Answer:
see below
Step-by-step explanation:
Angle ACE = DCE since they are vertical angles
Angle A = Angle E parallel lines cut by a transversal form congruent alternate interior angles
Angle B = Angle D parallel lines cut by a transversal form congruent alternate interior angles
When all three angles are equal, the triangles are similar.
We can use ratios to find DE
DE CE
------- = ----------
AB AC
DE 8
------- = ----------
12 10
Using cross products
10 DE = 8*12
10 DE = 96
Divide by 10
DE = 9.6
Answer:
Angle measurements of 35°, 35°, and 110°
Angle measurements of 40°, 60°, and 80°
Step-by-step explanation:
If you specify only the three angles, you can have an infinite number of similar triangles of different sizes.
A is wrong. There can be only one triangle in which all three side lengths are specified.
C is wrong. The angles do not add up to 180°.
Answer:
5.5 Hours
Step-by-step explanation:
Currently, the equation is 60=8.50h+13.25 and h stands for the hours that Sammie worked. So, you need to solve for h by first subtracting 13.25 (his tips) and getting the amount that he received for the hours that he worked.
You should now have 46.75=8.50h
Our final step, is to divide 46.75 by 8.50 to get h by itself and determine the total hours that Sammie worked.
In the end, you should come out with h=5.5, which means that Sammie worked 5.5 hours.
It is shown that he goes down in a slower time than he does going up.
Surface area of cylinder is given by area of circle + area of the rectangle that curved around the cylinder
Area of the base of the cylinder =

Area of the cylinder 'wall' = width × length =

×

=

×

=

Note that the wall of the cylinder is in the shape of a rectangle. The width of the rectangle is the height of the cylinder. The length of the rectangle is the circumference of the circle base.
Surface area of cone is given by

where

is the slanted height of the cone
SA of cone =

Hence total painted surface area is