The <em><u>correct answer</u></em> is:
AAS
Explanation:
AAS stands for "angle-angle-side." This states that if two angles and a non-included side of one triangle are congruent to the corresponding two angles and non-included side of another triangle, then the triangles are congruent.
In these triangles, we have ∠CAB ≅ ∠CDB given to us to begin with. Throughout the proof, we find that ∠ABC ≅ ∠DCB. We also have that CB is congruent to itself. This is two angles and a side not included, so this is AAS.
Answer:
$74.41
Step-by-step explanation:
x = Amount of money Sylvia had in her account
Amount of money spent at the Grocery Store= $25.89
Remaining Amount of money after Grocery = $48.52
Hence, By adding the two amount above we get the amount Sylvia had in her account before grocery;
x = $25.89 + $48.52
x = $74.41
Step-by-step explanation:
3/4
insert 1st point into y=mx+b
3=m(6)+b
insert 2nd point into y=mx+b
6=m(10)+b
-----------------------------------
use system of equations to solve for m and b
b=3-6m
b=6-10m
3-6m=6-10m
4m=3
m=3/4
insert back into the equation
3=(3/4)6+b
3=9/2+b
3-9/2=b
-3/2=b
insert back into y=mx+b
m=slope
b=y-intercept
y=(3/4)x-3/2
slope=3/4
Hope that helps :)
Answer:
42 yd²
Step-by-step explanation:
Area of a rectangle = width x length
lateral surface area is the area of the sides only
So the difference between the total surface area and the lateral surface area would be the surface area of the ceiling and floor (top and bottom).
area of floor and ceiling = 2(3.5 x 6) = 42 yd²
Or, we can calculate the total surface area and lateral surface area, then find the difference:
total surface area = 2(3.5 x 4.2) + 2(4.2 x 6) + 2(3.5 x 6) = 121.8 yd²
lateral surface area = 2(3.5 x 4.2) + 2(4.2 x 6) = 79.8 yd²
difference = 121.8 - 79.8 = 42 yd²
