A and B are correct.
ALL circles are similar, because they are all literally a circle; the same shape all around. Also if you were to dilate a radius of 7 by 1.5, you are multiplying 7 by 1.5.
7 x 1.5 = 10.5
I hope this helps!
Put 4:3 into a fraction like 4/3 and make it equal to the number of boys
4/3=216/x
(find x by cross multiplying)
x=162 girls
Step 1
Multiplication property of equality
Multiplying the first equation by 5 and the second equation by 7
Step 2
Addition property of equality
Adding the two equations you get 31a =217
step 3
Division property of equality
Dividing both sides of the above equation by 31 to get the value of a
step 4
Substitution property of equality
Substituting a with 7 in the first equation
step 5
Simplify
simplifying the equation got above
step 6
Using associative property of addition by taking 14 to the other side of the equation.
step 7
Division property of equality
Dividing both side of the equation by 7 to get the value of b
Answer:
D 2x+x+3x
Step-by-step explanation:
Ian has 2 apples
Jordan has 1 apple
Kate has 3 apples
2apples+1apple + 3 apples
Apples is replaced with x
2x+1x+ 3x
Answer:
E = 76°
Step-by-step explanation:
Exterior angle B = 116°
So ABC = 180° - 116°
= 64°
In triangle ABC , AC = BC ( given )
So angle BAC = angle ABC = 64° ( Opposite angle of two same sides of a triangle are equal )
According to Angle Sum Property of a Triangle ,
BAC + ABC + ACB = 180°
=> ACB + 64° + 64° = 180°
=> ACB = 180° - 128°
= 52°
Also , angle ACB = angle ECD = 52° ( Vertical Opposite Angles are equal )
In triangle ECD ,
EC = ED ( given )
So, angle ECD = angle EDC = 52° ( Opposite angle of two same sides of a triangle are equal )
According to Angle Sum Property of a Triangle ,
ECD + EDC + CED = 180°
=> 52° + 52° + CED = 180°
=> CED = 180° - 104°
= 76°
