Answer:
Step-by-step explanation:
An isosceles triangle has 2 sides that are the same length. Let's say that our triangle has the 2 sides measuring the same and the base is a different length. The vertex angle is the top angle. By the definition of an isosceles triangle, since the 2 sides measure the same length, then the angles across from those sides have the same degree measure. If we know the measure of the vertex angle, then we have
180 = vertex angle - base angle - base angle
but since the base angles are the same and we have 2 of them, then
180 = vertex angle - 2 base angles
For example, if the vertex angle measures 80 degrees, then 180 - 80 = 100. That 100 has to be split in half for each of the base angles which are the same as each other. So the vertex angle is 80 and each base is 50.
Answer:
The pitcher paid $70.
The second baseman paid $63.
$70 -$63 = $7
Step-by-step explanation:
Answer:
Step-by-step explanation:
The volume of a cylinder is expressed as
V = πr^2h
Where
π is a constant
h is the height of the cylinder
The volume of a cone is expressed as
V = 1/3πr^2h
Where
π is a constant
h is the height of the cone
If the cylinder and a cone have congruent bases and the same volume, it means that
πr^2h = 1/3πr^2h
πr^2 cancels out on both the left hand side and right hand side of the equation. It becomes
h = h/3
It means that the height of the cone is 3 times the height of the cylinder. Therefore,
If height of cylinder = 4 cm, height of cone = 12 cm
Answer:
3. MNP = OPN
Step-by-step explanation:
the second could be as well, but the sequence is the same for the third option, thus the second option is wrong
Complimentary angles add up to 90 degrees
x + y = 90
x = y + 8
y + 8 + y = 90
2y + 8 = 90
2y = 90 - 8
2y = 82
y = 82/2
y = 41
x = y + 8
x = 41 + 8
x = 49
so ur angles are : 41 and 49
