P= perimeter = 62 = 15+10+13+x = 38+x
then x=62-38= 24
A= 1/2 * (10+24) *h
204 = 1/2 * 34 * h
204*2 * 1/34 = h
12= h
then h= 12
Answer:
y = 1%
Step-by-step explanation:
From the formula;
Interest; i = PRT/100
P = £5000
R = 10%
After 1 year, we have;
i = 5000 × 10 × 1/100 = £500
Amount is now; 5000 + 500 = £5500
Since interest rate is now y% every year after the first one, then;
After 2nd year;
i = (5500 × y × 1)/100
i = 55y
So amount is now;
5500 + 55y
After 3rd year, interest is now;
i = (5500 + 55y) × y × 1/100
i = 55 + 0.55y²
Amount is now;
(5500 + 55y) + (55 + 0.55y²)
Since she has £5610.55 after 3 years, then;
(5500 + 55y) + (55 + 0.55y²) = 5610.55
0.55y² + 55y + 5555 - 5610.55 = 0
0.55y² + 55y - 55.55 = 0
From quadratic formula, y = 1%
Angle KJL and Angle IJL are supplementary angles
Supplementary angles are angles that add up to 180 degrees
X=3; you can set up a proportion using the slope equation. So (y[sub2]-y[sub1])/(x[sub2]-x[sub1])=2/1 then plug in the values and simplify. Then cross multiply and solve for x. Rest of work shown in the picture
