Answer:
X and Y = 66.5°.
Step-by-step explanation:
I am assuming that X and Y are the base angles, which are equal in an isosceles triangle.
X = Y = (180 - 47) / 2
= 66.5°.
Answer:
Slope is defined as rise over run, which can be expressed as the difference of the y-coordinates divided by the difference of the x-coordinates. If we rise, we are moving vertically, or along the y-axis. If we run, we are moving horizontally, or along the x-axis.
The formula for the slope m of a line given two points (x1, y1) and (x2, y2) that lie on the line is:
m = (y2 - y1)/(x2 - x1)
m = (15 - 5)/(-6 - 4)
m= 10/-10
m = -1
Now, we can use the slope-intercept form of the equation of a line to obtain the equation of the line that satisfies the conditions outlined in the problem. Slope-intercept form is:
y = mx + b
Again, m represents the slope, while b stands for the y-intercept. We can use either point on the line to represent x and y. Let's choose the point (4, 5)
5 = -1(4) + b
5 = -4 + b
9 = b
The equation of the line is:
y = -x + 9
The first one is 2.78% second one is 3.8% third one is 4.5% and it will be 378
ANSWER
The x-coordinate of the solution to the system of equations is 1.
EXPLANATION
The given equations are:
y = -x - 2
and
y = 2x - 5.
We want to find the x-coordinate of the solution to the system of equations.
We equate the two equations to obtain an equation in x.
This implies that,
2x-5=-x-2
Group similar terms to obtain:
2x+x=-2+5
Simplify
3x=3
Divide both sides by 3.
x=1
The x-coordinate of the solution to the system of equations is 1
<u>Answer:</u>
1.95 cubic feet
<u>Step-by-step explanation:</u>
We are given that Emily stores her jewelry in a cube and the cube has a side length of 
feet.
feet in an decimal form is 1.25 feet.
We know that,
<em>volume of a cube = s
</em>
where <em>s</em> is the side length of the cube.
So substituting this value of side length of cube in the formula to get:
Volume of cube = 
= 1.95 feet
