Check out the attached image for the answers.
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Statement 2 is blank, but it has the reasoning "Corresponding angles postulate"
Because BD || AE, we know that the corresponding angles are congruent.
One pair of corresponding angles is angle 1 and angle 4. This is because they are on the same side of the transversal AC and they are both above their parallel line counter-part. Similarly, angle 2 and angle 3 are another corresponding pair.
So you'll have "angle1=angle4, angle3=angle2" in the first blank slot
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Reason 3 is blank. The statement is that triangle ACE is similar to triangle BCD. The reason why the are similar is the AA (angle angle) similarity postulate. This says that if you know two pairs of angles are congruent, then the triangles are similar. The two pairs of angles were mentioned back on the previous line (line 2)
So you'll put "Angle-Angle Similarity Postulate" in the second blank.
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Look at the line just above the last line. Here we have
1 + (BA/CB) = 1 + (DE/CD)
If we subtract 1 from both sides, we end up with,
BA/CB = DE/CD
which is what will go in the last blank space
Side Note: The last statement will always be what you want to prove. So you can just look at the very top of the problem where it says "Prove:" under the "Given" part. Then just copy/paste the statement you want to prove, which in this case is BA/CB = DE/CD
Answer: 15 gallons are needed
Step-by-step explanation: Simplify the ratio 5:2, which is 2.5:1. Multiply 6 on both sides to get 15:6. :)
Answer:
c = 4.79 feet
Step-by-step explanation:
Given question is incomplete without a picture; find the question with the attachment.
Two poles AD and DB of same length are leaning against each other.
Distance between the poles (AB) = 45 feet
m(∠ADB) = 180°- (60 + 50)°
= 70°
By sine rule,


= 36.68 ft
Similarly,
DB = 
= 41.47 ft
Now c = DB - AD
= 41.47 - 36.68
= 4.79 feet
Answer:
The number of bicycles is 19.
and the number of tricycles is 4.
Step-by-step explanation:
As we know that the number of seats in bicycles as well as in tricycles is 1.
The number of wheels in bicycles is 2
and the number of wheels in tricycles is 3.
Let the number of bicycles be x.
and the number of tricycles be y.
Thus using the given information we can make equation as,
x + y = 23
and, 2x + 3y = 50
Solving these two equations:
We get, x = 19 and y = 4
Thus the number of bicycles is 19.
and the number of tricycles is 4.
Positive because when I looked at the graph, the scattered plots are increasing up.