We have been given an image of a circle. We are asked to find the value of each variable.
We can see that angle b corresponds to diameter of circle. We know that the measure of an angle that is inscribed to the diameter of a circle is 90 degrees . Therefore, the value of b will be 90.
we can see that angle is an inscribed angle of arc 99 degrees. We know that measure of an inscribed angle is half the measure of inscribed arc.


Therefore, the value of a is 49.5 units.
We know that measure of all angles of a triangle is 180 degrees. The measure of 3rd angle will be half the measure of c, so we can set an equation as:







Therefore, the value of c is 81.
Answer:210ml, 140 ml, 60%
Step-by-step explanation:
Given
Juli has 200 ml of 35% hand sanitizer
Sarah has 150 ml of 85% hand sanitizer
The mixture has 60% con. i.e. 60 % is Alcohol and 40 % water
The final volume of the mixture =200+150=350 ml
Now, 60% of 350 ml= 
So, pure Alcohol is 210 ml
Water in the final mixture= 
The concentration of Alcohol is 60%
What prism I think you forgot something
Answer:
x = 3
Step-by-step explanation:
To find the value of x. We have to use Exterior Angle Theorem.
It is says "The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle."
In the given figure,
45x = 25x + (57 + x)
Now let's find the value of x.
First we need to isolate the variable terms
45x - 25x = 57 + x
20x - x = 57
19x = 57
x = 57/19
x = 3
The value of x = 3.
Thank you.