Answer:
Diameter of a circle = 1.6 Cm
Step-by-step explanation:
Given:
Distance between first and third coins = 3.2 cm
Find:
Diameter of the coins = ?
Computation:
Number of circle = 3
In the given figure,distance between the first and third coins is 3.2 cm.
So,
Distance = 1st circle radius + 2nd circle diameter + 3rd circle radius
Distance = 1st circle radius + 2 (radius) + 3rd circle radius
Distance = R + 2R + R
3.2 Cm = 4 R
Radius = 0.8 Cm
Diameter of a circle = 2 × radius
Diameter of a circle = 2 × 0.8
Diameter of a circle = 1.6 Cm
Answer:
The equation would be y = 3/2x - 1
Step-by-step explanation:
To find the answer in slope-intercept form, simply solve for y.
4x-4y/2=x+2 ----> Subtract 4x from both sides
-4y/2=-3x+2 ----> Multiply both sides by 2
-4y = -6x + 4 -----> Divide by -4
y = 3/2x - 1
Step-by-step explanation:
its y-(-6)= 3 over 2(x-(-1))
We know that the angles of a triangle sum to 180°. For ΔABC, this means we have:
(4x-10)+(5x+10)+(7x+20)=180
Combining like terms,
16x+20=180
Subtracting 20 from both sides:
16x=160
Dividing both sides by 16:
x=10
This means ∠A=4*10-10=40-10=30°; ∠B=5*10+10=50+10=60°; and ∠C=7*10+20=70+20=90.
For ΔA'B'C', we have
(2x+10)+(8x-20)+(10x-10)=180
Combining like terms,
20x-20=180
Adding 20 to both sides:
20x=200
Dividing both sides by 20:
x=10
This gives us ∠A'=2*10+10=20+10=30°; ∠B'=8*10-20=80-20=60°; and ∠C'=10*10-10=100-10=90°.
Since the angle are all congruent, ΔABC~ΔA'B'C' by AAA.
