2x(3x -5) -3(x -3) for x = 2 SIMPLIFY THE FOLLOWING
2 answers:
Answer: 7
Step-by-step explanation:
- 2x(3x-5) -3(x-3)
- 2(2)(3(2)-5) -3(2-3) First you substitute 2 for all the x's. The twos in . parentheses represent multiplication.
- 4(6-5) -3(2-3) Second, you multiply 2 by 2, which equals 4, . and multiply 3 by 2, which equals 6.
- 4(1) -3(-1) Next, you solve the problems in the . parentheses, which is 6 minus 5 is 1, and 2 . minus 3 is -1
- 4-(-3) Next, you multiply 4 by 1, which is 4, and . multiply 3 by -1.
- 4+3 Since two negatives make a positive, the . equation changes to 4 plus 3.
- 7 Finally, you add 4 plus 3 and get 7.
P.S: Sorry about the random periods. I had to put them in to format it like that.
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Answer:
Therefore.
angle 1 is congruent to angle 3 ...Proved
The proof with steps are below with Fill in the blanks
Step-by-step explanation:
Complementary Angles:
Two angles are Complementary when they add up to 90 degrees.
Example 40° and 50° are Complementary Angles.
If 'x' and 'y' are Complementary Angles the we have
Here,
Given:
angle 1 and angle 2 are complementary
angle 3 and angle 2 are complementary
To Prove:
angle 1 is congruent to angle 3
Proof:
Step 1:
angle 1 and angle 2 are complementary and angle 3 and angle 2 are complementary because it is Given.
Step 2:
By the definition of complementary angles,
m of angle 1 + m of angle 2 = _90°__ and m of angle 3 + m of angle 2 = _90°_.
Step 3:
Transitive Property of Equality.
Then m of angle 1 + m of angle 2 = m of angle 3 + m of angle 2 by the Transitive Property of Equality.
Step 4:
Subtract m of angle 2 from each side. By the Subtraction Property of Equality, you get
m of angle 1 = _measure of angle_3_.
Step 5:
Angles with the same measure are _Congruent__,
Step 6:
so angle 1 is congruent to angle 3.
Therefore.
angle 1 is congruent to angle 3 ...Proved