Given:
∠PRS and ∠VUW are supplementary.
To prove:
Line TV || Line QS
Solution:
Step 1: Given
∠PRS and ∠VUW are supplementary.
Step 2: By the definition of supplementary angles
Step 3: Angles forming a linear pair sum to 180°
Step 4: By transitive property of equality
step 2 = step 3
Step 5: By algebra cancel the common terms in both side.
Step 6: By converse of corresponding angles postulate
Line TV || Line QS
Hence proved.
Answer:
Step-by-step explanation:
interchange x and y
y= 1/(x - 2)
x = 1 / (y - 2) Multiply both sides by y - 2
x(y - 2) = 1 Remove the brackets
xy - 2x = 1 Add x to both sides
xy = 1 + 2x Divide by x
y = (1 + 2x)/x
The brackets have been destroyed. The answer is as I've given it.
y = (1/x) + 2
Answer:
0.078125.
Step-by-step explanation:
This is a geometric sequence with first term a1 = 20 and common ratio r = 10/20 = 5/10 = 0.5.
nth term = a1 r^(n -1) so here:
9th term = 20(0.5)^(9-1)
= 20(0.5)^8
= 0.078125.
The x and y axis so that’s why it’s true
Answer:
x=16/3
Step-by-step explanation:
5x−2(x+1)=14
Distribute
5x -2x -2 =14
Combine like terms
3x -2 =14
Add 2 to each side
3x-2+2 =14+2
3x=16
Divide each side by 3
3x/3 = 16/3
x=16/3
