Answer:
G. ABD = 74
H. DBC = 206
I. XYW = 33.75
J. WYZ = 46.25
Step-by-step explanation:
For G and H: You have a straight line (ABC) with another line coming off of it, creating two angles (ABD and DBC). A straight line has an angle of 180 degrees. This means that the two angles from the straight line when combined will give you 180 degrees. Solve for x.
ABD + DBC = ABC
(1/2x + 20) + (2x - 10) = 180
1/2x + 20 + 2x - 10 = 180
5/2x + 10 = 180
5/2x = 170
x = 108
Now that you have x, you can solve for each angle.
ABD = 1/2x + 20
ABD = 1/2(108) + 20
ABD = 54 + 20
ABD = 74
DBC = 2x - 10
DBC = 2(108) - 10
DBC = 216 - 10
DBC = 206
For I and J: For these problems, you use the same concept as before. You have a right angle (XYZ) that has within it two other angles (XYW and WYZ). A right angle has 90 degrees. Combine the two unknown angles and set it equal to the right angle. Solve for x.
XYW + WYZ = XYZ
(1 1/4x - 10) + (3/4x + 20) = 90
1 1/4x - 10 + 3/4x + 20 = 90
2x + 20 = 90
2x = 70
x = 35
Plug x into the angle values and solve.
XYW = 1 1/4x - 10
XYW = 1 1/4(35) - 10
XYW = 43.75 - 10
XYW = 33.75
WYZ = 3/4x + 20
WYZ = 3/4(35) + 20
WYZ = 26.25 + 20
WYZ = 46.25
To complete the table we must carefully observe the keypad, we will notice that each number is equivalent to 3 letters of the alphabet except the numbers 7 and 9 which have 4 letters each.
<h3>How does the keypad work?</h3>
Previously, cell phone keypad had a different layout than today. The numbers were related to the letters of the alphabet and the number key was pressed according to the letters that were related.
For example, if you wanted to type the letter B, you would have to press the number 2 key twice.
The relationship of numbers and letters was distributed as follows:
- It had no letters.
- A, B and C.
- D, E and F.
- G, H and I.
- J, K and L.
- M, N and O.
- P, Q, R and S.
- T, U and V.
- W, X, Y, and Z.
According to the above, the table would be completed as follows.
Note: This question is incomplete because there is some missing information. Here is the missing information:
1. Complete this table to show the relation from letter to number.
Learn more about keypad in: brainly.com/question/1156254
Answer:
1. -6
Step-by-step explanation:
f(x)=x²-9
g(x)= x-3
1. (f+g)(2) =
(2²-9)+(2-3) = (4-9)+(2-3) = (-5)+(-1)= -6
Answer: Marci: 60 minutes
Bobby: 30 minutes
Max: 90 minutes
Step-by-step explanation:
50% of 60 is 30.
100% of 60 is 60, plus 50% is 60+30, which gets you 90.
Answer:
you would need to see which one adds up or just an answer out in the wen then see what you get from there if not go find another way
Step-by-step explanation:
