Answer:
Angles 7, 2, and 6
Step-by-step explanation:
Angle 7 is congruent by corresponding angles to angle 3.
Angle 2 is congruent by vertical angles to angle 3.
Angle 6 is congruent by vertical angles to angle 7, which is congruent to angle 3, so angle 3 and angle 6 must also be congruent.
I believe the correct option is C after I checked it over and over again...
Answer:
11.53 inches
Step-by-step explanation:
Given data
Diagonal = 19 inches
Height= 15.1 inches
Let us apply the Pythagoras theorem
D^2= H^2+W^2
substitute
19^2= 15.1^2+W^2
361=228.01+W^2
361-228.01=W^2
132.99= W^2
W=√132.99
W=11.53 inches
Hence the width is 11.53 inches
This is the concept of simultaneous equations. Let the number of dimes be x and that of quarters by y.
1 quarter =$0.25
1 dime=$0.1
Total number of coins in piggy bank
x+y=64
thus
x=64-y.........i
Total amount will be:
0.1x+0.25y=10.30......ii
substituting i in ii and solve for y we get:
0.1(64-y)+0.25y=10.30
6.4-0.1y+0.25y=10.30
0.15y=10.30-6.4
0.15y=3.9
y=3.9/0.15
y=26
hence:
x=64-y=64-26=38
Therefore we conclude that there are 38 dimes and 26 quarters
