Answer:
ABC = 35
Step-by-step explanation:
x and 3x-70 are corresponding angle and corresponding angle are equal when the lines are parallel
x = 3x-70
Subtract 3x from each side
x-3x = 3x-70-3x
-2x= -70
Divide by -2
-2x/-2 = -70/-2
x = 35
x = 3x-70 = 35
if you look at the part where the first part connects with the second part:
y = 5 if x < - 2
y = -2x + 1 if -2 ≤ x < 1
we don't have a discontinuity there, so there shouldn't be a dot.
<h3>
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What is wrong with the graph?</h3>
When we graph over intervals like (a, b) or [a, b] or something like that, we use dots to define the end of the intervals, and to denote that the function ends abruptly or we have a jump.
In this case, you can see that between the end and the second part and the beginning of the third part there is a jump, so the use of dots is correct there, but if you look at the part where the first part connects with the second part:
y = 5 if x < - 2
y = -2x + 1 if -2 ≤ x < 1
we don't have a discontinuity there, so there shouldn't be a dot.
That is the only error with the graph.
If you want to learn more about piecewise functions:
brainly.com/question/3628123
#SPJ1
The answer is 12+k because sum means addition and it says 12 and k therefore you and 12 and k together and the algebraic expression would be 12+k
Answer:x=8
Step-by-step explanation:
3×4 = 12 so 2×4 = 8
Since no possible correct method is posted, I will suggest a couple.
Method 1: guess and check
Works well for simple problems involving integers like this one.
Victor's age must be zero or greater than one, say one.
Guess v=1, find m=v+6=7, check m=5v-2=5-2=3 no good.
we need to make v bigger
Guess v=2, find m=v+6=2+6=8, check m=5v-2=5*2-2=8 ✔
So v=2, m=8.
Method 2:
Solve the system of two equations.
since the left-hand sides is m in both equations, and since m=m, we just have to equate the right-hand sides to solve for v.
5v-2=v+6
Solve for v
5v-v = 6+2
4v=8
v=2,
so again, v=2, m=v+6=2+6=8.
