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Lelu [443]
3 years ago
6

Quadrilateral ABCD is the result of a translation of quadrilateral EFGH. Segment EF is parallel to segment HG in the pre-image.

Mathematics
2 answers:
Mazyrski [523]3 years ago
3 0
The correct answer:
The corresponding segments BC and AD in the image are parallel
11111nata11111 [884]3 years ago
3 0

Answer: Segment BC of image is parallel to  segment AD of image.

Step-by-step explanation:

Given: Quadrilateral ABCD is the result of a translation of quadrilateral EFGH.

Segment EF is parallel to segment HG in the pre-image.

Since translation is a rigid transformation which preserves the side-lengths and angles of the original figures.

Therefore, all the segments of the image figure are parallel to correspondent segments of the original figure.

Segment AD of <em>image</em> is parallel to segment HG  in the <em>pre-image.</em>

Segment BC of <em>image</em> is parallel to  segment  EF in the <em>pre-image.</em>

<em />

Hence, if Segment EF is parallel to segment HG in the pre-image.

⇒ Segment BC of image is parallel to segment AD in image.

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3x20=3x(10+_) what is the answer?
Assoli18 [71]
The obvious answer to this would be 10.

The most simple way to do it would be taking out 3 x from each side of the equation and do 20 = 10 + _

Another way would be to actually solve it.

Let us put into the situation that the unknown variable would be y. The equation then would look like this.

3 x 20 = 3 x (10 + y)

Then solve

3 x 20 = 3 x (10 + y)
--------    ---------------
   3                  3
20 = 10 + y
20 - 10 = y
10 = y

10 would be the answer
3 0
3 years ago
Read 2 more answers
Solve by completing the square. Round<br> x^2-4x=5
Novosadov [1.4K]

Answer: -1 and 5.

Step-by-step explanation:

x - 4x = 5 : Move the constant to the left.

x^2 - 4x - 5 = 0 : Rewrite the expression.

x^2 + x - 5x - 5 = 0 : Factor the expressions.

x(x+1) - 5(x+1) = 0 : Factor the expression.

(x+1)(x-5) = 0 : Seperate into possible cases.

x + 1 = 0, x - 5 = 0 : Solve the equations.

x = -1, x = 5 : The equation has 2 solutions.

8 0
2 years ago
For triangle ABC with A=103, B=24, a=16, find angle C
Ilya [14]

Answer:

given A=103° , B=24°

In triangle ABC,

A+B+C=180° [angle sum property of triangle]

103°+24°+C=180°

127°+C=180°

C=180°-127°

C=53°

hope it help u dear...

5 0
3 years ago
Find the equation of the sphere passing through pleft parenthesis negative 4 comma 7 comma 6 right parenthesis(−4, 7, 6) and qle
Oksi-84 [34.3K]

The equation of a sphere is:

(x – h)^2 + (y – k)^2 + (z – l)^2 = r^2

where h, k and l are the coordinates of the center of the sphere

 

Using the midpoint formula, the coordinate of the center is:

h = (-4 + 6) / 2 = 1

k = (7 + -5) / 2 = 1

l = (6 + 7) / 2 = 6.5

 

so the equation becomes:

(x – 1)^2 + (y – 1)^2 + (z - 6.5)^2 = r^2

 

we plug in any point, in this case point P to solve for r:

(-4 -1)^2 + (7 – 1)^2 + (6 - 6.5)^2 = r^2

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So the full equation is:

<span>(x – 1)^2 + (y – 1)^2 + (z - 6.5)^2 = 61.25</span>

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3 years ago
Which of the following fractions will convert to terminating decimals?
valina [46]

Answer:

B and D

Step-by-step explanation:

A terminating decimal differs from a repeating decimal in that ; terminating decimals have a finite number of numbers after a decimal point whereby repeating decimals Don not have a fine number of numbers after the decimal point.

Given :

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6 0
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