Answer:
5/12
Step-by-step explanation:
First you add 1/4+2/3.
You need to change the denominator so that they are equal to each other
If you multiply the 1/4 by 3/3 you will get 3/12 which is equal to 1/4
Then you need to do the same to 2/3. This time you need to multiply it by 4/4 to get the same denominator which will be 2/3*4/4=8/12
Then you add 3/12+8/12=11/12. You don't need to add the denominator.
After this you will need to subtract 11/12 and 1/2. This time you need to only change the denominator for 1/2.
You multiply the denominator and numerator by 6/6 to 1/2 and you will get 6/12 then you are going to subtract 11/12-6/12 and you will get 5/12
Both of these problems will be solved in a similar way, but with different numbers. First, we set up an equation with the values given. Then, we solve. Lastly, we plug into the original expressions to solve for the angles.
[23] ABD = 42°, DBC = 35°
(4x - 2) + (3x + 2) = 77°
4x+ 3x + 2 - 2 = 77°
4x+ 3x= 77°
7x= 77°
x= 11°
-
ABD = (4x - 2) = (4(11°) - 2) = 44° - 2 = 42°
DBC = (3x + 2) = (3(11°) + 2) = 33° + 2 = 35°
[24] ABD = 62°, DBC = 78°
(4x - 8) + (4x + 8) = 140°
4x + 4x + 8 - 8 = 140°
4x + 4x = 140°
8x = 140°
8x = 140°
x = 17.5°
-
ABD = (4x - 8) = (4(17.5°) - 8) = 70° - 8° = 62°
DBC =(4x + 8) = (4(17.5°) + 8) = 70° + 8° = 78°
Answer:
Substitute the slope and the coordinates of point P in the equation of the line y=mx+b and then solve for b in each equation
Step-by-step explanation:
we know that
The first step is calculate the slopes of these two lines. Remember that if two lines are parallel then the slopes are the same (m1=m2) and if two lines are perpendicular then the slopes is equal to m1*m2=-1
The second step is substitute the slope m2 and the coordinates of point P in the equation of the line in slope-intercept form y=mx+b and then solve for b in each equation
Answer: 276
Step-by-step explanation:
multiply 1/3 by 4/4 to make it similar to 5/12 that way you can add them. because the denominator is different from each other you can’t add them. once you do that you get 4/12, you then add 5/12 and that equals 9/12. in order to get to 12/12 you need 3/12 more. this 3/12 represents the 69 guest that chose vegetarian. the 5/12 represents the the guest who chose chicken and the 4/12 represents the ones who chose beef. now that you know 69 people is the same as 3/12 of all the guest. you then realize that 9 is divisible by 3. so you multiply 69 by 3 because 3 goes into 9 3 times. which gives you 207. 207 represents 9/12. and we already know 69 represents 3/12. so you add them together and get 276. sorry if that was confusing but that’s the best way i can explain it.
Answer:
16
Step-by-step explanation:
just use a mean absolute deviation calculator next time