Answer:
ASA
Step-by-step explanation:
Given:
Two triangles ABC and EDC such that:
AB ⊥ BD and BD ⊥ DE
C is the midpoint of BD.
The two triangles are drawn below.
Since, AB ⊥ BD and BD ⊥ DE
Therefore, the two triangles are right angled triangle. The triangle ABC is right angled at vertex B. The triangle EDC is right angled at vertex D.
Since, point C is the midpoint of the line segment BD.
Therefore, C divides the line segment BD into two equal parts.
So, segment BC ≅ segment CD (Midpoint theorem)
Now, consider the triangles ABC and EDC.
Statements Reason
1. ∠ABC ≅ ∠CDE Right angles are congruent to each other
2. BC ≅ CD Midpoint theorem. C is midpoint of BD
3. ∠ACB ≅ ∠ECD Vertically opposite angles are congruent
Therefore, the two triangles are congruent by ASA postulate.
So, the second option is correct.
Parallelogram so
CD = AB
18x - 5 = 15x + 4
3x = 9
x = 3
answer
x = 3
The 2 horsepower is equal to 1492 watts.
Given that horsepower and watts are units of measure of power and they are directly proportional such that 5 horsepower is equal to 3730 watts.
Horsepower is a unit of measurement of power, or speed at which work is done, usually related to the power of an engine or motor. power is calculated by multiplying force (in pounds) by speed (in feet per second).
Let H= horsepower, W=watt
As we are given horsepower is directly proportional.
So, the relation is W=kH where k is constant.
Here, H=5 and W=3730.
By substituting the value of W and H we will find the value of k, we get
3730=k×5
3730/5=k
746=k
Now, substituting the value of k in relation and we get
W=746H
We have to find the power of 2 horsepower.
So, we will substitute H=2 in above relation, we get
W=746×2
W=1492 watts.
Hence, the 2 horsepower is equal to 1492 watts when 5 horsepower is equal to 3730 watts.
Learn more about horsepower from here brainly.com/question/1335872
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Answer:
2|10
5|5
1
Prime factors of 10 are 2*5
Start the number line from 0 and put divisions at 1/12. Then mark at 4/12 for plant A and indicate this was its growth in the first week. Then, make another mark up to 6/12 and indicate this was the plant's growth in the second week.
For plant B, make one mark at 7/12 and indicate that this is plant B's growth in the first week.
After two weeks, plant A has a height of 6/12 inches and plant B has a height of 7/12 inches, so B is taller.
