Answer:
x = 45
y = 45
z = 11.1
Step-by-step explanation:
Remark
The triangle is a right triangle. That means that it has 1 right angle.
It is also isosceles which means that the two legs that are not the hypotenuse are equal.
Result: z and 11.1 are equal z = 11.1
More remark
If the triangle is isosceles, that means that the angles that are not right angles must also be equal.
90 + x + y = 180
but x = y
90 + 2x = 180 Subtract 90
2x = 180 - 90 Divide by 2
2x/2 = 90/2
x = 45
No graphs are shown......
Answer:
4/6 or 66.67 percent
Step-by-step explanation:
Answer:
D. $1.95
F. $3
Step-by-step explanation:
dimes: x + 2
quarters: x
x + 2 + x = 12
2x + 2 = 12
2x = 10
x = 5
dimes: x + 2 = 5 + 2 = 7
quarters: x = 5
Total value: (7 * .10) + (5 * .25) = $1.95
_____
dimes: x
quarters: 2x
x + 2x = 15
3x = 15
x = 5
dimes: x = 5
quarters: 2x = 2(5) = 10
Total value: (5 * .10) + (10 * .25) = $3
Answer:
x^3+5x^2+16x+80
Step-by-step explanation:
You know that you can write your polynom this way : (x-r1)(x-r2)(x-r3) with r1,r2 and r3 the roots so you get :
(x+5)(x+4i)(x-4i)
Simplify (x+4i)(x-4i) with the formula (a-b)(a+b)=a²-b²
so you have (x^2+16)=(x+4i)(x-4i)
Your polynom looks like this :
(x^2+16)(x+5) just expand it
and you get x^3+5x^2+16x+80