Answer:
B. Yes, by the AA Similarity Postulate
Step-by-step explanation:
This triangles are both similar based on the AA Similarity Postulate. We know that all angles are equal because...
m∠ABE = m∠CBD = 42° (because they are veridical/opposite angels)
m∠AEB = 180° - m∠ABE - m∠EAB = 180° - 42° - 53° = 85°
Then from here we know that
m∠BDC = 180° - 85° - m∠CBD
m∠BDC = 95° - 42°
m∠BDC = 53°
From here we see that they are similar because of the AA Similarity Postulate, since
m∠ABE = m∠CBD = 42°
m∠BDC = m∠EAB = 53°
m∠AEB = m∠BCD = 85°
13 3/4 = ((13x4)+3)/4 = 55/4
1 2/3 = ((1x3)+2)/3 = 5/3
55/4 / 5/3
(55x3)/(5x4)
165/20
33/4
8 1/4
Answer:
a. 
b. 
Step-by-step explanation:
Given
A(-8,7) and B(6,-9).
Solving (a):
Determine the Midpoint M;
This is calculated as follows;

Where


Substitute these values in the formula



<em>Hence; the midpoint is (-1,-1)</em>
Solving (a):
Here, we have
C = (2,7)
M; Midpoint = (-1,-1)
Required: Determine D
This is calculated as follows;

Where


Substitute these values in the formula

Solving for x2

Multiply both sides by 2

Subtract 2 from both sides


Solving for y2

Multiply both sides by 2

Subtract 7 from both sides


Hence, the coordinates of D is

Answer:
y=-2x+3
Step-by-step explanation:
equation for slope is y=mx+b
the slope is -2 so that equals m
(0,3) is the y-intercept
y=b
3 is the y value making it substitute b making the equation y=-2x+3
the answer is the second graph (b) ^^