Answers:
- x = 3
- CD = 21
- DE = 16
- CE = 21
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Explanation:
The congruent base angles are D and E. Opposite those angles are the sides CE and CD. These opposite sides are the same length.
CE = CD
16x-27 = 4x+9
16x-4x = 9+27
12x = 36
x = 36/12
x = 3
This x value then leads to the following:
- CD = 4x+9 = 4*3+9 = 12+9 = 21
- DE = 7x-5 = 7*3-5 = 21-5 = 16
- CE = 16x-27 = 16*3-27 = 48-27 = 21
We see that CD and CE are both 21 units long, which helps confirm we have the correct x value.
The answer is 1,200 but all you have to do is figure out what 4% of 5000 is and then multiply that by 6
Answer: 91
Step-by-step explanation:
95 - 4 (That he gave to Harry) = 91
Hope this helped!
Drawing this square and then drawing in the four radii from the center of the cirble to each of the vertices of the square results in the construction of four triangular areas whose hypotenuse is 3 sqrt(2). Draw this to verify this statement. Note that the height of each such triangular area is (3 sqrt(2))/2.
So now we have the base and height of one of the triangular sections.
The area of a triangle is A = (1/2) (base) (height). Subst. the values discussed above, A = (1/2) (3 sqrt(2) ) (3/2) sqrt(2). Show that this boils down to A = 9/2.
You could also use the fact that the area of a square is (length of one side)^2, and then take (1/4) of this area to obtain the area of ONE triangular section. Doing the problem this way, we get (1/4) (3 sqrt(2) )^2. Thus,
A = (1/4) (9 * 2) = (9/2). Same answer as before.
Answer:
Step-by-step explanation:
This represents an arithmetic progression with the first term of a = 15 and common difference of d = 3.
<u>The tenth row is the 10th term:</u>
<u>The row 10 has:</u>
- a₁₀ = 15 + 9*3 = 15 + 27 = 42 seats
