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
<u>7x + 3 = 9x - 7</u>
Subtract 7x from each side: + 3 = 2x - 7
Add 7 to each side: 10 = 2x
Divide each side by 2 : <em>5 = x </em>
Answer:
To convert mixed number 10 3/17 to improper fraction, you follow these steps:
First, note that 10 3/17 is a mixed number, also know as mixed fraction. It has a whole number and a proper fraction. The numbers in the mixed fraction are defined as follow:
10 = whole number
3 = numerator
17 = denominator
Multiply the whole number by the denominator
10 × 17 = 170
Add the product from Step 1 to the numerator
170 + 3 = 173
Write answer from Step 2 over the denominator
173/17
The mixed number 10 3/17 converted to improper fraction is therefore :
173/17
Step-by-step explanation:
You would have to divide 2 by 9 I think and that would equal 0.2222
Answer:
b)4feet
Step-by-step explanation:
In a rectangle two sides are equal.
Perimeter is the distance around the rectangle thus.
length=24-8-4-8
length=4
