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masya89 [10]
2 years ago
11

Find the values of x,y,z. This diagram is not a scale.

Mathematics
2 answers:
never [62]2 years ago
5 0

Answer:

c. <em>x</em><em> </em>= 76, <em>y</em><em> </em>= 63, <em>z</em><em> </em>= 104

Step-by-step explanation:

First, you have to use the Interior Angles Theorem [m<1 + m<2 + m<3 = 180°] to find the m<x:

46° + 58° + 76° = 180°

Now that you have the m<x, to find the m<z, you have to use the Supplementary Angles Theorem, which states that two angles [in this case] add up to 180°:

76° + 104° = 180°

Finally, to find the m<y, you again have to use the Interior Angles Theorem:

13° + 63° + 104° = 180°

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

Serjik [45]2 years ago
3 0

Important:
                             The sum of the three angles inside
                              every triangle is always 180°.


First, look at the left triangle alone.
Two of its angles are 46° and 58° .  (46° + 58° ) = 104°
That leaves (180° - 104° ) = 76° degrees for the third angle.
The third angle in that triangle is 'x'. 
                                                         x = 76° .

At the point where 'x' and 'z' come together:
'x' and 'z' are a "linear pair".
Placed side-by-side, they form a straight line.
So (x + z) = 180° .
But  x = 76°.
So z = (180° - 76°).              z = 104° .

Now look at the the skinny triangle on the right alone.
The angle at the top is 13°, and  z = 104°. 
(13° + 104°) = 117° . 
That leaves (180° - 117°) = 63° for the third angle.
'y' is the third angle.
                                                 y = 63° .

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The sum of the digits of a two-digit number is 9. If the digits are reversed,the new number is 9 more than the original number.F
hodyreva [135]

Answer:

45

Step-by-step explanation:

Let the original number be xy where y is unit and x is tens hence original number is 10x+y When reversed, the new number is yz hence 10y+x

We know that the original number plus 9 is the reversed number hence

10x+y+9=10y+x

9y-9x=9 which when simplified we obtain that

y-x=1 equation 1

Originally, we are told that the sum of x and y is 9 hence

y+x=9 equation 2

Solving equation 1, it means y=x+1

Substituting the above into equation 2

x+1+x=9

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Since y=x+1 then y=4+1=5

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4 0
3 years ago
The ratio of horses to elephants in the circus is 8 to 7 if there are 16 horses in the circus then how many horses and elephants
dybincka [34]
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7 0
3 years ago
Find the value of x. Give your answer in simplest radical form.
yarga [219]
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8 0
2 years ago
–15d – 12 = –4(d + 3) – 11d
Luden [163]
-15d - 12 = -4(d + 3) - 11d
-15d - 12 = -4d - 12 - 11d
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--------------------------------------------
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5 0
3 years ago
Read 2 more answers
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Dmitrij [34]

Answer:

9

Step-by-step explanation:

f(-3)=-1/3=-3 then crisscross

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-9=-1 divide by -1

f(-3)=9

4 0
3 years ago
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