2x+x=105
3x=105
The answer is A
Each box may receive more than one letter.
Answer:
Answer:
Length of leg of triangle =
Step-by-step explanation:
We are given a 45°-45°-90° triangle with hypotenuse measuring 18 cm.
Let us assume the following labeling of the diagram, as attached in the answer area.
The two angles here are equal to 45° so two sides of the triangle opposite to the equal angles will also be equal to each other i.e. it is an isosceles triangle.
i.e. The sides XY and YZ will be equal.
Let XY = YZ = x cm
It is known that in a right angled triangle, pythagorean theorem holds well.
As per pythagoream theorem:
Putting the values:
So, the length of leg of triangle =
Step-by-step explanation:
Write the equation of a line that is parallel to y=-5/4x + 7
Any line parallel to the given line will have the same slope. In an equation presented in the y-intercept form, the slope is always the coefficient of "x". In this case, the slope is -5/4 (meaning the next point is down 5, and 4 to the right).
Our equation so far looks like this: y = -5/4x + b
"b" represents the y-intercept. To solve for be, we will need to substitute values into x and y. The next piece of information it gives us is one of the points, or solutions, of the line. This means that since this point is on the line, we can use its x and y values to substitute.
x = -4
y= 1
y = -5/4x + b
1 = -5/4(-4) + b
1 = 5 + b
-4 = b
Final Answer: y = -(5/4)x -4
Answer:
The equation of the line would be y = 4/9x
Step-by-step explanation:
In order to find the equation, we first need to find the slope. We can do this by using the slope equation with the points.
m(slope) = (y2 - y1)/(x2 - x1)
m = (9 - 0)/(4 - 0)
m = 9/4
Now that we have this, we can use point-slope form along with one of the points to get the equation.
y - y1 = m(x -x1)
y - 0 = 4/9(x - 0)
y = 4/9x
