In right triangle qrs, angle r is a right angle. The altitude rt is drawn to hypotenuse qs. If qr is 20 and qs is 25 then find t

Answer:

a) The first inequality is 100 + 55x > 150 + 51x;

b) The final inequality results in x > 12.5

c) Sal's mother will need to use the second phone for at least 13 months.

Step-by-step explanation:

a) Let x represent the number of months.

1. The first phone is priced at $100, with a monthly fee of $55 for unlimited use, leading to a total cost of $(100 + 55x) for x months.

2. The second phone costs $150 with a monthly fee of $51 for unlimited use, resulting in a total of $(150 + 51x) for x months.

3. For the second phone to be cheaper, we set up the inequality:

150 + 51x < 100 + 55x

which simplifies to

100 + 55x > 150 + 51x

b) Now solve this:

55x - 51x > 150 - 100

4x > 50

so x > 12.5

c) This means Sal's mother has to retain the second phone for at least 13 months (since x > 12.5).

Answer:

Angle x = angle 115°.

Step-by-step explanation:

Given: We have two parallel lines intersected by a transversal.

To find: The value of x.

Solution: Since two parallel lines are intersected by a transversal, corresponding angles, which are a pair lying on the same side of the transversal—one being on the interior and the other on the exterior—are equal.

Thus, angle x = angle 115, being corresponding angles.

Therefore, angle x = angle 115.

Answer:

Step-by-step explanation: The error made by the student was dividing the wins by the losses.

The student should have divided the wins by the total number of games played.

Initially, the student ought to have summed 20 and 10 to conclude there were 30 games in total.

Answer:

4.1

Step-by-step explanation:

1.8 multiplied by 0.5 equals 0.9

0.5 multiplied by 0.5 gives 0.25

Calculating 2 times (0.9 plus 0.9 plus 0.25) results in 2 times (1.8 plus 0.25), which is 2 times 2.05

Multiplying 2 by 2.05 results in 4.1

Thus, the result is 4.1

I trust this was useful!