Z = 140
X = 40
Y = 40
Explanation:
Z and the angle given (140 degrees) are vertical angles, and are therefore congruent
We know that x and y are vertical angles, so they are also congruent to each other
You know that together, the angles have to add up to 360
140 + 140 + x + y = 360
Another way of putting it:
360-280 = 80
Now, we have to divide by two since we need to find x AND y
80/2 = 40
Therefore, your answers for x and y are 40
To double check, you can add up the angles and see if they equal 360
140 + 140 + 40 + 40
280 + 80 = 360
Answer:
is the last one
Step-by-step explanation:
the line is dotted and shaded above
Answer:
25 dogs and 55 cats
Step-by-step explanation:
5/11 ratio, first add those up which you get 16
Then divide the total amount of animals by the ratio-80
80/16 = 5
(5*5)/(11*5)
25 dogs and 55 cats
Answer:
The answer to your question is the letter B. x = 6
Step-by-step explanation:
Data
4x² - 48x = -144
Process
1.- Equal to zero
4x² - 48x + 144 = 0
2.- Multiply 4 by 144
4 x 144 = 576
3.- Find the prime factors of 576
576 2
288 2
144 2
72 2
36 2
18 2
9 3
3 3
1
4.- Find two numbers that added gives -48,
these numbers are -24 and -24
5.- Write the equation using these numbers
4x² -24x - 24x + 144 = 0
6.- Factor by grouping
4x(x - 6) - 24(x - 6)
7.- Factor by like terms
(x - 6)(4x - 24)
8.- Find the solutions
x - 6 = 0 4x - 24 = 0
x = 6 4x = 24
x = 24/4
x = 6
