Answer:
Option B. The slope of VT is equal to the slope of ZX
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
step 1
Find the slope VT
we have
V(-7,-3),T(-4,0)
substitute in the formula
step 2
Find the slope ZX
we have
Z(0,4),X(6,10)
substitute in the formula
therefore
The slope of VT is equal to the slope of ZX
Answer:
The slope of VT is equal to the slope of ZX.
Step-by-step explanation:
Two triangles are similar if the slopes of corresponding sides are equal.
In triangle TUV, TU is vertical, so the slope is undefined. The side UV is horizontal, so the slope is zero.
Determine the slope of the VT using the slope formula. Point V is at (-7, -3), and point T is at (-4, 0).
slope=y^2-y1/x^2-x1
=0-(-3)/-4-(-7)
=3/3
=1
In triangle XYZ, XY is vertical, so the slope is undefined. The side YZ is horizontal, so the slope is zero.
Determine the slope of the ZX using the slope formula. Point Z is at (0, 4), and point X is at (6, 10).
slope=y^2-y1/x^2-x1
=10-4/6-0
=6/6
=1
Compare the slopes of corresponding sides of the two triangles.
Sides TU and XY have undefined slopes.
Sides UV and YZ have zero slopes.
Sides VT and ZX have slopes of 1.
Therefore, the following statement is true.
The slope of VT is equal to the slope of ZX.
i inserted a screen shot
15,612 gallons
B.
17,110 gallons
C.
16,222 gallons
D.
15,112 gallons
Answer:
There are 15,112 gallons of water will remaining in the pool ⇒ answer D
Step-by-step explanation:
* Lets explain how to solve the problem
- The rate is the ratio between two related quantities in different units
- The pool is leaking slowly at rate 9 gallons per second that means the
quantity of the water in the pool decreased 9 gallons each day
- The find the remaining gallons in the pool after 111 days, find the
amount of water has leaked from the pool in these days
∵ The rate of leaking is 9 gallons per day
∵ Mike does not replace the water that has leaked from the pool
- The amount of water leaked in some days = the rate of leaking
× the number of days
∵ The number of days is 111 days
∵ The amount of water lacked = 9 × 111 = 999 gallons
∵ The amount of water remaining in the pool after some days =
the total amount in the pool - the amount of leaked in that days
∵ The pool holds 16,111 gallons of water
∴ The amount of water remaining = 16111 - 999 = 15112 gallons
* There are 15,112 gallons of water will remaining in the pool