Let us prove that angle 1 is complementary to angle 3 step by step.
1. We have been given that angle 1 is complementary to angle 2.
2. Since we know that complementary angles add up to 90 degrees, therefore, by the definition of complementary 
.
3. We have been also given that line segment BD bisects 
.
4. By the definition of bisect 
.
5. Angles are congruent if their measures, in degrees, are equal, therefore, by angle congruence postulate 
.
6.
Upon substituting in above equation we will get,
Therefore, by substitution property of equality .
Hence, proven that angle 1 is complementary to angle 3.
Answer:
17
Step-by-step explanation:
Look at any 2 adjacent numbers and find the difference between them.
Starting with numbers 1 and 2, subtract the first from the second:
That's a difference of 8, meaning the second number increased by 8.
Check the next numbers, 2 and 3:
It increased by 8 again. Now that we know for sure that each term in the sequence increases by 8 over the previous one, we can find the number in the green box. Just add 8 to the number before it:
Answer:
ASA
Step-by-step explanation:
If 2 angles and the included side of one triangle are congruent to 2 angles and the included side of the other triangle, then the triangles are congruent.
The included side is the side between the vertices of the 2 triangles.
Here
∠ S = ∠ W ( 1 angle )
∠ R = ∠ X ( 2 angles )
RS = XW ( side between the 2 angles )
Thus the 2 triangles are congruent by the ASA postulate
Answer:
2000
Step-by-step explanation:
A(m) = 100 + 0.20m
B(m) = 80 + 0.3m
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For company A to have a better deal, the truck must be driven more than __ miles per day.
Solve::
100 + 0.2m < 80 + 0.3m
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20 < 0.1m
m > 2000/1 = 2000 miles
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2500 mi
10*3=30
30*3=90
90*3=270
270*3=810
or
10*3^1=30
10*3^2=90
10*3^3=270
10*3^4=810
the next two terms of this sequence are 270 and 810.
