Choose the correct item from each drop-down menu to factor the trinomial 6y2 + 19y + 15 by grouping.

Regardless of the value of M, it will correspond to 18m squared.

The reasoning follows that both angles are 90 degrees.

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

Jason can confirm the accuracy of his solution by substituting the calculated x value back into the original equation to check if it holds true. If the equality fails, it indicates that his calculated x is incorrect.

Response: Therefore, the fraction of times heads appeared out of the entire tosses is 0.583

Detailed explanation:

Considering the following:

Total number of tosses for the coin = 60

Total occurrences of heads = 35

Calculated proportion of heads landed:

Total occurrences of heads / total number of coin tosses

Calculated head landing proportion:

= 35 / 60 = 7 / 12 = 0.5833