Answer:
x = - 45
Step-by-step explanation:
x+23(-23)=−22 (-23)First subtract 23 from both sides
x = - 45
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.
1/9 - 5/6
Convert both of them into denominators of 18.
2/18 - 15/18
Subtract the numerators and keep the denominator:
-13/18
Answer:
7.5 cups of raisins, 10 cups of peanuts and 5 cups of chocolate chips.
Step-by-step explanation:
We are given that,
The amount of ingredients needed for the trail mix are,
Raisins = cup
Peanuts = 1 cup
Chocolate chips = cup
Since, Kiran needs to make 10 cups of the trail mix.
The amount of ingredients needed will be,
Raisins = = = 7.5 cups
Peanuts = 1 × 10 = 10 cups
Chocolate chips = = 5 cups
Hence, the ingredients needed are 7.5 cups of raisins, 10 cups of peanuts and 5 cups of chocolate chips.
Inequality : 19.50n+24≤$110
Solution: Alyssa can buy 4 DVDs
Work: 110-24=86
86/19.50 = 4.4
You can't have a fraction of a DVD, so you have to round down to 4.