Answer: 128 degrees
Explanation:
Using the interior angles formula, 180(n-2), where n is the number of sides, we can determine that the interior angles must add up to 180(3) or 540. Therefore, 98+104+120+90+x=540
Simplify:
412+x=540
x=128
Hey there!
5x - 50 + 2x + 80 - x = 180
COMBINE the LIKE TERMS
= 6x + 30 = 180
SUBTRACT 30 to BOTH SIDES
6x + 30 - 30 = 180 - 30
CANCEL out: -30 - 30 because that gives you 0
KEEP: 180 - 30 because it helps solve for the x-value
6x = 180 - 30
180 - 30 = 150
NEW EQUATION: 6x = 150
DIVIDE 6 to BOTH SIDES
6x/6 P 150/6
CANCEL out: 150/6 because that gives you the result of the x-value
x = 150/6
SIMPLIFY IT!
x = 25
Therefore, your answer is: x = 25
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
There are 59 integer solutions
Such questions are best solved by writing cases and calculating the total number of cases. So beginning with
1) x = -3. The possible combinations are as follows:-
-3 2 13
-3 3 12
-3 4 11
-3 5 10
-3 6 9
-3 7 8
-3 8 7
-3 9 6
-3 10 5
-3 11 4
10 combinations
2) x = -2
-2 2 12
through
-2 11 3
10 combinations
3) x = -1
-1 2 11
through
-1 10 3
9 combinations
4) x = 0
0 2 10
through
0 9 3
8 combinations
as we can see from the pattern at x =1 we get 7 combinations, at x =2 we get 6 combinations, at x=3 we get 5 combinations and at x =4 we get 5 combinations.
Thus total number of combinations 4+5+6+7+8+9+10+10 = 59 integer solution.
Learn more about combinations here :
brainly.com/question/13387529
#SPJ1
Answer:
1. 1458
2. 500 or -500
Step-by-step explanation:
1. a4=54, a5=162
r = 162/54 = 3
a7 = a5 × r²
= 162 × 3² = 1458
2.a4=-4, a6=-100
r² = -100/-4 = 25
r = +/- 5
a7 = a6 × r
= -100 × +/- 5
= +/- 500
Answer:
x=11.9 mm
Step-by-step explanation:
