8/15 = 56/105
This may be solved using proportion.
a/b = c/d
ad = bc where cross products are equal.
a = 8
b = f
c = 56
d = 105
ad = bc
8*105 = f*56
840 = 56f
840/56 = 56f/56
f = 15
56 ÷ 7 = 8
105 ÷ 7 = 15
Answer:
x=17
Step-by-step explanation:
This should be for a "kite": AD=DC, AB=BC and ∠A=∠C
8x-27 = 3x+58
5x = 85
x = 17
9-t=t+3
Subtract t on both sides
-2t=-6
Divide by -2 to leave the variable by itself
t=3
Answer:
2.5
Step-by-step explanation:
t = 0.25
Substitute d with 100
t = 0.25 x (
)
A number to the half power is equal to the square root of a number.
Square root of 100 is 10: 
t = 0.25*10
t = 2.5
Hope this helps :)
Have an awesome day!
Answer:
B, D, and E.
Step-by-step explanation:
A) The system has infinitely many solutions. This is wrong because according to the graph, there is only one solution- where the lines intersect. This would only be true if the lines never intersected.
B) A solution to the system is (-1, -2). This is true because this is the only point where the lines intersect.
C) A solution to the system is (0, -1). Since these aren't parabolas and the one above is true, we can say this is false. Also, the lines don't intersect at (0, -1).
D) One of the equations is y=x-1. This is true because the y-intercept for the red line is -1 and the slope of the equation is 1. You can also find this out by directly solving for the equation.
E) One of the equations is 3x+y=-5. If you put this into slope-intercept form, you will find out that the equation is y=-3x-5. This is true because the y-intercept of this is -5 and the slope of this is -3.
