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Sloan [31]
3 years ago
13

Find the value of x in each quadrilateral.

Mathematics
1 answer:
frozen [14]3 years ago
8 0

bearing in mind that the sum of all interior angles in a polygon is

<h3>180( n - 2 ),  n = number of sides in the polygon.</h3>

well, this one is a quadrilateral, it has 4 sides, so n = 4, so the total amount for all interior angles will be 180( 4-2) = 360°, that means

\bf 57+97+131+(15+4x) = 360\implies 300+4x=360 \\\\\\ 4x = 60\implies x = \cfrac{60}{4}\implies x = 15

You might be interested in
Consider the two triangles.
GuDViN [60]

Answer:

(A)Show that the ratios StartFraction U V Over X Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over Z Y EndFraction are equivalent.

\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}

Step-by-step explanation:

In Triangles WUV and XZY:

\angle VUW$ and \angle YXZ$ are congruent. \\\angle U W V$ and \angle X Z Y$ are congruent.\\ \angle U V W$ and \angle Z Y X$ are congruent.

Therefore:

\triangle UWV \cong  \triangle XZY

To show that the triangles are similar by the SSS similarity theorem, we have:

\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}

As a check:

\dfrac{UW}{XZ}=\dfrac{40}{32}=1.25\\\\\dfrac{WV}{ZY}=\dfrac{60}{48}=1.25\\\\\dfrac{UV}{XY}=\dfrac{50}{40}=1.25

The correct option is A.

4 0
3 years ago
Multiple and convert to simplest form​
Lady bird [3.3K]

Answer:

1)4

2)28

3)18.3

4)38.5

5)22.5

6)19.25

7)25.5

8)69.666

9)6.5

10)22.666

Step-by-step explanation:

  • To do this first you should convert the mix numbers into inproper fractions and then solve.

1)8/5*5/2=4

2)21/5*20/3=7*4

                  =28

3)33/4*20/9=11*5/3

                   =55/3

                   =18.33...

                   =18.3

4)35/6*33/5=7*11/2

                   =77/2

                   =38.5

5)22/8*90/11=45/2

                    =22.5

6)11/3*21/4=11*7/4

                 =77/4

                 =19.25

7)34/5*15/4=34*3/4

                  =25.5

8)22/3*57/6=11*19/3

                   =209/3

                   =69.666

9)39/8*4/3=13/2

                 =6.5

10)17/2*8/3=17*4/3

                 =68/3

                 =22.666

<em>Hope you got this</em>

<em>If you have any doubt please ask me</em>

<em>If you need this in fraction form just check the attachment</em>

5 0
3 years ago
22 out of the 55 teachers in a
wlad13 [49]

Answer:

40%

Step-by-step explanation:

Our fraction would be 22/55. You can divide and then multiply by 100 to get your percentage.

8 0
2 years ago
Name the postulate or theorem you can use to prove the triangles congruent
Lesechka [4]

Answer:

ASA

Step-by-step explanation:

if you understood the other, similar questions now, this one is really, really easy.

we got the confirmation for 2 angles and the side between these angles.

so, angle side angle or ASA

6 0
3 years ago
Help please I need awenser
Bumek [7]
It affect the sum by being the higher number
7 0
3 years ago
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