Answer:
Angle CED must also measure 60°.
Because angle m is shown to be congruent to angles ABC and CDE, this means that angle m has a measure of 60 degrees.
There can only be 180 degrees in a triangle, so the measure of angle ACB must be 180-60-60, which equals 60 degrees.
Using the Vertical Angles Theorem, the measure of angle ACB is the same as the measure of angle CED.
Therefore, angle CED measures 60°.
Step-by-step explanation:
m, because Triangle ABC is similar to triangle EDC
m over 2, because Triangle ABC is congruent to triangle DCE
m + 60 degrees, because Triangle ABC is similar to triangle DCE
120 degrees − m, because Triangle ABC is congruent to triangle DCE
Answer:
5 4/9 - 2 5/9= 26/9 or 2 8/9
Step-by-step explanation:
Answer:
perimeter = 40
area = 46(unit)^2
Step-by-step explanation:
Perimeter - all sides added together
- Find unknown sides (8-3 = 5, 12-2 = 10)
- Add all sides together (8+2+5+10+3+12 = 40)
Area - Length multiplied by width
- Divide shape into two rectangles (#1 is 2x5 and #2 is 3x12)
- Find individual area (rectangle #1: 2*5 = 10 / rectangle #2: 3*12 = 36)
- Add areas together (10+36 = 46)
- Finish with unit squared (46___^2)
Answer:Graph for 5*x^2-2*x+10*x^2-3*x-1