corresponding vertexes, we can draw them like this:
And we need to remember that BC is 24, so:
BD+CD=24
Since the triangles are similar, their corresponding sides have constant ratio, which we can calculate from the corresponding sides DE and CF:
This ratio is the same for the other corresponding sides, so we can apply that for BD and CD:
Thus, the measure of CF is approximately 13, alternative D.
Answer:
t = 3.69 ≈ 3. 7 years
Step-by-step explanation:
Given :
P = 10,000
r = 5%= 0.05
A = 12,000
n = 2 ( because it is compounded semi - annually )
John and Paul want to go to the cinema, they know that the ticket costs $1 and each food box cost $3. If they spent $14, how many food boxes did each of them buy?
In this case since there is two people, we include that 2. 3x is representing the cost for buying x food boxes and 1 the cost for the ticket. 14 is the total amount of money spent.
Each of them buy 2 food boxes.