Answer:
x = 170/34 = 5
Step-by-step explanation:
The sum of angle 1 and angle 2 is 180 degrees. They form a straight line.
So, just add the two equations together, set them equal to 180 and solve for x.
12x+19 + 22x - 9 = 180
34x + 10 = 180
34x = 180 - 10 = 170
x = 170/34 = 10/2 = 5
Answer:
m∠1= 80
m∠2= 100
m∠3= 80
Step-by-step explanation:
Given: m∠1= 2x +40
m∠2= 2y +40
m∠3= x +2y
m∠1 +m∠2= 180 (adj. ∠s on a str. line)
2x +40 +2y +40= 180
2x +2y+ 80= 180
2x +2y= 180 -80
2x +2y= 100
2(x +y)= 100
x +y= 100 ÷2
x +y= 50 -----(1)
m∠1= m∠3 (vert. opp. ∠s)
2x +40= x +2y
2x -x +40= 2y
x= 2y -40 -----(2)
Substitute equation (2) into (1):
2y -40 +y= 50
3y= 50 +40
3y= 90
y= 90 ÷3
y= 30
Substitute y= 30 into equation (2):
x= 2(30) -40
x= 60 -40
x= 20
m∠1
= 2x +40
= 2(20) +40
= 40 +40
= 80
m∠2
= 2y +40
= 2(30) +40
= 60 +40
= 100
m∠3
= x +2y
= 20 +2(30)
= 20 +60
= 80
Alternatively, since m∠1= m∠3,
m∠3
= m∠1 (vert. opp. ∠s)
= 80
Answer:
Mikhail is 5 years old
Step-by-step explanation:
Represent each member with a variable.
X= Gabrille
Y=Mikhail
X+Y=20 (sum of their ages is 20)
X=3y (Gabrille is 3 times Mikhails age)
Substitute 3Y into the first equation (simultaneous equation)
. 3y+y=20
. 4y=20 (divide both sides by 4)
y=5
To check your answer.
X+5=20
X=20-5
X=15
15 is 5 times 3.
Two Venn diagrams are not equivalent when they have a place for all the same items.
Using the line of best fit drawn on the graph, I can estimate from the graph that the possible bank balance is $160.
