Answer:
x = 24
Step-by-step explanation:
The angle bisector creates proportional corresponding line segments on either side of it. That is ...
(35 mm)/(56 mm) = (x +4) mm/(44.8 mm)
Multiplying by 44.8, you have
44.8 · (35/56) = x + 4
28 = x + 4 simplify
24 = x subtract 4
Answer:
x^3+7x^2-50x-336 or (x-7)(x+6)(x+8)
Step-by-step explanation:
Factor each equation.
x^2-x-42= (x-7)(x+6)
x^2+x-56= (x-7)(x+8)
The common factor is (x-7), therefore the other factors of the expressions must multiply to find the common factor.
(x-7)(x+6)(x+8)=x^3+7x^2-50x-336.
Help me with my latest question
Answer:
Step-by-step explanation:
The angles <JKL, <EKL, and <JKE form a full angle which means their sum is equal to 360:
134 + 21x + 6 + 5x = 360 add like terms
140 + 26x = 360 subtract 140 from both sides
26x = 220 divide both sides by 26
x = 8.4 approximately
to find the angle m<JKL replace x with the value we found.
Answers:
Option 1)
6a + 8s = 102
14a + 4s = 150
each adult ticket costs 9 dollars
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Explanation:
6 adult tickets and 8 student tickets bring in $102, so that means 6a+8s = 102
14 adult tickets and 4 students tickets bring in $150, so 14a+4s = 150
The system of equations is

If we multiply both sides of the second equation by -2, we get this updated system

Add the equations straight down
6a+(-28a) = -22a
8s+(-8s) = 0s = 0 ... the 's' terms go away
102+(-300) = -198
So we end up with the equation -22a = -198 and that solves to a = 9 after dividing both sides by -22.
Each adult ticket costs $9
If you want the value of s, then
6a+8s = 102
6(9)+8s = 102
54 + 8s = 102
8s = 102-54
8s = 48
s = 48/8
s = 6
Meaning each student ticket costs $6
Or you could use the other equation
14a+4s = 150
14(9)+4s = 150
126+4s = 150
4s = 150-126
4s = 24
s = 24/4
s = 6
We get the same value of s