Answer:
Angle 5 = 122
Step-by-step explanation:
Assume EB and AD intersect each other at point C
As this is the circle, four points A,B,D,E are all on the circle, so that we have:
+) m∠EBD = 1/2 measure of arc ED (small arc)
=> m∠EBD = 1/2 . 66 = 33 degree
=> m∠CBD = 33
+) m∠ADB = 1/2 measure of arc AB (small arc)
=>m∠ADB = 1/2 . 50 = 25 degree
=>m∠CDB = 25 degree
In the triangle CDB, we have total measure of three internal angles is 180 degree
=> Angle 5 + m∠CDB + m∠CBD = 180
=> Angle 5 + 25 + 33 = 180
=> Angle 5 = 180 -25 - 33 = 122 degree
Lets write down the information that we know.
Jessie has 7 stacks of 6 dimes, so Jessie has a total of 6*7 dimes
Dimes=7*6=42dimes
Jessie has 42 dimes, but then she found another one so lets add one more dime.
42+1=43 dimes
Jessie has 8 stacks of 5 nickels, so Jessie has 8*5 nickels
Nickels=8*5=40nickels
Jessie has 40 nickels, but then she found another one so lets add 1 to the total number of nickels.
40+1=41nickels
Now we can answer the question.
How many dimes and nickels does jessie have in all?
nickels+dimes=
41+43=84 coins
Jessie has 84 coins in total
Answer:
x= 62
y= 54
Step-by-step explanation:
Step one:
given data
let the numbers be x and y and the larger be x the smaller be y
The difference between two numbers is 8
x-y= 8-----------1
If the larger is subtracted from three times the smaller, the difference is 100
3y-x=100------------2
from eqn 1, x= 8+y
put this in eqn 2
3y-(8+y)=100
3y-8-y=100
collect liker terms
3y-y-8=100
2y=108
y= 54
put y= 54 in eqn 1
x-y=8
x-54= 8
x= 8+54
x=62
The way it is written, none of them.
The "a"s cancel out.
3/4 = 3/4*1
3/4 = 3/4 * 3/3 = 9/12
Box is 9/12 full after heba ate 1/12 of a box of cereal
Initial fraction will be 9/12+1/12
=10/12= 5/6
