Answer:
57°
Step-by-step explanation:
Angles EGB and EHD are corresponding angles of two parallel lines cut by a transversal; therefore, they are congruent.
m<EGB = m<EHD = 57°
The general equation of a line is:
When m is the gradient and x1 and y1 are the coordinates of the points on the line
Therefore:
Answer:
See below.
Step-by-step explanation:
This is how you prove it.
<B and <F are given as congruent.
This is 1 pair of congruent angles for triangles ABC and GFE.
<DEC and <DCE are given as congruent.
Using vertical angles and substitution of transitivity of congruence of angles, show that angles ACB and GEF are congruent.
This is 1 pair of congruent angles for triangles ABC and GFE.
Now you need another side to do either AAS or ASA.
Look at triangle DCE. Using the fact that angles DEC and DCE are congruent, opposite sides are congruent, so segments DC and DE are congruent. You are told segments DF and BD are congruent. Using segment addition postulate and substitution, show that segments CB and EF are congruent.
Now you have 1 pair of included sides congruent ABC and GFE.
Now using ASA, you prove triangles ABC and GFE congruent.
Set up a system of equations.
l=4w
2l+2w=110
Substitute l in to the second equation.
2(4w)+2w=110
8w+2w=110
10w=110
w=11
Substitute w back into the first equation.
l=4(11)=44
So, the length is 44 feet and the width is 11 feet.
Hope this helped!
