In triangle XYZ, m∠Z > m∠X + m∠Y. Which must be true about △XYZ?

Which ordered pairs are solutions to the inequality

Kipish [7]

Answer:

(1,-1)

(7,12)

(5,-3)

Step-by-step explanation:

we know that

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

we have

$y-2x \leq -3$

Verify each case

case 1) we have

(1,-1)

substitute the value of x and the value of y in the inequality and then compare the results

$-1-2(1) \leq -3$

$-3 \leq -3$ ----> is true

therefore

The ordered pair is a solution of the inequality

case 2) we have

(7,12)

substitute the value of x and the value of y in the inequality and then compare the results

$12-2(7) \leq -3$

$-12 \leq -3$ ----> is true

therefore

The ordered pair is a solution of the inequality

case 3) we have

(-6,-3)

substitute the value of x and the value of y in the inequality and then compare the results

$-3-2(-6) \leq -3$

$9 \leq -3$ ----> is not true

therefore

The ordered pair is not a solution of the inequality

case 4) we have

(0,-2)

substitute the value of x and the value of y in the inequality and then compare the results

$-2-2(0) \leq -3$

$-2 \leq -3$ ----> is not true

therefore

The ordered pair is not a solution of the inequality

case 5) we have

(5,-3)

substitute the value of x and the value of y in the inequality and then compare the results

$-3-2(5) \leq -3$

$-13 \leq -3$ ----> is true

therefore

The ordered pair is a solution of the inequality

6 0

3 years ago

Ray Horton is a laborer he earns $16.25 per hour how many hours per week must he work if he wants to earn approximately $585.00

Andreas93 [3]

Answer:

36 Hours

Step-by-step explanation:

7 0

3 years ago

What is the greatest common factor of 5, 10, and 45?

Ivanshal [37]

Answer:

It would be 5

Step-by-step explanation:

5 equals everything that is 5 or 10

for example, 5 * 5 equals 25

Odd numbers times 5 equals a odd number with the 5 at the end

Even numbers times 5 equal an even number with a 0 at the end

I hope that helped

6 0

3 years ago

Read 2 more answers

Suppose k and l are fixed numbers. Since the following are lines with different slopes, the graphs of the two lines y=18x+k and

GenaCL600 [577]

answer:

Contd.

Explanation:

We will use the following well-known

Result : The eqn. of a line l passing through the pt. of

intersection of the lines l1:a1+b1+c1=0andl2:a2x+b2y+c2=0 is of

the form

Result :

3 0

3 years ago

3. The completion of a construction job may be delayed because of a strike. The probabilities are 0.60 that there will be a stri

xxTIMURxx [149]

Answer:

0.55 = 55% probability that the construction job will be completed on time

Step-by-step explanation:

We have these following probabilities:

0.6 probability there is a strike. In this case, 0.35 probability that the construction will be completed on time.

1 - 0.6 = 0.4 probability that is not a strike. In this case, 0.85 probability that the construction will be completed on time.

What is the probability that the construction job will be completed on time?

$p = 0.6*0.35 + 0.4*0.85 = 0.55$

0.55 = 55% probability that the construction job will be completed on time

8 0

2 years ago