Answer:
1.6% shrinkage
Step-by-step explanation:
907,340 - 875,435 = 31,905
31,905 / 1,988,345 = .0160 = 1.6%
Answer: Choice C) -11
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Explanation:
The first equation given is y = 3 - 1/2x
In other words, y is the same as 3 - 1/2x.
We can replace y in the second equation with 3 - 1/2x
This is known as substitution (think of a substitute teacher who is a temporary replacement for your teacher)
Doing this leads to...
3x+4y = 1
3x+4*y = 1
3x+4*( y ) = 1
3x+4*( 3 - 1/2x ) = 1 <<--- y has been replaced with 3-1/2x
3x+4*(3) +4*(-1/2x) = 1
3x+12-2x = 1
3x-2x+12 = 1
x+12 = 1
x+12-12 = 1-12 <<-- subtracting 12 from both sides
x = -11
Which is why the answer is choice C) -11
Times 9,125 by 6 and you should get 54,750 in total
Triangle ABD and CBD are congruent by the SAS postulate
Step-by-step explanation:
Step 1 :
Given ,
Segment AC is perpendicular to BD
Segment BD bisects segment AC
To prove the given two triangles are congruent
Step 2 :
Since AC is perpendicular to BD , We have ∠BDA and ∠BDC to be equal to 90 degrees
Also we have AD = DC , because BD bisects AC
BD is a side common to both the triangles and hence is the same
So we have two sides and angle between them (included angle) to be same for both the triangles.
Hence Triangle ABD and CBD are congruent.
The Converse Pythagorean Theorem is equally important as the Pythagorean theorem because they both involve in finding one of the missing sides. Whether is the legs or the hypotenuse, they both apply in right triangles and real life situations. Hope this helps :)
