Sum of interior angles in a triangle = 180
so
2y + y+10 + 50 = 180
3y + 60 = 180
3y = 120
y = 40
Answer is A. 40
Answer: x=10
Step-by-step explanation:
1/5(x-2)=1/10(x+6)
1/5x -2/5=1/10x + 6/10
+2/5 +2/5
1/5x =1/10x + 1
-1/10 -1/10
1/10x= 1 divide both sides by 1/10
x= 10
Answer to the first question: 7/10ths of a mile
Explaination: When adding fractions, you need to have a common denominator. Since dividing 3/10 by 2 to get a denominator of 5 makes 3 a decimal, it's easier to multiply 2/5 by 2 to get a denominator of 10. You do the same to the top that you do to the bottom:
. From there, just add 4/10 and 3/10 to get the answer: 7/10ths of a mile.
Answer to the second question: Daniel read three (3/10) more books
Explaination: Since you can't evenly multiply 5 or 2 to get the opposite number, it's easier to multiply to the lowest common multiple. The easiest way to find that is to multiply both denominators (5*2=10). You'll have to multiply the numerator by the same amount you multipled the denominator by. For Daniel, that would mean:
. For Edgar, that would mean:
. So, Daniel read 3 more books than Edgar.
Answer to the third question: 2/4 mile (or 1/2 a mile)
Explaination: 2/8 can be simplified, by dividing the top and bottom by 2, resulting in 1/4. Since both fractions have the same denominator (/4), you can add them to get 2/4ths. This can be simplified further to half (1/2) a mile.
Answer: same.
Step-by-step explanation: