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Nady [450]
3 years ago
7

Please answer sincerely thank you

Mathematics
1 answer:
siniylev [52]3 years ago
8 0

To prove two triangles are similar, we only need two pairs of congruent angles.

The first pair of congruent angles could be the two right angles AED and GFC as shown by the square markers.

As for the other pair of congruent angles, we could pick on angle DAE and angle FGC, which are corresponding angles. The corresponding angles are congruent because of the vertical parallel line segments BA and FG

Once you have two pairs of congruent angles, you have effectively wrapped up the similarity proof. The specific theorem you use is the AA (angle angle) similarity theorem.

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bulgar [2K]
The answer is 42 degrees
7 0
3 years ago
Read 2 more answers
Try to fill in the missing numbers
GrogVix [38]

9514 1404 393

Answer:

  [[274][895][136]]

Step-by-step explanation:

Starting with the middle row, we need a product of two single-digit numbers that is between 53-1 = 52 and 53-9 = 44. Possible products are 5×9=45 and 6×8=48. This means the number in the middle position in the left column must be 8 or 5.

The middle number in the left column cannot be 5, because we must be able to get -5 by subtracting that number from a sum that is at least 3 = 1+2. So, the middle number in the left column is 8, the other two numbers in that column are 1 and 2, and the other two numbers in the middle row are 5 and 9.

There is no product of single-digit numbers that is 30-1 = 29, so the upper left number must be 2, and the bottom left number must be 1. The other two numbers on the top row must be 4 and 7, so that row's equation is 2+4×7=30.

The only remaining digits are 3 and 6. In order to have -3 on the bottom row, the equation there must be 1×3-6 = -3. Then the middle digit must be divisible by 3, so must be 9.

Our solution is ...

row 1: 2 + 7 × 4 = 30

row 2: 8 + 9 × 5 = 53

row 3: 1 × 3 - 6 = -3

And that makes the column equations be ...

col 1: 2 - 8 + 1 = -5

col 2: 7 + 9 / 3 = 10

col 3: 4 × 5 - 6 = 14

6 0
3 years ago
Write the equation of a line that is perpendicular to y=-2/7x + 9 and that passes through the point (-4,6) [FP]​
siniylev [52]

Answer:

$y=(7/2)x+20$

Step-by-step explanation:

SInce the gradient of the first line is $-2/7$ then the gradien of the perpendicular line is $7/2$.

Therefore by the point slope formula the line that we are looking for is

$y-6=(7/2)(x+4)$

$y=(7/2)x + 20$

7 0
3 years ago
What is the maximum amount of baggage that may be loaded aboard the airplane for the cg to remain within the moment envelope? we
Korvikt [17]
<span>You are to find the maximum amount of baggage that may be loaded aboard the airplane for the cg (center of gravity) to remain within the moment envelope.

In order to solve this, there is a graph that shows the load weight and the load moment of pilot and front passenger, fuel, rear passenger and passenger including the baggage. Using the given data such as pilot and front passenger 250, the load moment is 9 lbs/in, for the rear passenger at 400lbs, the load moment is 28.5 lbs/in, the fuel at 30 gal has a load moment of 2 lbs/in and oil at 8 quarters is 15 lbs. The total weight is 1,350 + 250 + 400 + 15 is 2015 lbs.</span>
6 0
3 years ago
20k + 5 = 5k + 65 know the answer
Katyanochek1 [597]

Solving for 'k'

20k + 5 = 5k + 65

20k = 5k + 65 -5

20k = 5k + 60

20k - 5k = 60

15k = 60

15k/15 = 60/15

k = 4

4 0
3 years ago
Read 2 more answers
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