Answer:
Perimeter of a triangle = add all sides
Both the legs of the isosceles triangle are always EQUAL.
x+4x-6+4x-6 = 60
9x-12 = 60
9x = 60+12
9x = 72
x = 8
Answer:
y = x
Step-by-step explanation:
We can use slope-point form.
(y-y1) = m(x-x1)
m is a slope. If the line is parallel than slopes are the same.
y = x + 4, for this line slope = 1, so for line we have to find slope is also 1.
(y-y1) = m(x-x1)
m=1, x1 = 2, y1 = 2
(y - 2) = 1(x-2)
y - 2 = x - 2
y = x
Answer:
Explanation:
The formula for calculating the distance between two points is:
d
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Substituting the values from the points in the problem gives:
d
=
√
(
−
6
−
−
3
)
2
+
(
−
4
−
−
5
)
2
d
=
√
(
−
6
+
3
)
2
+
(
−
4
+
5
)
2
d
=
√
(
−
3
)
2+
1
2
d
=
√
9+
1
d
=
√
10
Or
d
=
3.162
rounded to the nearest thousandth
Answer/Step-by-step explanation:
1. m<UTV = m<RTS = 85°
Reason: Definition of vertical angles.
Vertical angles are congruent to each other. m<UTV and m<RTS are vertical angles pair.
2. m<R + m<S + m<RTS = 180°
Reason: sum of interior angles of a ∆.
3. 3x + 2x + 85° = 180°
Reason: Substitution
4. x = 19
Reason: Algebra
Solving the equation algebraically, we would have the following:
3x + 2x + 85° = 180°
Add like terms
5x + 85 = 180
5x = 180 - 85 (subtraction property of equality)
5x = 95
Divide both sides by 5
x = 19
Answer:
answer is (14x+6) hope it helps