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sergij07 [2.7K]
3 years ago
12

Quadrilaterals ABCD and EFGH are similar. If the perimeter of the quadrilateral ABCD is equal to 4y² what is the perimeter of th

e quadrilateral EFGH?
Mathematics
2 answers:
Elodia [21]3 years ago
8 0

Answer:

Below.

Step-by-step explanation:

Similar figures have the same size but not necessarily the same size.

The respective sides will be in the same ratio in a similar figure.

So from the information given you can't say what the measure of the perimeter of quadrilateral EFGH is. All you can say is the ratio of the perimeters is the same as the ratio of the respective sides. If the ratio is 1:2 for example then the perimeter of EFGH is 2*4y^2 = 8y^2.

UNO [17]3 years ago
4 0

Answer:

Can't be determined.

Step-by-step explanation:

From the fact that the quadrilaterals are similar:

Corresponding sides are in proportion and

Corresponding angles are congruent.

We can't create a proportion, so there's nothing else that we can determine.

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Write a two-column proof. Given: line BD bisects angle CBE. Prove: angle ABD approximately equal to angle FBD.
ale4655 [162]

Answer:

The proof is derived from the summarily following equations;

∠FBE + ∠EBD = ∠CBA + ∠CBD

∠FBE + ∠EBD = ∠FBD

∠CBA + ∠CBD = ∠ABD

Therefore;

∠ABD ≅ ∠FBD

Step-by-step explanation:

The two column proof is given as follows;

Statement {}                                       Reason          

\underset{BD}{\rightarrow} bisects ∠CBE {}                            Given

Therefore;

∠EBD ≅ ∠CBD  {}                              Definition of angle bisector

∠FBE ≅ ∠CBA {}                                Vertically opposite angles are congruent

Therefore, we have;

∠FBE + ∠EBD = ∠CBA + ∠CBD {}     Transitive property

∠FBE + ∠EBD = ∠FBD {}                    Angle addition postulate

∠CBA + ∠CBD = ∠ABD {}                   Angle addition postulate

Therefore;

∠ABD ≅ ∠FBD        {}                          Transitive property.

3 0
3 years ago
A total of 765 tickets were sold for the school play. They were either adults or students tickets. There were 65 more student ti
Brrunno [24]

Answer: 350 adult tickets

Step-by-step explanation:

(omg I remember this question!)

  • a stands for the number of adult tickets sold

student tickets : a + 65

<em>the equation for the prob: </em>

765 = a + (a + 65)

<em>solve:</em>

combine 'like terms'

1.) 765 = a + a + 65

2.) 765 = 2a + 65

<u>- 65         - 65 </u>

700= 2a

divide by 2

700/2 = 2a/2

<em>(700/2 = 350) </em>

<em>(the "2" in 2a is cancelled out by the other 2)</em>

<u>350 = a </u>

7 0
3 years ago
Give a number that is not in the domain of <br><br> f(x) = √3x-6
Harman [31]
Any number that is less than 2 will work. It is impossible to find the square root of a negative number (you can only get imaginary number) since anything square is a positive number.
PS. If you are confused by the answer, just ask me.
5 0
3 years ago
Besides knowing every corresponding side and angle of one triangle is congruent to another, how could you prove that two triangl
Citrus2011 [14]

Step-by-step explanation:

Congruent means the same. You can prove that the two triangles are congruent by the measurements and also if they look the same. You can also see if parallelograms are congruent by seeing if they are the same. They also have to mirror the image of the other. Your welcome :)

7 0
3 years ago
Find three points that solve the equation x-3y = -7
serg [7]

x-3y=-7\qquad|-x\\\\-3y=-x-7\qquad|:(-3)\\\\y=\dfrac{x+7}{3}

<em>We choose any values of x and calculate the value of y</em>

for\ x=-4\to y=\dfrac{-4+7}{3}=\dfrac{3}{3}=1\to(-4,\ 1)\\\\for\ x=-1\to y=\dfrac{-1+7}{3}=\dfrac{6}{3}=2\to(-1,\ 2)\\\\for\ x=2\to y=\dfrac{2+7}{3}=\dfrac{9}{3}=3\to(2,\ 3)

<h3>Answer:  (-4, 1), (-1, 2), (2, 3).</h3>
6 0
4 years ago
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