Answer:
RT = 16
AB = 5
HJ = 6
Step-by-step explanation:
To start off a perpendicular bisector is a bisector that makes a 90° angle, and a bisector divides something into two equal parts.
1. So for the first triangle it is asking for the line <u>RT</u>, and the bisector (<u>RT</u>) goes between the angle < TRS. With this being said, the lines <u>RT</u> is equal to the line <u>RS</u>, so since <u>RS</u> is 16 so is <u>RT</u><u>.</u> So the answer is <u>RT</u>= 16.
2. So for the second triangle it is asking for the line <u>AB</u>, and line <u>AB</u> is bisected by line <em>t</em><em> </em>the lines <u>AD</u> and <u>DB</u> are equal. So knowing this they both are 2.5, but the question isn't asking for part of the line, it is asking for the whole thing so you have to add 2.5 + 2.5. After you adding you get solution of 5 which makes <u>AB</u> = 5.
3. So for the third triangle its is asking for the line <u>HJ</u>, and the bisector (HL) goes between the angle < JHK. With this being said the lines <u>HJ</u> and <u>HK</u> are equal to one another. So you would write that as an equation which is 3x + 1 = 5x - 3. So for this part can vary, you can either move the x to the left or the right either way it gets you the answer, but I am going to explain how to move it to the left. First, you want to subtract 5x to 3x because when you move a variable to the other side of the equation (=) you have to do the opposite value so the number on the other side can cancel out. So on the right the 5x cancels out as it is subtracted by the 3x. Then, you do the same thing but with the 1. You will subtract 1 from -3 because you have to have something on both sides of the equation. After you did these two steps the equation is now -2x = -4. The main reason for doing this equation is to get the x alone so to do that you have to divide -4/-2. The reason why you don't change the sign is because like I said you are trying to cancel out the number you are moving so a negative divided by a negative equals a positive so you would just divide the -2. After this last step you get x = 2. But the problem is asking for the line not what x is. So you put your x into the equation since you have the number that is missing. So your new equation should look like 3 × 2 + 1. Then the answer you get from this should be 6, so which makes HJ = 6.
Answer:
54 programs
Step-by-step explanation:
As of today's date 12/25/2020, there are a total of 54 programs that have been accredited by the Commission on Sport Management Accreditation (COSMA). Each university program that has been accredited can be found on COSMA's official website along with the date in which each program was officially accredited and the basic information regarding the program and its university. More and more programs are being added as time goes by.
30%=30/100=3/10
3/10 of all=pennies=24
divide by 3
1/10 of all=8
times 10
10/10 of all=80
80 coins she has
Answer:
greater
Step-by-step explanation:
9514 1404 393
Answer:
Step-by-step explanation:
The interior angle of the m-gon is ...
m-interior = 180 -360/m
The exterior angle of the k-gon is ...
k-exterior = 360/k
The required relationships are ...
m = 3k
m-interior = 14/3(k-exterior)
Substituting for m, we can write the latter relation as ...
(180 -360/(3k)) = 14/3(360/k)
Multiplying by 3k/180, we have ...
3k -2 = 28
k = (28 +2)/3 = 10
The values of k and m are 10 and 30, respectively.
_____
<em>Check</em>
The interior angle of the m-gon is 180 -360/30 = 168 degrees.
The exterior angle of the k-gon is 360/10 = 36 degrees.
The angle ratio is 168/36 = 14/3 as required.
