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Ray Of Light [21]
3 years ago
12

1. Rotate ABC 180° about the origin making DEF. List all congruent sides and angles:

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
6 0

Answer:

<h3>              ∠ABC≅∠DEF </h3><h3>              ∠BCA≅∠EFD </h3><h3>              ∠CAB≅∠FDE </h3><h3>           AB≅DE,  BC≅EF,  CA≅FD</h3>

Step-by-step explanation:

To rotate point A 180° about the origin (point O) we draw a line from that point (A) throu the origin, measure the distance from the point A to the origin, and then measure the same distance on the other side of the origin to get rotated point. Mark it. The angle at the rotated point will be congruent to ∠A

The same goes for points B and C

Angles at pair of given and rotated point are congruent.

Sides of triangle are congruent if they lay between two congruent angles.

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and answer will be D or c

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A farmer has a rectangular field that measures 100 feet by 150 feet. He plans to increase the area of the field by 20%. He will
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Answer:

(100 + x) x (150 + x) = 18,000 ft^2

Step-by-step explanation:

area of a rectangle = length x width

Area of the original field = 15,000

Area after 20% increase = 1.2 x 15,000 = 18,000

Increase i length = 100 + x

increase i width = 150 + x

Area = (100 + x) x (150 + x) = 18,000 ft^2

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3 years ago
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Leslie tunes musical instruments. Leslie tuned a guitar with 6 strings today. Then she tuned a piano with 37 times as many strin
e-lub [12.9K]

Answer: The piano has 222 strings, because 37×6=222.

Step-by-step explanation:

Since we are informed that Leslie tuned a guitar with 6 strings today and that she then tuned a piano with 37 times as many strings.

This simply means that we have to multiply 37 by 6 strings to get the value of the strings of the piano that she tuned. This will be:

= 6 × 37

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Therefore, the piano has 222 strings, because 37×6=222.

8 0
3 years ago
I need help I don't understand at all.
Shalnov [3]
Let's solve your equation step-by-step.

1/4x - 2 = -6 + 5/12x

Step 1: Subtract 5/12x from both sides.

So now the problem is: -1/6x - 2 = -6

Step 2: Add 2 to both sides

So now the problem is -1/6x = -4

Step 3: Multiply -6 to both sides

Now you have x alone and 24

Answer: x = 24
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How do you answer this question
GaryK [48]

Answer:

9x^2 -4

Step-by-step explanation:

(3x+2) (3x-2)

FOIL

first: 3x*3x = 9x^2

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inner: 3x*2 = 6x

last: -2*2 = -4

Add together

9x^2 -6x+6x -4

9x^2 -4

6 0
3 years ago
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