Answer:
Step-by-step explanation:
The sum of the angles in a triangle is 180 degrees. This means that
Angle A + Angle B + Angle C = 180 degrees
Looking at the triangle,
Angle A = (15x + 10) degrees
Angle B = (15x - 10) degrees
Angle C = (3x + 15) degrees
Therefore,
15x + 10 + 15x - 10 + 3x + 15 = 180
15x + 15x + 3x + 10 - 10 + 15 = 180
33x + 15 = 180
Subtracting 15 from the left hand side and the right hand side of the equation, it becomes
33x + 15 - 15 = 180 - 15
33x = 165
Dividing the left hand side and the right hand side of the equation by 33, it becomes
33x/33 = 165/33
x = 5
Angle A = 15 × 5 + 10 = 85 degrees
Answer:
Length = 225 ft
Width = 150 ft
Step-by-step explanation:
If L is the length and W is the width, then:
900 = 2L + 3W
A = LW
Solve for W in the first equation:
3W = 900 − 2L
W = 300 − ⅔ L
Substitute into the area equation:
A = L (300 − ⅔ L)
A = 300L − ⅔ L²
Use calculus to find dA/dL and set to 0, or use the formula for vertex of a parabola.
Using calculus:
dA/dL = 300 − 4/3 L
0 = 300 − 4/3 L
L = 225
Using vertex formula:
L = -b / (2a)
L = -300 / (-4/3)
L = 225
Find the width:
W = 300 − ⅔ L
W = 150
You got the right answers, but the problem says to assume that the length is greater than the width.
Here is my answer for you:
Graph each equation, until you find the one that lines up.
Below is a picture of all the equations on a graph.
Your answer is already in standard form, x-6y=-9.
Answer:
he earns 69 dollars
Step-by-step explanation:
1st grade question now give brainliest 5 stars and heart
Answer:
What is OBJ X = -81
Step-by-step explanation:
