<h3>
▄▄▄▄▄▄▄▄▄▄▄▄▄▄</h3>
We know that, Two angles are said to be complementary, if the sum of their measures is 90°.
<u>According to the Question</u>,
⇒ ∠ABD + ∠DBC = 90°
⇒ (2x + 30)° + (3x + 20)° = 90°
⇒ 2x + 30° + 3x + 20° = 90°
⇒ 5x + 50° = 90°
⇒ 5x = 90° - 50°
⇒ 5x = 40°
⇒ x = 40°/5
⇒ x = 8
<u>So</u>, <u>t</u><u>he measure of each angle will be</u>,
⇒ ∠ABD = (2x + 30)°
= 2 × 8 + 30°
= 16 + 30°
= 46°
⇒ ∠DBC = (3x + 20)°
= 3 × 8 + 30°
= 24 + 30°
<h3>
= 54° ▄▄▄▄▄▄▄▄▄▄▄▄▄▄</h3>
you answer is 10 hope this help[s :D
First, identify the formula you will use.
sum of all scores / number of scores = 225.
(192 + 214 + 250 + x) / 4 = 225
192 + 214 + 250 + x = 900
x = 900 - 656
x = 244
Answer:
C. k=68, t=52
Step-by-step explanation:
Let u, v, y represent the measures of the unmarked angles at the respective vertices. The angles of the equiangular triangle are all 180°/3 = 60°, so we have the relations ...
- y=v
- y+v+k = 180
- v+64+60 = 180
- u=64
- u+64+t = 180
From these relations, we know that
... v = 180 -124 = 56 . . . . . 3rd equation above
... 56 +56 +k = 180 . . . . . . 2nd equation above, with y=v=56
... k = 180 -112 = 68 . . . . . above with 112 subtracted
... t = 180 -128 = 52 . . . . . 5th equation above with u=64 and 128 subtracted
This is the concept of commercial arithmetic, to solve for the time taken for loan of $548,048 to earn an interest of 50,000 given an interest rate of 9%. We use the formula:
A=P(1+r/100)^n
Where;
A=Future amount=548,048+50000=$598,048
P=principle
r=rate
n=time
thus;
598,048=548048(1+9/100)^n
1.0912=(1+0.09)^n
getting the logs of both sides
ln 1.0912=n ln1.09
thus
n=(ln 1.0912)/(ln 1.09)
n=1.01 years
The answer is 1 year
