Answer:

Step-by-step explanation:
Given

Required:
Determine a pair with a proportional relationship
A proportional relationship is:

Where k is the constant of proportionality.

So, we have:


This means that for a pair to have a proportional relation, k must be -1/3.
This is true for (c).
Where:

So, we have:


A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant. The correct option is B.
<h3>What is a circle?</h3>
A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
Given the measure of arc, RS is (2 x + 8) degrees, the measure of arc R U is (3 x minus 14) degrees, and the measure of arc U T is (3 x minus 14) degrees.
(3x-14)° + (3x-14)° + (2x+8)° = 180°
8x -20 = 180
8x = 200
x = 25
Hence, the correct option is B.
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ANSWER
C. 64.29
EXPLANATION
The bigger right triangle is similar to the smaller right triangle, therefore

Multiply both sides by 30;

Simplify


We correct to the nearest hundredthth to obtain,

The correct choice is C.
The equation of a line in slope intercept form is y=mx+b, which when you plug in the numbers becomes y=2x-1.
9514 1404 393
Answer:
∠XWY = 58°
∠YXZ = 32°
∠WVZ = 116°
∠XWZ = 90°
∠XZY = 58°
Step-by-step explanation:
Triangle VWX is isosceles. Its base angles are (180° -64°)/2 = 58°.
∠XWY = 58°
The other corner angles are the complement of this.
∠YXZ = 32°
The obtuse angles at V are the supplement of the one marked
∠WVZ = 116°
We assume the figure is a rectangle, so each full corner angle is a right angle.
∠XWZ = 90°
The remaining angle of interest is congruent to the first angle of interest.
∠XZY = 58°