Answer:
X=9 or x=-9
Step-by-step explanation:
X^2=81
Can be written as
x^2-81=0
Factorize by the property:
a^2-b^2=(a-b)(a+b)
So the expression becomes:
(x-9)(x+9)=0
Therefore, either x-9=0or x+9=0
Then the solutions are x=9 or x=-9
Answer:
65.4
Step-by-step explanation:
60*.09 = 5.4
60+5.4 = 65.4
Given the triangle
PQR
with points
P(8,0)
Q(6,2)
R(-2,-4)
And the triangle
P'Q'R'
with points
P'(4,0)
Q'(3,1)
R'(-1,-2)
Part A. Scale factor
Using the vertex
P( 8, 0)
P'(4,0)
the dilatation factor is given by
The triangle has a dilatation factor of 1/2
Part B:
P''Q''R'' after using P'Q'R' reflected about the y axis
to make a reflection over the y axis
coordinates (x,y) turn into coordinates (-x,y)
as follows
Then triangle P''Q''R'' has coordinates
P''(-4,0)
Q''(-3,1)
R''(1,-2)
Part C:
PQR is congruent to P''Q''R''?
Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.
Then the triangles are not congruent
Answer:
21060°
Step-by-step explanation:
117x180°
=21060°
Answer:
15
Step-by-step explanation:
So, leets look at the graph.
We can see that the lines being solved for tecnically make up 180 degrees.
This is because the value of the angles on line m are equal to the value of the angles on line n.
So, we know that the total line, 180 degrees, is 7x-10, and 6x-5.
Lets combine these two equations, and subtract them from 180 degrees to solve for x:
7x-1+6x-5
=
13x-15
Now to solve for x:
13x-15=180
Add 15 to both sides to get 13x alone:
13x=195
Then divide both sides by 13 to get x alone:
x=15
So our value of x is 15!
Hope this helps! :)
