Simplify the expression 8(2x+y+z) 10 POINS PLEASE HELP
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
Given
Represent Babysitting with B
Represent Gas Station with G
Total workhours = At most 15
Earnings = At least $90
First, we need to represent the work hours as inequality
B + G = At most 15
At most 15 means less than or equal to 15.
So, we have:
Next, we represent the earnings as inequality.
6 hours of babysitting is: 6B
10 hours at gas station is: 10G
So:
6B + 10G is at least 90
At least 90 means greater than or equal to 90
So, we have:
The value of x is 120°
Explanation:
It is given that ABC is a straight line.
Also, ∠CBE = 20° and ∠CAF = 40°
We need to determine the value of ∠DBE
Let ∠DBE = x
Since, ∠CAF and ∠ABD are alternate interior angles.
By the alternate interior angles theorem, "if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are equal".
Thus, ∠CAF and ∠ABD are equal.
Hence, ∠CAF = ∠ABD = 40°
Since, we know that, the angles in a straight line add up to 180°, we have,
∠ABD + ∠DBE + ∠CBE = 180°
Substituting the values, we get,
40° + x + 20° = 180°
Adding, we have,
60° + x = 180°
Subtracting both sides by 60, we have,
x = 120°
Thus, the value of x is 120°
