Answer:
Just multiply 904.32 * 4
Step-by-step explanation:
3617.28
Answer:
m < 5=27°
Step-by-step explanation:
we know that
When a transversal passes through two lines, the angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles.
In this problem
The transversal is the diagonal BD
The two lines are AB and CD
m < 5 and m < 2 are alternate interior angles
we have that
The two lines are parallel
AB || CD
therefore
m < 5= m < 2
we have that
m < 2=27°
so
m < 5=27°
30m x 7e = 210m
Just multiply the number of minutes by days of a week, so it'd be 30 x 7 to get 210 minutes.
Answer:
![a = 32, \ b = 20](https://tex.z-dn.net/?f=a%20%3D%2032%2C%20%5C%20b%20%3D%2020)
Step-by-step explanation:
124 degree angle and "3a - 2b" angle are supplementary (in a straight line -- add upto 180 degrees). So we can say and write:
124 + "3a - 2b" = 180
3a - 2b = 180 - 124
<u>3a - 2b = 56</u>
<u></u>
Now,
"2a + 3b" and "3a - 2b" are also supplementary. So we can write:
2a + 3b + 3a - 2b = 180
<u>5a + b = 180</u>
<u></u>
Lets solve this 2nd equation for b:
5a + b = 180
b = 180 - 5a
We put this into 1st equation and solve for a:
3a - 2b = 56
3a - 2(180 - 5a) = 56
3a - 360 +10a = 56
13a = 56 + 360
13a = 416
a = 416/13
a = 32
Now, finding b:
b = 180 - 5a
b = 180 - 5(32)
b = 20
So,
a = 32, b = 20
As long as you're asking for help, you may as well ask a graphing calculator that can actually tell you the answer.
Solutions are (x, y) = (-6, 312) and (6, 312).
_____
Divide the second equation by 2, then substitute the expression for y into the first equation. Solve the quadratic for x.
.. 10x^2 -(8x^2 +24) = 48
.. 2x^2 -72 = 0
.. 2(x -6)(x +6) = 0
.. x = -6 or 6
.. y = 8x^2 +24 = 8*36 +24 = 312 . . . for either value of x