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:
inverse variation. if value of x increase, y value decrease.
For example,
If x=10; y =1/10 = 0.1
If x =100 ; y = 1/100 = 0.01
Answer:
it may can be 0.16 ft
Step-by-step explanation:
0.5 x 0.4 = 0.2
0.8 x 0.2 = 0.16
To get the answer you have to divide the sale price $172.80 by 73%.
So first you turn 73% into a decimal by moving the decimal two places to the left turning it into .73
$172.80 divided by .73 = $236.71
You can check by then multiplying $236.71 with .73
Answer:
3 x^3 y^4 sqrt(5x)
Step-by-step explanation:
sqrt(45x^7y^8)
We know that sqrt(ab) = sqrt(a)sqrt(b)
sqrt(45)sqrt(x^7) sqrt(y^8)
sqrt(9*5) sqrt(x^2 *x^2 * x^2* x) sqrt(y^2 *y^2 *y^2 *y^2)
We know that sqrt(ab) = sqrt(a)sqrt(b)
sqrt(9)sqrt(5) sqrt(x^2)sqrt(x^2) sqrt(x^2) sqrt(x) sqrt(y^2)sqrt(y^2)sqrt(y^2)sqrt(y^2)
3 sqrt(5) x*x*x sqrt(x) y*y*y*y
3 x^3 y^4 sqrt(5)sqrt(x)
3 x^3 y^4 sqrt(5x)