Answer: (1) 12 (2) 36 or 22 (3) 40
<u>Step-by-step explanation:</u>
NOTES about diagonals of a rectangle:
- diagonals are congruent (equal lengths)
- diagonals intersect at the midpoint
(1) Given: MR = 4x - 60 and AK = 30 - x
Per rule 1 → MR = AK
4x - 60 = 30 - x
5x - 60 = 30
5x = 90
x = 18
MR = 4(18) - 60
= 72 - 60
= 12
(2) Given: MP = x² + 2 and AP = x + 14
Per rule 1 → MP = AP
x² + 2 = x + 14
x² - x - 12 = 0
(x - 4)(x + 3) = 0
x - 4 = 0 or x + 3 = 0
x = 4 or x = -3
AP(4) = (4) + 14 = 18
AP(-3) = (-3) + 14 = 11
Per rule 2 → AK = 2AP
AK(4) = 2(18) = 36
AK(-3) = 2(11) = 22
(3) Given: MR = 4x - 60 and MP = x + 5
Per rule 2 → MR = 2MP
4x - 60 = 2(x + 5)
4x - 60 = 2x + 10
2x - 60 = 10
2x = 70
x = 35
MP = (35) + 5
= 40
Per rule 1 → PR = MP
PR = 40
Step-by-step explanation:
5x-6+7x+18=180
12x=180+6-18
12x=168
168÷12=14
X=14
for y
3y+11=7x+18(7×14+18)
3y+11=116
3y=116-11
3y=105
y= 35
Answer: The experimental probability is 70 %
Step-by-step explanation:
According to the given question have to find that the experimental probability that a 10th-grade student chosen at random has at least one, but no more than two, siblings
As we know that,
If 10th-grade student chosen at random has at least one, but no more than two, siblings
Therefore, there can be one or two siblings
Such that, the total number of such students
Now, number of favorable outcomes =28 and total number of students
Now,
%
29/100=0.29
5*0.29=1.45
29+1.45 = 30.45
She paid $1.45 in taxes
Total with taxes included is $30.45
I’m pretty sure the answer is (B) y= 3x + 8