A surveyor drew triangles to determine the distance across a lake from point D to point E, as shown diagram below. If∠ABC≅∠ADE∠⁡A⁣B⁣C≅∠⁡A⁣D⁣E, which of the following best represents ¯¯¯¯¯¯DED⁣E¯, the distance across the lake? a.7 miles
b.18 miles
c.21 miles
d.24 miles

The system of equations graphed below has how many solutions?

Ineed big ! the cost of a school banquet is $25 plus $15 for each person attending. create a table, sketch the graph, and write an equation in slope-intercept and point-slope form that gives total cost as a function of the number of people attending. what is the cost for 77 people?

(10. in the figure, a aabc is drawn tocircumscribe a circle of radius 3 cm ,such thatthe segments bd and dc are respectively oflength 6 cm and 9 cm. find the length ofsides ab and ac.