Consider the table representing a rational function. Which equation could represent a vertical asymptote of the graph of the fun

Based on the provided information about the metals' melting point, boiling point, and density, the response is A. The gold sample transitions from liquid to gas at the highest temperature, while the copper sample occupies the most volume. Gold's boiling point is the highest at 2660, and copper has the lowest density, which correlates with a larger volume since density is defined as mass divided by volume. 

You can easily calculate the result for each segment and then sum them to determine the perimeter of triangle MNK.

Answer:

     The angles m∠Q and m∠S together equal 90°

Step-by-step explanation:

A right angle measures 90°.

The total measure of angles in a triangle sums to 180°.

This gives us:

m∠Q + m∠S + ∠R = 180°

m∠Q + m∠S + 90° = 180°

Rearranging yields:

m∠Q + m∠S = 180° - 90°

m∠Q + m∠S = 90°

Congruent angles have the same measurement.

Let’s evaluate the provided pairs one by one.

A. ∠MKR and ∠OAR

In the diagram, it’s visible that the angle bisector of the right-angled vertices creates angles MKR and OAR.

Thus, they are congruent measuring 45°

B. ∠ONT and ∠MTN

From the diagram, MTN forms a right angle, while ONT is created by bisecting this right angle.

Hence, these angles are not congruent with ∠MTN at 90° and ∠ONT at 45°

C. ∠IRS and ∠MRO

In the diagram, MRO is a right-angle, while IRS results from the bisection of the right angle.

Accordingly, these angles are not congruent with ∠MRO equal to 90° and ∠IRS at 45°

D. ∠URC and ∠TRO

In the diagram, it’s shown that the angle bisector of the right-angled vertices forms angles URC and TRO.

Thus, they are congruent, both measuring 45°

Therefore, the pairs of congruent angles are

A. ∠MKR and ∠OAR and D. ∠URC and ∠TRO

ANSWER:

(-5, 0.5) serves as a solution for the equations x – 4y = –7, 0.2x + 2y = 0.

SOLUTION:

We start with the two equations: x – 4y = -7 → (1)

And 0.2x + 2y = 0 → (2)

We will verify if (-5, 0.5) is a solution.

To do this, we will resolve both equations.

Let’s multiply equation (2) by 2 to facilitate the cancellation of y terms.

This transforms equation (2) into:

0.4x + 4y = 0 → (3)

Now, combine equations (1) and (3), leading to:

1.4x + 0 = -7

Next, input the x value into (2)

0.2(-5) + 2y = 0

-1 + 2y = 0

2y = 1

y = 0.5

Thus, the result for the equations is (-5, 0.5).

Therefore, (-5, 0.5) is the solution to the equations.