The measure of each base angle is 34 degrees and the measure of the vertex angle is 112 degrees
Find the diagram attached.
The base of the isosceles triangle is "b".
Since the base angles are equal, hence the sum of the interior angle is expressed as:
b + b + 112 = 180
2b + 112 = 180
2b = 180 - 112
2b = 68
b = 68/2
b = 34 degrees
Hence the measure of each base angle is 34 degrees and the measure of the vertex angle is 112 degrees
Learn more angles here: https://brainly.in/question/37797326
Equation 1 ==> y - x = -13
Equation 2 ==> -4x + 3y = -51
3(y - x) = 3(-13)
Equation 3 ==> 3y - 3x = -39
Equation 2 - 3
= (3y - 3y) + ( -4x - (-3x) ) = -51 - (-39)
-x = -12
x = 12
Substitude x into equation 1
y - 12 = -13
y = -1
Answer:
16.28 mph ; 79.38°
Step-by-step explanation:
Given the following :
Speed of child due east = 3mph
Speed of ship due North = 16mph
Relative speed of th child is obtained by using Pythagoras rule to find the hypotenus
Relative Speed = Sqrt(3² + 16²)
Relative Speed = sqrt(9 + 256)
= sqrt(265)
= 16.2788 mph
= 16.28 mph
From trigonometry ;
Tanθ = opposite / Adjacent
Tanθ = (16 / 3)
Tanθ = 5.333
θ = tan^-1(5.333)
θ = 79.379°
θ = 79.38°
In the X column put 1, 2, and 3
for the y column, plug in the 1, 2, or 3 into the X
for example, a) y=5x+3
x= 1, 2, 3 y=5(1)+3 = 8
y= 8, 13, 18
Answer:
i have no idea girl or boy
Step-by-step explanation: