You need to add what the lines are if you want them to be analysed for you^^
Answer:
234567
Step-by-step explanation:
The ages are consecutive even numbers.
The youngest child is (x+3) years old.
Every even number is 2 more than the one before it.
So the three ages are
(x + 3), (x + 5), and (x + 7).
Their sum is x+3 + x+5 + x+7 = 3x + 15
But we're told that their sum is 42, so we can write
3x + 15 = 42 <== the equation
Subtract 15 from each side: 3x = 27
Divide each side by 3 : x = 9 <== the solution
So the three ages are 12, 14, and 16.
The oldest child is 16 years old.
The equation in slope intercept form is
Y=.5x+3
The length of side b is 7.61 m.
Here's how the length was calculated:
Let:
length of side a = 12 centimeters
B = 36 degrees
C = 75 degrees
In order to solve an AAS triangle, use the three angles, add to 180 degrees to find the other angle, then, use The Law of Sines to find each of the other two sides.
A = 180 - (36 + 75) = 69 degrees
by using the law of sines:
a / sin A = b / sin B = c/ sin C
we will substitute the given values:
12 / sin (69) = b / sin (36)
b = unknown
12 / 0.93 = b / 0.59
12.9 = b / 0.59
b = 12.9 * 0.59
b =7.61 cm (length of side b)
