Answer:
d = 69°, e = 32°, f = 79°
Step-by-step explanation:
the 69° angle and d are vertical angles, so d is 69°.
same with e and the 32° angle, so e is 32°.
the 69° angle and f are on a straight angle, which means they, and e, add up to 180° when combined.
69 + 32 = 101
180 - 101 = 79
so f is 79°.
Answer:
6 years
Step-by-step explanation:
So each person's age can be represented as a linear equation, since each year our age increases by 1. It can be represented in the slope-intercept form: y=mx+b. The slope in this case is going to be 1, since the time is going to be years, and each year everyone's age goes up by 1 (of course if you're still alive...) and y-intercept in this case represents their current age.
So the father can be represented as: y=x+38
The sons can be represented as: y = x+13 and y=x+5
The daughter can be represented as: y=x+8
So adding up all his children you get:
(x+13)+(x+5)+(x+8)
This gives you the equation:
3x+26
Now set this equal to the father's age to solve for x (in this context it's years)
3x+26=x+38
Subtract from both sides
2x+26=38
Subtract 26 from both sides
2x=12
Divide both sides by 2
x=6
So in 6 years the father will be the same age as his children put together
Answer:
Option D, 2x^2y(x - 1)(x^2 + x + 1)
Step-by-step explanation:
<u>Step 1: Factor</u>
2x^5y - 2x^2y
2x^2y(x^3 - 1)
<em>2x^2y(x - 1)(x^2 + x + 1)</em>
<em />
Answer: Option D, 2x^2y(x - 1)(x^2 + x + 1)
The solution of 
is 
<em><u>Solution:</u></em>
Given that we have to find the solution of given expression
Given expression is:
Let us first convert the mixed fraction to improper fraction
Multiply the whole number part by the fraction's denominator.
Add that to the numerator.
Then write the result on top of the denominator.
Therefore,
Now the expression becomes,
Solve and simplify the above expression
In decimal form we get,
Thus the solution to given expression is found
