The value of x from the given circle is 12
<h3>Circle theorem</h3>
Angle at the vertex of the circle is half the angle at its intercepted arc.
From the given circle;
The measure of <DEF = 80/2 = 4x -8
Equate both angles
4x - 8 = 80/2
Add 8 to both sides
4x - 8 + 8 = 40 + 8
4x = 48
x =12
Hence the value of x from the given circle is 12
Learn more on circle theorem here: brainly.com/question/26594685
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<span>(-12) + 22 +(-5) ×100 =
= -12 + 22 - 500
= - 490 </span>
AT this day camp, the greatest number of campers each group can have is 14 campers.
Answer: The third and fourth problem are linear
Step-by-step explanation:
3rd problem follows a pattern
X 6 5 4 3
Y 21 15 10 6
6x3+3=21
5x3=15
4x2+2=10
3x2=6
Problem 4 follows a pattern as well
X value goes up 1, Y value goes up 4
X=the missing value
the median is the middle number, but in this case there are two which happens to be 25 and x
so the formula is
25+x/2=31.5
use algebra to solve
25+x=63
x=63-25
x= 38
Therefore, the missing value is 38.
Hope this helped. Let me know if you have any further questions:)
