Answer:
D. Triangle QRS is an isosceles triangle because QR = RS.
Step-by-step explanation:
Find the length of each side of the triangle using the formula for calculating the distance between two points.
D = √(x2-x1)²+(y2-y1)²
For side RS
R(0,0) and S(5, -3.322)
RS = √(5-0)²+(-3.322-0)²
RS = √25+11.035684
RS = √36.035684
RS = 6.0029
For side RQ
R(0,0) and Q(-3, -5.2)
RQ = √(-3-0)²+(-5.2-0)²
RQ = √9+27.04
RQ = √36.04
RQ = 6.0033
For side QS
Q(-3,-5.2) and S(5, -3.322)
QS = √(5+3)²+(-3.322+5.2)²
QS = √64+3.526884
QS = √67.526884
QS = 8.22
From the calculation it can be seen that RS=QR
Since the two sides f the triangle are equal, hence the triangle is an isosceles triangle. An isosceles triangle is a triangle that has two of its sides equal
We can use proportions
12/x = 10/5
12*5 = 10x
60 = 10x
x = 6
Check
12/6 = 10/5
2 = 2
Answer:
Its equals to 16m^12p^8
Step-by-step explanation:
Answer: $609.88
Explanation:
Since Mary has two accidents in one year, we will use the note in the problem to compute for the new annual premium.
Using the note in the problem, we have the following steps:
- Subtract $32 from the original premium:
Result = $417.25 - $32 = $<span>385.25
- Then, get 150% of the resulting number in the previous step. First, convert 150% to decimal. So, 150% = 1.5
Result = </span>150% of $385.25 = 1.5 × $385.25 = $<span>577.875
- Finally to get the new premium, we add $32 to the resulting number in the previous step:
New Premium = </span>$577.875 + $32 = $<span>609.875
</span><span>
Since there is no half cents that exists today, we round-off the new premium to the nearest cent. Hence, the new premium is $</span><span>609.88.</span><span>
</span>
Answer: $72
Step-by-step explanation: You have to realize that $54 is 75% of the original price, meaning that $54 is 3/4 of the original. Therefore, you must divide 54 by 3 to get 18, which is 25% of the origianl price. Since you now know what 25% of the original price is, you just have to add 18 to 54 to get $72. 72 dollars is 100% of the original price of the coffee table.