Answer:
12n -5 ≤ 55
Step-by-step explanation:
12 times a number (represented by n) is 12n.
"Decreased by 5" means 5 is subtracted from the product, giving 12n-5.
"Is no more than 55" means "is less than or equal to 55".
Then the expression written using math symbols is ...
12n -5 ≤ 55
<span>The <u>correct answers</u> are:
A ray is a bisector of an angle if and only if it splits the angle into two angles; and
A) I can afford to buy a ticket.
Explanation<span>:
For the first question, the first three answers are very specific and true:
A whole number is odd if it is not divisible by 2, and a number is not divisible by 2 if it is odd;
an angle is straight if its measure is 180 degrees, and the measure of an angle is 180 degrees if it is a straight angle;
a whole number is even if it is divisible by 2, and a number is divisible by 2 if it is even.
However, with the fourth choice, we are missing a key word in the definition. A ray is a bisector of an angle if and only if it splits the angle into two <u>CONGRUENT</u> angles. It is not just a ray that cuts an angle into two pieces, the pieces must be equal.
For the second question, the Law of Detachment says if our conditional "if p, then q" is true and p is true, then q must also be true.
For this question, "I can go to the concert if I can afford to buy a ticket" is true as well as "I can go to the concert." This means "I can afford to buy a ticket" must be true as well.</span></span>
Step-by-step explanation:
Answer:
Dimensions = 21 centimeters by 4.2 centimeters.
Step-by-step explanation:
Let the length of the rectangle be L.
Let the width of the rectangle be W.
Given the following data;
Perimeter of rectangle = 50cm
Translating the word problem into an algebraic expression, we have;
L = 5W
To find the dimensions of the rectangle;
Perimeter of rectangle = 2L + 2W
50 = 2L + 2W
50 = 2(5W) + 2W
50 = 10W + 2W
50 = 12W
W = 50/12
W = 4.2 cm.
To find the length;
L = 5W
L = 5*4.2
L = 21 cm.
Answer:
what?
Step-by-step explanation:
..................................................
