6 is 4.9 and 6.2 but i’m not sure about 7 tho
Answer:
<em> A number on the left is less than a number on the right. A number on the right is greater than a number on the left. You can also try the zoomable number line. Place these people on the number line to find who is poorest and who is richest.</em>
Answer: option d. the argument is valid by the law of detachment.
The law of detachment consists in make a conlcusion in this way:
Premise 1) a => b
Premise 2) a is true
Conclusion: Then, b is true
Note: the order of the premises 1 and 2 does not modifiy the argument.
IN this case:
Premise 1) angle > 90 => obtuse
Premise 2) angle = 102 [i.e. it is true that angle > 90]]
Conclusion: it is true that angle is obtuse
The line of reflection is what the graph flips over. You can find the line with two points, and a point on the reflection line is the midpoint of a point and the corresponding point in the after-image.
The first one reflects over the y-axis, or x=0. One point is (-2, 1) and its corresponding point is (2, -1). The midpoint is found by the average of the two coordinates, which is (0,0). Pick another pair of points and find the midpoint which you should get (x,0).
You have two points (0,0) and (x,0) and they form a line, which is the y-axis, or x=0.
The line of reflection for the 1st one is x=0 (y-axis).
Answer:
Smaller number: 12
Greater number: 31
Step-by-step explanation:
Hi there!
Let x equal to the smaller number.
Let y be equal to the greater number.
<u>1) Translate the information into equations</u>
"One is 7 more than twice the other"
⇒ 
"The sum of the numbers is 43"
⇒ 
<u>2) Use substitution to solve for the smaller number</u>

Plug the equation
into the above equation

Subtract both sides by 7

Divide both sides by 3 to isolate x

Therefore, the smaller number equates to 12.
<u>3) Use substitution to solve for the greater number</u>

Plug in x as 12

Subtract both sides by 12 to isolate y

Therefore, the greater number equates to 31.
I hope this helps!