<span>The sum of Kate age and her mother's age is 52, so
K + M = 52
Kate's mother is 20 years older then Kate, so
M = 20 + K
How old is each person?
Since M = 20 + K, substitute it into the first equation, that is, replace M with 20 + K
So, K + (20 + K) = 52
K + 20 + K = 52
2K + 20 = 52
Subtract 20 from both sides:
2K = 52 - 20
2K = 32
divide both sides by 2 to get
K = 16
Now we can find M, since M = 20 + K = 20 + 16 = 36
Kate is 16 years old and her mother is 36 years old.
Hope this helps!!1</span>
Answer: 50 cents
Step-by-step explanation:
Norman buys two cakes. One cake cost 40 cents and the other costs a quarter. Based on this, the cost of the second cake will be:
= 1/4 × 40
= 10 cent
Now, the total amount spent in total will be:
= 40 cents + 10 cents
= 50 cents
Answer:
Its F(x)=-1/4x-1/4
Step-by-step explanation:
just took a quiz in class
Jenny could technically do any of them, first or second. It doesn't matter, as long as you do the same to both sides, the two sides are still equal
Step-by-step explanation:
angle HIJ=107°
angle IDJ=31°
now,
angle HIJ+angle JID=180°{ being straight angle}
107+angle JID=180°
angle JID=180°-107=73°
again,
angle JID+angleIDJ+angleDJI=180°{ sum of angle of triangle}
73°+31°+angleDJI=180°
angle DJI=180°-1104°=76°
hence,
angleAJF=angleDJI{ vertically opposite angle}
x=76°
hope it helps.