Answer: 50 degrees
Step-by-step explanation:
This is actually quite simple using the exterior angle theory
"The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle"
In this case the exterior angle is 120 degrees, basically what the theorem states is that it the angle that you see outside the triangle equals the angle measurements of the 2 angles opposite of it, so just create an equation because you know 2 of the variables
120=70+x
120-70=x
Angle x = 50 degrees
The formula for the circumference of the circle is 2πr or πd with r being the radius and d being the diameter. These 2 gives the same result because d=2r
Now because we know that the circumference is 15pi, we just need to reverse to find the diameter.
π*diameter=15*π
We can divide π from both sides.
diameter=15
Hope this helped!
Answer:
49/4
Step-by-step explanation:
x^2+7x=4
Take the coefficient of x
7
Divide by 2
7/2
Then square it
(7/2) ^2 = 49/4
Add this to both sides of the equation to complete the square
Answer:
Option (C)
Step-by-step explanation:
In the given circle, AB is a chord passing through the center O.
Therefore,chord AB is a diameter of the circle and OC is the radius.
AO = OB = OC
OC⊥AB, and length of OC = 7 cm
By applying Pythagoras theorem in right ΔBOC,
BC² = OC² + OB²
BC =
=
=
≈ 9.9 units
Therefore, Option (C) will be the answer.
Answer: a=19
Step-by-step explanation: In order to solve this question, we must first take out the parenthesis, we can do this by taking 1/3 and multiply it by a and 5. This will give us 8=1/3a+5/3, with this we can subtract 5/3 on both sides of the equation, which will then give us, 19/3=1/3a. Last, we can divide 19/3 by 1/3 giving us 19 as our final anwser. a=19