A basketball player scored 14 times during one game. She scored a total of 15 ​points, two for each​ two-point shot and one for each free throw. How many​ two-point shots did she ​make? How many free​ throws? She made two-point shots

The player made one two-point shot and 13 free throws.

Step-by-step explanation:

We can write a system of equations to model the situation.

Let t represent the number of two-point shots and let f represent the number of free throws made.

Since she scored a total of 14 times, the sum of two-pointers and free throws must equal 14. Hence:

And since she scored a total of 15 points and each two-pointers is worth two points and every free throw is worth one:

Solve the system. We can use elimination. From the first equation, multiply both sides by negative one:

We can add this to the second equation:

Simplify:

So, the player made only one two-point shot.

Using the first equation again, substitute one for t and solve for f:

Therefore, the player made one two-point shot and 13 free throws.

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step-by-step explanati∵∵∴∴on:

answer

a,b, and d

explanation

a reflection angle is more than

but less than;

an angle that measures

is a reflex angle.(true)

an angle that measures less than

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)