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Evgesh-ka [11]
2 years ago
11

If a series of rigid transformations maps ∠E onto ∠B where ∠E is congruent to ∠B, then which of the following statements is true

?
triangles ABC and FDE, in which angles A and D are right angles

ΔABC ~ ΔFDE because of the definition of similarity in terms of similarity transformations
segment DE ~ segment AB because corresponding parts of similar triangles are proportional
ΔABC ~ ΔFDE because of the AA similarity postulate
segment DE ~ segment AB because of the definition of similarity in terms of similarity transformations

Mathematics
1 answer:
Svetlanka [38]2 years ago
4 0

Answer:

C

Step-by-step explanation:

We know that there are 2 pairs of congruent angles, angles B and E along with the pair of right angles.

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Find the missing side, round to the nearest tenth.
Yuri [45]

Answer:

x=20°

Step-by-step explanation:

the photo is the explanation

7 0
4 years ago
Help me please the numbers I am using is 1,2,2,3,4,5,6,7,8,9
solong [7]

Answer:

2, 4.5 and 8

Step-by-step explanation:

(1)

The mode is the number which occurs most often , then

mode = 2

(2)

The median is the middle value of the numbers arranged in ascending order. If there is no exact middle value then it is the average of the numbers either side of the middle.

1,  2,  2,  3,  4,  5,  6,  7,  8,  9

                     ↑ middle

median = \frac{4+5}{2} = \frac{9}{2} = 4.5

(3)

The range is the difference between the largest and smallest values

range = 9 - 1 = 8

5 0
3 years ago
Read 2 more answers
Determine the value of angle x and angle y
ss7ja [257]

Answer:

80

Step-by-step explanation:

Sum of interior angles of a polygon = (n-1)x180= (6-2)x180=720

Since this looks like a regular hexagon each interior angle =720/6=120

Hence the inside angle touching the line is 120 (inside the hexagon)

Since one side of the hexagon is parallel to the line, y and 20 form adjacent angle, sum 180,

Then y= 180-20=160

Then x=360-(160+120)=80 because sum of all angles round a point=360

5 0
3 years ago
The sum of two numbers is 2. Their difference is -16. What is the first number?
Helen [10]

Answer: The first number is 4

Explanation: Since the sum of the two numbers is ten, x + y = 10

Also, since the difference of the two numbers is two, then x - y = 2

Since x - y = 2, another way to write that is x = y + 2 and since x is exactly the same as y + 2, we can plug in "y + 2" in place of x in the first equation (x + y = 10) to get (y + 2) + y = 10. Then we solve this equation by combining like-terms.

2y + 2 = 10

2y = 8

y = 4

Since x = y + 2, x = 4 + 2 or x = 6

I hope this helped you!

7 0
3 years ago
Read 2 more answers
You want to enlarge the picture by a factor of 4 from its current size of 5 inches by 7 inches what is the size of the enlarged
blondinia [14]

Answer:

20 inches by 28 inches

Step-by-step explanation:

The current size of the picture is 5 inches by 7 inches

If we want to enlarge the picture by a factor of 4, the perimeter will also increase by the factor of 4.

New dimension = 4(old dimensions)

= 4(5 inches by 7 inches)

= 20 inches by 28 inches

Hence, the size of the enlarged picture is 20 inches by 28 inches.

8 0
3 years ago
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