Answer:
B
Step-by-step explanation:
<em>Let 
be the radius of one sphere.</em>
- Volume of sphere is
Since radius is r, the height of the cylinder will be 
Also, the cylinder has the same radius as the sphere:
- Volume of Cylinder is
Plugging in the values we get: 
<u>Ratio of volume of 1 sphere to volume of cylinder is</u>:
The ratio is 1:3
Answer choice B is right.
First off,congruent triangles are triangles that are equal to another,having the same area,length of sides and angles.
Judging visually,the triangles that are congruent would be:
C and E-as they are both in smaller size.
D and F-as they are both significantly irregular.
That would left A and B:
A-it is very large in size that none other could match
B-it is the only isosceles triangle.
Thus the answer is A and B as they do not match with any others.
Hope it helps!
Answer:
they were neatly planned
Step-by-step explanation:
if you studied you would know they live in a sandy area so it cant be stone and it cant be rivers because there not close to it and a big population that is normal in human society so thats why its they were neatly planned
Answer:
9. 75°
10. 60°
Step-by-step explanation:
Note the angle-intercept theorem. If you create an angle in the opposite side of a circle from 2 points on other side, the arc will have a measure TWICE that of the intercepted angle created on other side.
<u></u>
<u>Question 9</u>
Arc WX has a measure 76, thus the angle created is Angle V, which should be HALF of that. So angle V is 76/2 = 38
Now looking at the triangle inside the circle, we know three angles of a triangle add up to 180, thus we can write and solve for "?" angle:
X + W + V = 180
? + 67 + 38 = 180
? + 105 = 180
? = 180 - 105 = 75°
<u>Question 10</u>
Using the theorem we can say that Angle B is HALF of ARC XYZ.
So,
2*Angle B = Arc XY + Arc YZ
2*102 = Arc XY + 124
204 = Arc XY + 124
Arc XY = 204 - 124 = 80°
Also, Arc BX + Arc XY is twice that of Angle Z (which is 70), thus
Arc BX + Arc XY = 70 *2
Arc BX + Arc XY = 140
Arc BX + 80 = 140
Arc BX = 140 - 80 = 60°
