Answer:
The two bottom angles of this triangle are both represented by the same variable, in this case, an x. This means, that both of the bottom angles are equal to each other.
So we have:
32 + x + x = 180 (since the TOTAL angles of a triangle adds up to 180)
32 + 2x = 180 (combine the 2 x's together)
2x = 148 (subtract a 32 from both sides)
x = 74
Let me know if this helps!
Answer:
The sum of the first 37 terms of the arithmetic sequence is 2997.
Step-by-step explanation:
Arithmetic sequence concepts:
The general rule of an arithmetic sequence is the following:
In which d is the common diference between each term.
We can expand the general equation to find the nth term from the first, by the following equation:
The sum of the first n terms of an arithmetic sequence is given by:
In this question:
We want the sum of the first 37 terms, so we have to find 
Then
The sum of the first 37 terms of the arithmetic sequence is 2997.
This theorem says that the exterior angle is equal to the sum of its remote interior angles. In other words, 140 = 2x + x + 2. 140 = 3x + 2 and 138 = 3x. Therefore, x = 46. Multiply it by 2 to get angle B is 92 degrees.
Y+4= x blue bikes
G-2= x yellow bikes
4y+4= 8 blue bikes
4y+2= 6 green bikes
4y= 4 yellow bikes
8 blue bikes
+
6 green bikes
+
4 yellow bikes
=
18 bikes total
Answer:
cylinder = 27π
cone = 9π
sphere = 36π
Step-by-step explanation:
volume of a cylinder = πr²h where r = radius and h = height
height of cylinder (h) = 3 and radius (r) = 3
so volume = π(3)²3
==> simplify exponent
volume = π9(3)
==> multiply 9 and 3
volume of cylinder = 27π
Volume of a cone = πr²(h/3) where r = radius and h = height
height of cone (h) = 3 and radius (r) = 3
so volume = π(3)²(3/3)
==> simplify exponent
volume = π9(3/3)
==> divide 3 by 3
volume = π9(1)
==> multiply 9 and 1
volume of cone = 9π
volume of a sphere = 4/3πr³ where r = radius
radius = 3
so volume = 4/3π(3)³
==> simplify exponent
volume = 4/3π27
==> multiply 4/3 and 27
volume of sphere = 36π
