Answer:
The correct answer is option D. 69°
Step-by-step explanation:
Points to remember
1). The sum of angles in a linear pair is 180°
2). In a triangle sum of two angles are equal to the exterior angle of third angle
From the figure we can see a triangle in which two exterior angles area given.
<u>To find the value of n</u>
from figure we get,
n = (interior angle of 131° + interior angle of 160°)
interior angle of 131° = 180 - 131 = 49°
interior angle of 160° = 180 - 160 = 20°
n = 49° + 20° = 69°
Therefore the correct answer is option D. 69°
-12=4(x-7)-8x
One solution was found :
x = -4
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
-12-(4*(x-7)-8*x)=0
Step by step solution :
Step 1 :
Equation at the end of step 1 :
-12 - (4 • (x - 7) - 8x) = 0
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
4x + 16 = 4 • (x + 4)
Equation at the end of step 3 :
4 • (x + 4) = 0
Step 4 :
Equations which are never true :
4.1 Solve : 4 = 0
Hope this helps you, Have a nice day.
Answer:
Step-by-step explanatioThe chosen topic is not meant for use with this type of problem. Try the examples below.
2
(
x
2
−
1
)
=
16
,
(
0
,
4
)
8
=
2
(
3
x
+
3
)
2
,
(
−
1
,
3
)
x
(
x
+
4
)
=
24
,
(
−
2
,
9
)
n:
The answer would be 11 gallons.
The tub starts with 32 gallons. Every minute it loses 3 gallons.
So after 1 minute it has lost 3 gallons. For example:
32-3= 29 Meaning that after 1 minute the tub has 29 gallons left.
Now you have to remember that the tub is draining for 7 minutes. So it is losing 3 gallons 7 times, because it loses 3 gallons each minute and there are 7 minutes.
We can use multiplication to find how many gallons the tub loses after 7 minutes. This sign “X” basically means “groups of”. We have 7 groups of 3, or
7 X 3
This is the same as saying we have 3, 7 times. Written like this:
3+3 +3 +3 +3 +3 +3 = 21
So after 7 minutes the tub has lost 21 gallons.
Now we take the original number of gallons and take away what was lost:
32-21=11
So there are 11 gallons left after 7 minutes.
Please let me know if you need any further explanation. Hope this helped.
