Answer:
Step-by-step explanation:
Let's write a system of equations. I'm going to call them w, x, y, and z.
w = 4x (because m∠1 is 4 times m∠2)
w + x = 90 (bc ∠1 and ∠2 are complementary, meaning they add up to 90)
w = y (bc ∠1 and ∠3 are vertical angles, meaning they are equal)
y + z = 180 (bc ∠3 and ∠4 are supplementary, meaning they add up to 180)
When we substitute w=4x into the second equation, we get 5x=90 → m∠2 = 18°. Since w=4x, m∠1 = 18*4 = 72°. Since w=y, m∠3 = 18°. Finally, because y+z=180, m∠4 = 180-18 = 162°. Hope this helps!
What you have to do is rearrange the equation by subtracting what is on the right of the equal sign from both sides of the equation
so it would be 4*x-13*x-(27)=0
There’s no photo attached but i’ll be happy to help you with the question!
$6.89
The book is $10. Minus the 35% discount ($10X0.35=$3.50). So the subtotal is $10-$3.50=$6.50.
Tax is 6%. So 0.06X$6.50=$0.39
The total including tax is $6.50+$0.39=$6.89
Answer: 3/5
Step-by-step explanation: Notice that the fractions that we are comparing in this problem have different denominators. When fractions have different denominators, they are called unlike fractions.
To compare unlike fractions, we must first get a common denominator. The common denominator of 3 and 5 will be the least common multiple of 3 and 5 or 15.
To get a 15 in the denominator of 1/3, we multiply the numerator and the denominator by 5 which gives us 5/15.
To get a 15 in the denominator of 3/5, we multiply the numerator and the denominator by 3 which gives us 9/15.
Notice that we now have like fractions since both fractions have a 15 in the denominator.
To compare like fractions, we simply look at the numerators.
9/15 - 5/15
Since 9 is greater than 5, 9/15 is greater than 5/15.
This means that 3/5 is bigger than 1/3.
