Answer:
x = 6
Step-by-step explanation:
These are supplementary angles.
This means that the angles add up to 180 degrees.
The first thing we can do is set 6y equal to 90, because the little red box means that is 90 degrees.
6y = 90
y = 15
Now that we have found y we can solve for x.
Plug in the y to the 5x + 4y
5x + 4(15)
5x + 60
We can set this equal to 90 again
5x + 60 = 90
5x = 30
x = 6
Therefore x is equal to 6.
<em>I hope this helps!!</em>
<em>- Kay :)</em>
Step-by-step explanation:
YO ≅ NZ
Given
YO + OZ ≅ NZ + OZ
Additive property
YZ ≅ NO
Segment addition postulate
∠M ≅ ∠X, ∠N ≅ ∠Y
Given
ΔMNO ≅ ΔXYZ
AAS congruence
Answer:
y = (x-0)^2 + (-5) ⇒ y = x^2 - 5
Step-by-step explanation:
The general vertex form of the parabola y = a(x - h)² + k
Where (h,k) is the coordinates of the vertex.
As shown at the graph the vertex of the parabola is the point (0, -5)
So,
y = a(x-0) + (-5)
y = ax^2 - 5
To find substitute with another point from the graph like (1,-4)
So, at x = 1 ⇒ y = -4
-4 = a * 1^2 - 5
a = -4 + 5 = 1
<u>So, the equation of the given parabola is ⇒ y = x^2 - 5</u>
Steps to solve:
x^3 - 125 = 0
~Add 125 to both sides
x^3 = 125
~Take cube root of both sides
x = 5
Best of Luck!
