Answer:
m<1 = 118
Step-by-step explanation:
The remote angles theorem states that when one extends one of the sides of a triangle, the sum of the two non-adjacent angles is equal to the measure of the angle between the extension of the side and a side of a triangle. One can apply this theorem here by stating that
(28) + (90) = m<1
Remember, a box around an angle signifies that its measure is (90) degrees.
Solve this problem by performing the operation,
118 = m<1
Answer:
x + 6x+10 + x+2 = 180
x = 21
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
x + 6x+10 + x+2 = 180
Combine like terms
8x + 12 = 180
Subtract 12 from each side
8x+12-12 = 180-12
8x =168
Divide each side by 8
8x/8 = 168/8
x =21
hope this helps I found this in my notes and looked it up to see if its correct .
Answer:
y = 3
Step-by-step explanation:
Let's start with the left side of the equation.
5(y-2)-2= 2(y+1)-5
5y-10-2= 2(y+1)-5
Now let's solve the right side
5y-10-2= 2y+2-5
5y-12= 2y-3
-2y -2y
3y-12=-3
+12 +12
3y = 9
3y/3 = 9/3
y = 3
hope this helps!
Answer:
Vertex is at
(
2
,
−
4
)
Step-by-step explanation:
x
v
e
r
t
e
x
=
−
b
2
a
;
y
v
e
r
t
e
x
=
f
(
−
b
2
a
) given the equation in the standard form of
a
x
2
+
b
x
+
c
Given :
y
=
x
2
−
4
x
+
0a
=
1
,
b
=
−
4
,
c
=
0
x
v
e
r
t
e
x
=
−
(
−
4
)
2
⋅
1
=4
2
=
2
y
v
e
r
t
e
x
=
f
(
2
)
=
(
2
)
2
−
4
(
2
)
=
4
−
8
=
−
4
Vertex : (
x
,
y
)
=
(
2
,
−
4
)
graph{x^2-4x [-6.43, 7.62, -5.635, 1.39]}
