Using the info given, solve for the missing value of the right triangle. Round each angle to the nearest degree, each length to

Answer:

Steven is mistaken.

Step-by-step explanation:

Steven has

• 9 unique shirts
• 5 unique hats
• 4 unique scarves.

He selects only two out of the three types of clothing. The combinations can be calculated as

• options to select a shirt and a hat;
• options to select a hat and a scarf;
• options to select a shirt and a scarf.

In total, there are

different methods to choose just two out of the three clothing items.

As a result, Steven is not correct.

Response:

∠PQL=∠TRN [Angles corresponding]

Thus, PQ║RS and PQ=RS

Detailed explanation:

The side PQ has been drawn.

A second side QR is traced, forming an acute angle with side PQ.

Now side QR is extended to the left.

Create an arc from point Q such that it intersects QP at M and extends RQ at L. Without altering the compass width (i.e., the distance between the nib and pencil), draw an arc from R to intersect RQ at N. Now measure the distance LM with a compass. Position the compass at N and mark an arc cut from point R. Designate this intersection as T. Draw a line from point R through T. Then measure the length of PQ with the compass. Position your compass at R and create an arc on the produced line RT at S. Thus, we ascertain that PQ║RS and PQ=RS.

This occurs because

∠MQL=∠NRT [corresponding angles, with QR acting as the transversal]

Out of the four students who illustrated their explanations

Student 2 presented a partially correct but valid explanation.

Answer:

The option is D: Absolute value function

Step-by-step explanation:

The absolute value indicates how far a number is from 0 on the number line, in either direction.

We have the function;

f(x) = |2x³ - 3x| + 5

This function holds an absolute value operator which is |2x³ - 3x|.

Consequently, this function is characterized as an absolute value function since it includes algebraic terms enclosed in absolute value notation.