Answer:A,C,E
Step-by-step explanation:
You practically answered this one yourself by giving some of the equation we need already filled in. It would look like this: A(t)=500(1.04)^7. Start by taking 1.04 to the power of 7 to get A(t)=500(1.3159). Finish by multiplying to get
A(t)=$657.97
<h2>
Answer and Explanation to questions 13,14,15</h2>
13) 
as given in the question.
14) 
Since Y is the midpoint of XZ. So, Y will divide XZ in equal halves into XY and YZ.
15) 
and 
. So, 
<h2>
Answer and Explanation to questions 16,17,18</h2>
∠3 is supplementary to ∠1 means: ∠3 + ∠1 = 180°
And, according to figure ∠1 + ∠2 = 180° as ∠1 and ∠2 form a straight line.
∠3 + ∠1 = 180° .............(i)
∠1 + ∠2 = 180° .............(ii)
subtracting equation (i) and (ii) will give ∠3 = ∠2 ..........(iii)
15) ∠3 is supplementary to ∠1 as given in the question
16) ∠2 is supplementary to ∠1 as shown be equation (ii)
18) ∠3 ≅ ∠2 as shown by equation (iii)
<h2>
Answer and Explanation to questions 19</h2>
∠3 and ∠4 form a straight line. Therefore, ∠3 + ∠4 = 180° .......(i)
∠4 and ∠5 form a straight line. Therefore, ∠4 + ∠5 = 180° .......(ii)
subtracting equation (i) and (ii)
∠3 + ∠4 - (∠4 + ∠5) = 180°-(180°)
∠3 + ∠4 - ∠4 - ∠5 = 180°-180°
∠3 - ∠5 = 0
∴ ∠3 = ∠5 (Hence Proved)
<u><em>Answer:</em></u>
second leg = 24 units
hypotenuse = 24√2 units
perimeter = 48 + 24√2 units
<u><em>Explanation:</em></u>
<u><em>1- getting the other leg:</em></u>
Since the triangle given is an isosceles triangle, this means that the two legs are equal in lengths.
We are given that one of the legs is 24 units, therefore, the other leg is also 24 units
<u><em>2- getting the hypotenuse:</em></u>
The given triangle is a right-angled triangle. We can use Pythagorean theorem to get the hypotenuse as follows:
(hypotenuse)² = (24)² + (24)²
(hypotenuse)² = 1152
hypotenuse = 24√2 units
<u><em>3- getting the perimeter:</em></u>
The perimeter of the triangle is the summation of its three sides.
In the given triangle, we have:
two legs = 24 units
hypotenuse = 24√2 units
Therefore:
perimeter = 24 + 24 + 24√2
perimeter = 48 + 24√2 units
Hope this helps :)
