We recognize that two angles, ∠UVW and ∠XYZ, are complementary, which means their sum is 90°.
Their measures are given as:
∠UVW = x - 10
∠XYZ = 4x - 10
Adding these, we have:
(x - 10) + (4x - 10) = 90
Simplifying:
5x - 20 = 90
Adding 20 to both sides:
5x = 110
Dividing by 5:
x = 22
Substituting back:
∠UVW = 22 - 10 = 12°
∠XYZ = 4(22) - 10 = 78°
Therefore, the values are:
x = 22°
∠UVW = 12°
∠XYZ = 78°
Answer:
Vertex: (1, -4)
intercept: (-3, 0)
Step-by-step explanation:
Let's be honest, you're not here for a detailed breakdown; you simply want the answer.
HOWEVER... the vertex corresponds to the Y-axis while the intercept aligns with the X-axis.
We start with
Next, we can factor out the term on the right side
Now, we will substitute back
resulting in
So,
.............Response
Step-by-step explanation: We have the dimensions of a rectangular field given in feet. We are informed that an extension of
feet is made to each side. Therefore, the new dimensions can be calculated accordingly. Hence, they are presented as .
Among the given options, number 3 is accurate. A line is classified as an undefined term since it represents something that lacks width or depth, yet it can extend infinitely in both directions, indicated by arrowheads.
