Answer:
A. 
Step-by-step explanation:
We have been given a diagram. We are asked to find the measure of angle ABC.
First of all, we will find measure of major arc AC by subtracting 146 from 360 degrees.
Now, we will use tangent-tangent angle theorem to solve for ABC.
Tangent-Tangent angle theorem states that angle formed by two tangents outside a circle is half the difference of intercepted arcs.
Therefore, the measure of angle ABC is 34 degrees and option A is the correct choice.
Answer:
The ratios are equivalent.
Step-by-step explanation:
If you multiply both 5 and 6, the ratio stays the same.
5:6 = 10:12 = 15:18 = 20:24 etc.
You can try this by dividing the larger number by the smaller number. You'll always get 1.2 as the "relationship", or ratio, is preserved.
24/20 = 1.2
15/18 = 1.2
10/12 = 1.2
6/5 = 1.2
Answer: 20% of 500= 100
So 500-100 = 400
4x100= 400
Step-by-step explanation:
Answer:
The percentage increase in the cost of Boris car insurance cost is 249%
Step-by-step explanation:
In this question, we want to calculate the percentage increase in the cost of car insurance paid by Boris
Mathematically, to calculate this percentage increase, we shall need to make use of a mathematical formula.
Mathematically, the percentage increase would be;
{(new value paid-old value paid)/old value paid} * 100%
From the question, we can identify that the old value paid is £256 while the new value paid is £894
Thus, the percentage increase would be ;
(894-256)/256 * 100% = 638/256 * 100 = 2.4921875 * 100 = 249.21875 which is 249% increase to the nearest whole percentage
For this case we have that the cost of each pizza is given by the following function:
Where:
r: It's the radius of the pizza
IF a pizza cost $26.32 we have:
We cleared the radius, using 
:
We choose the positive value:
So, the radius of the pizza is 
Then, the diameter is: 
Finally, the diameter of the pizza is:
Answer:
Option B
