Answer:
x=30
Step-by-step explanation:
5x+x=180<--------because lines are supplementary
6x=180
6x/6=180/6
x=30
Check your work:
5(30)=30=180
150+30=180<---------YES!!!
Answer:
5
Step-by-step explanation:
3 to the power of 0 is 1
Why? n to the power of 0 is 1 independent of n
2 to the power of 2 is 4
Why? 2 × 2 = 4
So it's 1 + 4 = 5
I hope this helps you :)
Answer:
x = -1
y = 0
Step-by-step explanation:
to solve the equation by substitution in order to evaluate for x and y
let
6x-2y=-6 ................................................ equation 1
-2x-3y=2 .................................................. equation2
from equation 2
-2x-3y=2 .................................................. equation2
-2x -2 = 3y
divide both sides by 3
(-2x -2)/3 = y
y = (-2x -2)/3 ................................... equation3
substitute y = (-2x -2)/3 into equation 1
6x-2y=-6 ................................................ equation 1
6x - 2[ (-2x -2)/3] = -6
6x + (4x + 4)/ 3 = -6
multiply through by 3
18x + 4x + 4 = -18
22x = -18-4
22x = -22
divide both sides by the coefficient of x which is 22
22x/22 = -22/22
x = -1
substitute for x in equation 3
y = (-2x -2)/3 ................................... equation3
y = -2(-1) - 2/3
y = 2 -2/3
y = 0/3
y = 0
therefore the value of x and y is -1 and 0 respectively
Answer:
50 ft³
Step-by-step explanation:
As your question is incomplete
Assuming diagram in the attachment shows a triangular prism:
(a) Calculate the volume of the prism if l = 5 ft.
A triangular prism has the same triangular cross-section throughout its length.
Volume = area of cross-section × length
= 10 ft² × 5 ft
= 50 ft³
Answer:
the middle one is correct
Step-by-step explanation:
the first one is incorrect because the way negative numbers are ordered is incorrect it should be "-3, -2, -1"
the middle one is correct because the pattern is consistent and the order of the numbers are correct
the third one is incorrect because the pattern doesn't match "-15" isn't counting by twos 15 isn't an even number
hope I helped ❤