Answer:
Since EF bisects ∠DEF, we know that EF splits ∠DEF in 2 halves from the word 'bisects', which can be written as 'bi- sects' , where bi means 2 and sects means sections
Hence, ∠DEG = ∠GEF --------------(1)
We are given the measure of these angles:
∠DEG = 3x - 4
∠GEF = x + 13
Now, replacing the values in (1):
3x - 4 = x + 13
2x = 17
x = 17/2
Now, finding the measure of ∠DEF:
∠DEF = ∠DEG + ∠GEF
∠DEF = 3x - 4 + x + 13
∠DEF = (51 / 2) - 4 + (17/2) + 13 (x = 17/2)
∠DEF = 34 - 4 + 13
∠DEF = 43°
Answer:
b) a > 4
Step-by-step explanation:
<u>Step(i)</u>:-
Given inequality equation
2 a + 4 > 12
subtracting ' 4' on both sides , we get
2 a + 4 -4 > 12 -4
2 a > 8
<u><em>Step(ii)</em></u>:-
dividing '2' on both sides , we get
a > 4
Randy averages .66 Runs per inning
Felix averages .8 Runs per inning
Johan averages .71 runs per inning
Therefore, Randy has the lowest number of runs allowed per inning.
Is there anyway you can take another picture so that I can see it
Hi there! :)
C. has both jump and infinite discontinuity.
Evaluate both piecewise functions at x = 1;
1 / (x + 1) = 1 / ((1) + 1) = 1/2
2x - 1 = 2(1) - 1 = 1
As the piecewise functions contain different y-values when evaluated at
x = 1, there is a jump discontinuity at x = 1.
However, the first function also contains a vertical asymptote or infinite discontinuity where it is undefined, or at x = -1. (1 / 0 = undefined). This means that the function also contains an infinite discontinuity.
Therefore, the correct choice is:
C. has both jump and infinite discontinuity.
