So it is an isosceles triangle that means that the bottom two angles are equal...
so
40 = 5x
divide both sides by 5 and you get 8
now the triangle angles add up to 180
we make an equation out of it...
(2y + 20 ) + ( 5(8)) + 40 = 180
2y + 20 + 40 + 40 = 180
combine like terms
2y + 100 = 180
so subtract 100 from both sides
2y = 80
divide by 2 to isolate the variable
y = 40
You are correct!!! :)
Answer:
use the distributive property to distribute the 8
-16+16n+3n=40+5n
-16+19n=40+5n
-16=40+5n-19n
-16=40-14n
-14n+40= -16
-14n= -16-40
-14n= -56
n= -56/-14
n= 4
Answer:
6 n + 6 b + 1
Step-by-step explanation:
Simplify the following:
11 b - 7 - 3 n + 8 - 5 b + 9 n
Grouping like terms, 11 b - 7 - 3 n + 8 - 5 b + 9 n = (9 n - 3 n) + (11 b - 5 b) + (8 - 7):
(9 n - 3 n) + (11 b - 5 b) + (8 - 7)
9 n - 3 n = 6 n:
6 n + (11 b - 5 b) + (8 - 7)
11 b - 5 b = 6 b:
6 n + 6 b + (8 - 7)
8 - 7 = 1:
Answer: 6 n + 6 b + 1
Answer:
i. 30 degrees
ii. 30 degrees
Step-by-step explanation:
The exterior angles of a triangle always add up to 360 degrees. Using this, you can set up the following equation.
3y+4y+5y=360
y=30 degrees
The smallest interior angle corresponds to the largest exterior angle. 5y=5*30= 150. Subtracting this from 180 you get 30 degrees, or the smallest interior angle. Hope this helps!
Answer:
X=9
Step-by-step explanation:
3x-15=12
Add 15 to both sides which makes it
3x=27
Divide by 3, which gives you 9
