31 because 1 gallon has 4 quarts and 4*8 is 32. So 32 -1 is 31
Answer:
AC = XY
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.
Two triangles are said to be congruent if all the three sides and three angles of one triangle is equal to the three sides and three angles of the other triangle.
In Δ ABC and ΔXYZ ,∠B=∠X=90. This means that triangle ABC and triangle XYZ are right angled triangle since one of their angles is 90 degrees.
The hypotenuse is the side opposite to right angle (90 degrees).
Therefore AC is the hypotenuse of triangle ABC and YZ is the hypotenuse of triangle XYZ.
If the hypotenuse and one leg of a right angled triangle is equal to the hypotenuse and leg of another right angled triangle, then the two triangles are congruent by RHS rule.
Since BC = XY, for Δ ABC congruent to ΔXYZ by R.H.S condition, the hypotenuse have to be equal, i.e. AC = XY
Answer:
Step-by-step explanation:
let the length of rectangle=l units
width=9
p=2(l+9)
area=9l
9l=2(l+9)
9l=2l+18
7l=18
l=18/7 units
Answer:
. The closest value from your given choices is C)r=0.69
Step-by-step explanation:
To solve this we are using the standard exponential growth equation:
where
is the final population after 
years
is the initial population
is the growth rate in decimal form
is the time in years
We know from our problem that the initial population is 5000, the final population is 10000, and the time is 10 years, so 
, 
, and 
.
Let's replace the values and solve for :
Divide both sides by 5000
Take root of 10 to both sides
![\sqrt[10]{2} =\sqrt[10]{(1+r)^{10}}](https://tex.z-dn.net/?f=%5Csqrt%5B10%5D%7B2%7D%20%3D%5Csqrt%5B10%5D%7B%281%2Br%29%5E%7B10%7D%7D)
![\sqrt[10]{2} =1+r](https://tex.z-dn.net/?f=%5Csqrt%5B10%5D%7B2%7D%20%3D1%2Br)
Subtract 1 from both sides
![\sqrt[10]{2}-1=r](https://tex.z-dn.net/?f=%5Csqrt%5B10%5D%7B2%7D-1%3Dr)
![r=\sqrt[10]{2}-1](https://tex.z-dn.net/?f=r%3D%5Csqrt%5B10%5D%7B2%7D-1)
We can conclude that the growth rate of our exponential equation is . The closest value from your given choices is C)r=0.69
