In triangle LTM, segment XY is the perpendicular bisector of side TM.

- Explain the difference between BC and CB.

Olenka [21]

Answer:

BC and AD mean the same thing as BCE and CE. Image via Artoba Tours.

7 0

3 years ago

Toby has 75% as many comic books as Mitch. Jarrett has 25% more comic books than Mitch. If Toby has 45 comic books, how many com

RSB [31]

Answer:

Jarrett has 75 comics

Step-by-step explanation:

T = Number of comic books Toby has.

M = Number of comic books Mitch has.

J = Number of comic books Jarrett has.

Toby has 75% as many comic books as Mitch.

T = 3/4 * M

This is because 75% = 75/100 = 3/4

Jarrett has 25% more comic books than Mitch.

J = 5/4 * M

This is because 125% = 125/100 = 5/4

If Toby has 45 comic books, how many comic books does Jarrett have.

1) Substitute T = 45 and Solve for M

T = 3/4 * M

45 = 3/4 * M

45 ÷ 3/4 = M

45 * 4/3 = M

180/3 = M

M = 60

2) Substitute M = 60 and Solve for J

J = 5/4 * M

J = 5/4 * 60

J = 300/4

J = 75

Jarrett has 75 comics

3 0

3 years ago

How much does it cost to rent a canoe for 3.5 hours? Will mark brainiest!

Usimov [2.4K]

Answer: $38

Step-by-step explanation:

4 0

4 years ago

For the quadrant in which the following point is located, determine which of the functions are positive. (-4, 3) sin cos tan sec

Leya [2.2K]

ANSWER

Positive:

$\sin() , \csc()$

Negative;

$\cos(), \tan(), \cot() , \sec()$

EXPLANATION

The given point is

$(-4,3)$
This is a point in the second quadrant.

In this quadrant, only the sine function and its reciprocal, the cosecant are positive.

The cosine, tangent,cotangent, and cosecant functions are negative.

5 0

3 years ago

The pep club and honor society are joining forces to raise money for school improvements.

Fittoniya [83]

Answer:

Part a) The graph in the attached figure

Part b) see the explanation

Part c) see the explanation

Step-by-step explanation:

Let

x ----> represent pep club donations

y ---> represent donations raised by the honor society

we have

$x+y\geq 500$ ----> inequality A

The solution of the inequality A is the shaded area above the solid line $x+y=500$

$x\geq 100$ ----> inequality B

The solution of the inequality B is the shaded area at right of the solid line $x=100$

Part a) Graph the system of inequalities

using a graphing tool

The solution of the system of inequalities is the shaded area

Remember that the variables x and y cannot be a negative number

see the attached figure

Part b) What does the point (300,100) represent? Is it a viable solution?

The point (300,100) means that the donations raised for pep club was $300 and the donations raised by the honor society was $100

The point (300,100) is not a viable solution, because the point not belong to the shaded area of the solution of the system of inequalities

Verify

If the ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequality

For x=300, y=100

Inequality A

$300+100\geq 500$

$400\geq 500$ ----> is not true

The ordered pair not satisfy the inequality A

therefore

The point (300,100) is not a viable solution

Part c) What does the point (500,200) represent? Is it a viable solution?

The point (500,200) means that the donations raised for pep club was $500 and the donations raised by the honor society was $200

The point (500,200) is a viable solution, because the point belong to the shaded area of the solution of the system of inequalities

Verify

If the ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequality

For x=500, y=200

Inequality A

$500+200\geq 500$

$700\geq 500$ ----> is true

The ordered pair satisfy the inequality A

Inequality B

$500\geq 100$ ---> is true

The ordered pair satisfy the inequality B

therefore

The point (500,200) is a viable solution

3 0

3 years ago