The measure of the exterior angle of the triangle is
1 answer:
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Answer:
112
Step-by-step explanation:
Given: Joe gave 1/4 of his total candies to his classmate.
Then, he gave 4/6 of when he had left to his brother.
He gave 25% of the remaining candies to his sister.
Finally, he only had 21 candies left.
Lets assume the total number of candies at the beginning be "x".
First, finding the number candies left after giving candies to classmate.
∴ Remaining candies=
Solving it to find remaining candies after giving candies to clasmate.
⇒ Remaining candies=
Taking LCD as 4
⇒ Remaining candies=
∴ Remaining candies after giving candies to clasmate=
now, finding the candies left after giving candies to his brother.
∴ Remaining candies=
Solving it to find the remaining candies after giving candies to his brother.
⇒ Remaining candies=
Taking LCD 4
⇒ Remaining candies=
∴ Remaining candies after giving candies to his brother=
We know, Joe was left with only 21 candies after giving candies to his sister.
Therefore, putting an equation for remaining candies to find the number of candies at the beginning.
⇒
⇒
Taking LCD 4
⇒
⇒
Multiplying both side by 4
⇒
dividing both side by 0.75
⇒
∴
Hence, Joe had 112 candies at the beginning.
Answer:
Therefore the lengths of the opposite side pairs.
C) 18, 9
Step-by-step explanation:
Given:
Quadrilateral ABCD is a parallelogram
AB = 6x
DC = x + 15
AD = 9
BC = 3y
TO Find:
AB = ?
BC = ?
Solution:
Quadrilateral ABCD is a parallelogram ..........Given
∴ Both pairs of opposite sides of a Parallelogram are congruent.
∴ AB = DC and AD = BC
substituting the values we get
substituting the x' and 'y' values we get
Therefore the lengths of the opposite side pairs.
C) 18, 9
