Answer/Step-by-step explanation:
Statement 1:
Reason 1: Given
Statement 2: <A ≅ <R
Reason 2: Given
Statement 3: <AMD ≅ <RMC
Reason 3: vertical angles
Both angels are vertical angles. Vertical angles are congruent to each other. Therefore, <AMD ≅ <RMC.
Statement 4: ∆MAD ≅ ∆MRC
Reason 4: AAS Congruence Theorem
Two angles and a non-included side in ∆MAD are congruent to corresponding two angles and a non-included side in ∆MRC. Based on the AAS Congruence Theorem, both triangles are congruent.
Step-by-step explanation:
<h3>İf it is Z=(x+y)/5</h3><h3> 5Z=x+y</h3><h3> y=5Z-x </h3>
<h3>İf it is Z=x+y/5</h3><h3>then Z=(5x+y)/5</h3><h3> 5Z=5x+y</h3><h3> y=5Z-5x or 5(Z-x)</h3>
Answer:
18
Step-by-step explanation:
4(3)=12
12+6=18
First, find the eq'n of the line connecting (7,8) and (9,0). The slope of this line is m = rise / run = (0-8) / (9-7), or m = -8/2, or m = -4. Thus, the equation of this line is y-0 = -4(x-9), or y = -4x + 36.
We must now solve simultaneously the system y = -4x + 36, y = 2x - 10. Let's equate these to one another: -4x + 36 = 2x - 10. Thus, 46=6x, or 3x=23, or
x = 23/3. Subbing this value for x into y = 2x - 10 results in y = 2(23/3) - 30/3, or
y = 16/3. Thus, the solution is (23/3, 16/3). a=23/3 and b=16/3.
We are to compute a+b. This is a+b = 23/3 + 16/3, or 39/3, or 13 (answer).