Answer:
x=12, y= 20
Step-by-step explanation:
We can find x using the pythagorean thereom because ABD is a right triangle.(D is the point between segments with legnth 5 and 11)
AC^2 + CD^2 = AD^2
x^2 + 5^2 = 13^2
x^2 = 25 = 169
x^2 = 144
x = 12
We may now find y using the pythagorean thereom because ABC is a right triangle. Right now we know x = 12
AC^2 + CB ^2 = AB^2
12^2 + 16^2 = y^2
144 + 256 = y^2
y^2 = 400
y= 20
<em>I hope this helps! :)</em>
Answer:
Option C, 14/21=9/21 is the proportion.
Step-by-step explanation:
Given:
a.5/7 = 10/12
b.9/15 = 12/18
c.4/6 = 8/12
d.14/21 = 9/12
We have to find the proportions.
In proportion two ratios are equal, as it has an equality sign in between so both side must be of same ratio in its simplest form.
Let's work with option C
⇒ 
To find the simplest form we have to divide the numerator and denominator with same digit (or its factor).
Simplest form of 
= 
, 
= 
Simplest form of =
Both sides in option C have equal ratios of 2/3.
So 4/6=8/12 is in proportion.
2x+3x -9. You can simplify this to 5x-9.
In the given figure,
Angle 108° + 12x = 180°
because they for pair of co- interior angles which are supplementary.
so,
hence , value of x = 6°
Sue's total pay of year will have three parts
1) Fixed Salary for 12 months
one month salary = £1410
so 12 month salary = £1410 x 12 = £16920
2) 26% of total profit
Total cost to the company- £473,500
Total income for the company - £549,000
Profit = Total income for the company - Total cost to the company
= £549,000 - £473,500 = £75500
Sues income from profit = 26% of £75500 = (26 × 75500)/100 = £19630
3) Bonus if Sue sells at least 16 cars
Given number of months when sue solds atleast 16 cars = 4
So bonus income = 4 × 390 = £1560
Adding the three above parts
Sue's total pay for the year = £16920 + £19630 + £1560 = £38110
