Answer:
14. B 9, Isosceles
15. Corresponding angles; alternate interior angles; verticle angles
Step-by-step explanation:
Question 14 explanation -
Because two of the triangle's angles are congruent, this triangle classifies as an Isosceles Triangle. Therefore, we know that sides AB and AC must be congruent. This makes it easy to solve for x...just set both side lengths equal to each other and solve.
mAB = mAC
16 = x + 7
16 - 7 = x + 7 - 7
9 = x
x = 9
Answer:
simplified:
Step-by-step explanation:
- Add the number of marbles (12)
- make a fraction with the number of of blue marbles as the numerator and the total number of marbles as the denominator
Answer:
$165.38
Step-by-step explanation:
In the question, we are asked to work with percentages. We know that the person had bought three items of a total of 250 dollars (38 + 189 + 23). We are told that the items have a 30% discount, another 10% discount on that and a 5% tax increase on all of that.
First, let's work with the 30% discount. The official way of working out the problem you would use the unitary method. The unitary method is when we divide the total cost by 100. So 250/100, is 2.5. We multiply this by the remaining percent (100%- 30%=70%) so 2.5*70 is 175.
Then, we work with ten percent. The only difference is that instead of using the original price with are using the 30% discounted price. If we use the unitary method again we find that 175/100 is 1.75 and that multiplied by 90 (because we are only subtracting the 10% not 30%) is 157.50.
Finally, we do the same for the 5% percent only difference being we add it to 157.50. 157.50/100 is 1.575 and multiplied by 105 (because we are adding 5% onto 100% so it becomes 105%).
The final answer is 165.375 and when rounded to the nearest cent it becomes $165.38.
10(17 + 4) + x =230
170 + 40 + x =230
210 + x = 230
Subtract 210 from both sides.
x = 20
10(17 + 4) + 20 = 230
Answer:
37%
Step-by-step explanation:
To find the percentage of people that supported the home team, we need to find the total number of people.
This is because the percentage of people supporting the home team will be given by:
Number of people supporting home team / total number of people
The total number of people is the people supporting the home team plus the people supporting the visiting team:
1369+2331=3700
<u>Therefore, our percentage will be:</u>
1369/3700
Plug this into our calculator and we get:
0.37
Convert that a percentage for a final answer of 37%