Since BD bisects angle ABC, that means angle ABD and angle CBD are equal to each other. With that set up the equation to solve for x like this:
-4x+33 = 2x+81
-2x -2x
————————
-6x +33 = 81
-33 -33
————————
-6x = 48
————- (divide by -6)
-6
x = -8
Now substitute that to ABD
-4(-8) +33
32 +33
=65
here’s CBD
2(-8) + 81
-16 + 81
=65
Finally angle ABC will be double the amount of ABD or CBD so 65 times 2 is 130.
ANSWERS: (angles)
ABD and CBD: 65
ABC: 130
4 tens = 40 and 5 tens = 50 … therefore the number has to be between 40 and 50
So: 40 < x <50 … this says that x is greater than 40 and less than 50
So the possible numbers would be: 41,42,43,44,45,46,47,48,49
Now the number must have 9 ones … which mean the only number would be 49
The first one is a reflection over the x-axis :)
Answer:
IIaI-IbII
Step-by-step explanation:
II-30I-I-5II=
I30-5I=
I25I=
25
II-5I-I-30II=
I5-30I=
I-25I=
25
Answer:
At x = 15 ; price meets profit goal
At x = 25 ; price does not meet profit goal
Step-by-step explanation:
Constraint:
p < -15x2 + 600x + 60
P ≥ 5,000
x = shirt price ;
If x = 15
p ≤ -15(15²) + 600(15) + 60
p ≤ -3375 + 9000 + 60
p ≤ 5685
p ≥ 5000
5685 ≥ 5000 ( condition is met)
2.)
With a shirt price of $25
x = 25
p ≤ -25(25²) + 600(25) + 60
p ≤ -15625 + 15000 + 60
p ≤ - 565
p ≥ 5000
-565 < 5000 ( condition is not met)
