1. -2
2. 4
Is the answers to the following questions
Answer:
The cost of one hot dog and the cost of one hamburger is $3.25
The cost of one hot dog is $1.75
Step-by-step explanation:
Let the number of hot dogs be represented by d and hamburgers be h
3d + 2h = 8.25 ----- eqn(I)
2d + 3h = 8.00 ----- eqn(II)
From eqn(I): d = (8.25 - 2h)/3
substitute the expression for d into eqn(II)
2d + 3h = 8
2(8.25 - 2h)/3 + 3h = 8
(16.50 - 4h) + 3h(3) = 8(3)
16.50 - 4h + 9h = 24
5h = 24 - 16.50
5h = 7.50
h = 7.50/5 = 1.50
One hamburger costs $1.50
d = (8.25 - 2h)/3 = (8.25 - 2×1.50)/3 = (8.25 - 3.00)/3 = 5.25/3 = 1.75
One hot dog costs $1.75
Cost of one hot dog and cost of one hamburger = $1.75 + $1.50 = $3.25
Answer:
Option (A)
Step-by-step explanation:
Measure of an angle formed between a chord and a secant is equal to the half of the difference of the intercepted arcs.
m(∠FEC) = ![\frac{1}{2}[m(\text{arc FC})-m(\text{arc})FD]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Bm%28%5Ctext%7Barc%20FC%7D%29-m%28%5Ctext%7Barc%7D%29FD%5D)
(15 + 6x)° = ![\frac{1}{2}[(24x - 6)^{\circ}-(9+7x)^{\circ}]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B%2824x%20-%206%29%5E%7B%5Ccirc%7D-%289%2B7x%29%5E%7B%5Ccirc%7D%5D)
30 + 12x = (24x - 7x) - (6 + 9)
30 + 12x = 17x - 15
17x - 12x = 30 + 15
5x = 45
x = 9
m(∠FED) = (15 + 6x)
= 15 + 6(9)
= 69°
Option (A) will be the correct option.
Answer:
Hence the correct option is 3rd option. 40
Step-by-step explanation:
If two figures are similar, then the ratio of the corresponding sides is proportional.

Answer:
0
Step-by-step explanation:
D = 20²-4(5)(20) = 400-400 = 0