Answer:
Step-by-step explanation:
Since y=y for a solution to the system of equations she should just solve
3x-12=-2x+8
Answer:
m∠P = 65°
Step-by-step explanation:
An Isosceles triangle has two sides of equal length and two interior angles of equal measure.
Sum of interior angles of a triangle = 180°
If QO ≅ PQ and the enclosed m∠Q = 50° then m∠P ≅ m∠O
⇒ m∠Q + m∠P + m∠O = 180
⇒ 50 + m∠P + m∠O = 180
⇒ m∠P + m∠O = 130
As m∠P ≅ m∠O:
⇒ m∠P = 130 ÷ 2 = 65°
a and b are the two leg sides
c is the longest side.
a^2+b^2=c^2
a=x
b=9
c=11
a=c-b
11 squared is 121
9 squared is 81
121-81=40
The square root of 40, rounded to the nearest hundredth, is 6.32
Answer:
the third side is 4.
Step-by-step explanation:
Using Pythagorean theorem of a^2 + b^2 = c^2 for right triangles, substitute
the numbers to show ( + = and solve for b. The square root and square cancel each other out, so you get 65 + = 81.
Subtract 65 from both sides to get = 16.
Then take the square root of both sides to get b = which equals 4.
Given:
The measure of three sides of a triangle are 8, 7 and 14.
To find:
The measure of the angle opposite the side of length 8.
Solution:
According to the Law of Cosine:
Let a=8, b=7 and c=14, then by using Law of Cosine, we get
Taking cos inverse on both sides.
Therefore, the measure of the angle opposite the side of length 8 is 22.6 degrees.