Answer:
Step-by-step explanation:
Complete the square
+ 2x - 13 = 0
+ 2x = 13
+ 2x +
= 13 +1 (take 1/2 of the b term , the 2 )
+ 2x + 1 = 14
(x +1)^2 = 14
The answer to that operation is 13
Answer:
∠x = 78
Step-by-step explanation:
∠y + ∠1 = 180
=> 125 + ∠1 = 180
=> ∠1 = 180 - 125
=> ∠1 = 55
∠z + ∠2 = 360
=> 313 + ∠2 = 360
=> ∠2 = 360-313
=> ∠2 = 47
∠1 + ∠2 + ∠x = 180
=> 55 + 47 + ∠x = 180
=> ∠x = 180 - 55 - 47
=> ∠x = 78
I would multiply to get rid of the decimals and work with whole numbers.
Since we have numbers that are "hundredths", we would need to multiply every number by 100.
60d + 5e = -450
-12d + 30e = 276 Now that the decimals are gone, if we multiply the second equation by 5 the "d's" will cancel.
60d + 5e = -450
-60d + 150e = 1380
155e = 930
e = 6
Now plug 6 back in for e and solve for d.
60d + 5(6) = -450
60d + 30 = -450
60d = -480
d = -8
(-8, 6)
If you'd rather work it with decimals just let me know.
<h2>Answer:</h2>
This is a theorem called Converse of Alternate Exterior Angles that states that <em>if two lines are cut by a transversal and the alternate exterior angles are congruent, then the lines are parallel</em>. Moreover, this theorem is based upon the corresponding Angles Converse Postulate that states that<em> if two lines are cut by a transversal and corresponding angles are congruent, then the lines are parallel. </em>We don't need to prove this postulate, it's assume to be true. So our goal is to get corresponding angles congruent in order to use the corresponding Angles Converse Postulate,
1.
Reason: Given
Statement: 
2.
Reason: Def of vertical 
Statement: 
3.
Reason: Def of vertical 
Statement:
4.
Reason: Transitive Property
Statement: 
5.
Reason: corresponding Angles Converse Postulate
Statement: 