Answer:
60 yd
Step-by-step explanation:
Volume is length x width x height. Therefore in this case, we do 4x3x5 which turns out to be 60. Also don't forget to add yd after your answer because this is measured in yards.
Let the four consecutive numbers be x, x+1, x+2, and x+3.
The sum of the four numbers is 54, therefore
x + (x+1) + (x+2) + (x+3) = 54
4x + 6 = 54
4x = 54 - 6 = 48
x = 12
Answer:
The four numbers are 12, 13, 14, and 15
Answer: x = -0.2651 and y = -0.9759
Step-by-step explanation:
Solution by substitution method
8x+5y= -7
-7x+6y= -4 = 7x-6y=4
Suppose,
8x+5y=-7→(1)
7x-6y=4→(2)
Taking equation (1), we have
8x+5y= -7
⇒8x= -5y -7
⇒x= -5y-7 / 8 →(3)
Putting x= -5y-7 / 8
in equation (2), we get 7x-6y=4
7(-5y-7/8)-6y=4
⇒-35y-49-48y=32
⇒-83y-49=32
⇒-83y=32+49
⇒-83y=81
⇒y= 81 / -83
⇒y= -0.9759→(4)
Now, Putting y= -0.9759 in equation (3), we get
x= -5y-7
x= -5(-0.9759)-7/8
⇒x= 4.8795-7/8
⇒x= -2.1205/8
⇒x= -0.2651
∴x= -0.2651 and y = -0.9759
Answer:
80°
Step-by-step explanation:
The sum of the two angles (red and blue) is 145°, so you have ...
(4x +5)° +(6x -10)° = 145°
10x = 150 . . . . . . . . divide by °, add 5, simplify
x = 15 . . . . . . . . . . . divide by 10
Then the measure of the angle of interest is ...
m∠XMN = (6x -10)° = (6·15 -10)° = 80°
