Answer:
Step-by-step explanation:
Given are two triangles ABC and XYZ.
We have AB = XY = 25 cm, AC = YZ = 29 cm
and also angle A = angle X = 36 degrees
Thus we find that corresponding congruent sides are
AB and AC with angles A and X
To map ABC onto xyz,
Vertex B to Y, side AB to side XY with AC coinciding with XZ
Now all vertices x,y,z will perfectly match with transformed ABC
Answer:
15.48
Step-by-step explanation:
52%-16= 15.48
<span>let x = the number of liters of the 20% solution.
let y = the number of liters of the 60% solution.
you want x + y to be equal to 40 liters.
x is the number of liters total in the first solution.
y is the number of liters total in the second solution.
you want .2 * x + .6 * y to be equal to .35 * 40
.2 * x is the number of liters of acid in the first solution.
.6 * y is the number of liters of acid in the second solution.
.35 * 40 is the number of liters of acid in the final solution.
you have two equations that need to be solved simultaneously.
they are:
x + y = 40
.2x + .6y = .35*40
simplify these equations to get:
x + y = 40
.2x + .6y = 14
you can solve by substitution or by elimination or by graphing.
i will solve this one by graphing.
this means to graph both equations and find the intersection.
the graph looks like this:
the graph says the intersection is at the coordinate point of (25,15).
this means that x = 25 and y = 15.
x is the number of liters of the 20% solution.
y is the number of liters of the 60% solution.
the formula of .2x + .6y = 14 becomes .2 * 25 + .6 * 15 = 14.
simplify this equation to get 14 = 14.
this confirms the solution is good.
</span>
Answer:
e
Step-by-step explanation:
e
Because the initial value is $26.40, the line must pass through this when x is 0. Thus, the answer is either the first or the second equation.
Next, we calculate the difference between the year 2019 and 1998 and substitute it into the value of x.
2019 - 1998 = 21.
Substituting this into the equation:
y = 1.006(21) + 26.40
y = $47.52
Thus, the first option is correct.
