Answer:
x = 72 degrees
Step-by-step explanation:
If triangle LMN = triangle QPR, that means:
- angle L (x) equals angle Q
- angle M equals angle P
- angle N equals angle R
We know angle Q equals 72 degrees and we know angle Q equals angle L. Since angle L is the "x" we are looking for, we know that x = 72 degrees.
Answer:
X=16
Step-by-step explanation:
Solve 3(x-9)=21 IF X = 16
16-9 = 7
3X7= 21
Of course A does because integers are positive and negative
Answer:
k can either be
12
or
−
12
.
Step-by-step explanation:
Consider the equation
0=x2+4x+4
. We can solve this by factoring as a perfect square trinomial, so
0=(x+2)2→x=−2 and−2
. Hence, there will be two identical solutions.
The discriminant of the quadratic equation (b2−4ac) can be used to determine the number and the type of solutions. Since a quadratic equations roots are in fact its x intercepts, and a perfect square trinomial will have
2 equal, or 1
distinct solution, the vertex lies on the x axis. We can set the discriminant to 0 and solve:
k2−(4×1×36)=0
k2−144=0
(k+12)(k−12)=0
k=±12
One variable is the amount of time it takes her to make a plate. The other variable is the amount of time it takes her to make a cup.
