Yes they are but just in a different form. Fractions can be converted to a decimal. 3/5 can be shown as .6. Hope I helped!
Nothing else is given, so for the two triangles to be congruent, the only possible proof is the ASA theorem.
first pairs of angles: 2x+7=x+21 => x=14
second pairs of angles: 8y-4=4y+28 =>y=8
The two triangles share the same side PR
Based on the Angle-Side-Angle Triangle Congruence theorem, these two triangles are congruent with x=14, y=8
(2x+7) +(8y-4) +Q=180 =>85
Assuming the price of the pool does not change, then
Additional interest required is 4500-3750=750
using
I=Pit, we set up equation
750=3750*0.055*t
Solve for t
t=750/(3750*0.055)=3.64 years.
So will need to wait 3.64 years, or rounded up to 4 years.
Answer:
192π unit²
Step-by-step explanation:
Given that :
Radius = 24
Area of circle = πr²
Area = π*24²
Area = 576π in²
The Shaded area is 120°
Entire Circumference = 360°
Hence, shaded area = 120°/ 360° = 1/ 3 of the area
1/3 * 576π in²
= 192π unit²
Answer:
(0;-4)
(-6;4)
Step-by-step explanation:
-8x - 6y - 7 = 17
-8x-6y-24=0
y=-(4x)/3-4
(3;0)
-(4*3)/3-4=8
8≠0
(-2;-1)
-(4*(-2))/3-4=-4/3
-4/3≠-1
(0;-4)
-(4*0)/3-4=-4
-4=-4
(-9;6)
-(4*(-9))/3-4=8
8≠6
(-6;4)
-(4*(-6))/3-4=4
4=4
