Answer: D. SSS
Step-by-step explanation:
The solution would be SSS because the image shows that AB is congruent to DE, BC is congruent to EF, and AC is congruent to DF. Because the image shows that all three sides are congruent to their corresponding side on the other triangle, with no mention of angles, the triangles are congreunt through the SSS theorem.
First take the inside diameter and divide by 2 to get the radius (4cm)
Then use

r^2 with 'r' being your radius to get the area of the base
The area is 12.7 cm
Now multiply the height by the area of the base to get the volume/ capacity!
40cm x 12.7cm (rounded to the nearest tenth) = 502.7 cubic centimeters
Answer:
190.67 ft/sec
Step-by-step explanation:
130 mi/hr x 5280 ft/mi x 1/60 hr/min x 1/60 min/sec = 190.67 ft/sec
It makes more sense if you write these as fractions and cancel units.
Answer:
C=6π
Step-by-step explanation:
It is given that, two circles are identical. The radius of first circle is 2x and the diameter of other circle is 2x+3.
If identical, it means that the radius of both circles are same i.e.

Radius of both circles is 2(1.5)=3
The circumference of a circle is given by :

So, the circumference of each circle is 6π.
Answer: 60 gallons of the 20% solution and 120 gallons of the 50% solution should be mixed.
Step-by-step explanation:
Let x represent the number of gallons of 20% solution that should be mixed.
Let y represent the number of gallons of 50% solution that should be mixed.
A 20% solution of fertilizer is to be mixed with a 50% solution of fertilizer in order to get 180 gallons of a 40% solution. This means that
0.2x + 0.5y = 0.4×180
0.2x + 0.5y = 72- - - - - - - - - - - -1
Since the total number of gallons is 180, it means that
x + y = 180
Substituting x = 180 - y into equation 1, it becomes
0.2(180 - y) + 0.5y = 72
36 - 0.2y + 0.5y = 72
- 0.2y + 0.5y = 72 - 36
0.3y = 36
y = 36/0.3
y = 120
x = 180 - y = 180 - 120
x = 60