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MAXImum [283]
2 years ago
12

Solve for x pls: Options: a) -11 b) 80 c) 51 d) -14

Mathematics
2 answers:
myrzilka [38]2 years ago
4 0

Answer:

x = -11

Step-by-step explanation:

Let the Triangle be named 'ABC'

In Triangle ABC,

∠A = x + 51

∠B = 80               (Intersecting lines, Vertically opposite Angles)

∠C = 60               (Intersecting lines, Vertically opposite Angles)

∠A + ∠B + ∠C = 180  (Sum of angles of Triangle = 180)

x + 51 + 80 + 60 = 180

=> x + 191 = 180

=> x = 180 - 191

=> x = -11

Oduvanchick [21]2 years ago
4 0

Answer:

-11

Step-by-step explanation:

Sum of all angles of triangle = 180

x + 51 + 80 + 60 = 180

x + 191 = 180

x = 180 -191

x = -11

Hint : VOA - Vertically opposite angles are congruent

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<img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%2F7%7D%7B7%5Csqrt%7B10%7D%2F2%20%7D" id="TexFormula1" title="\frac{3/7}{7\sqrt{10}
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Multiply the numerator and denominator by 7×2 = 14 to eliminate the denominators of those fractions:

\dfrac{\dfrac37}{\dfrac{7\sqrt{10}}2}\times\dfrac{14}{14}=\dfrac{3\times2}{7\sqrt{10}\times7}=\dfrac6{49\sqrt{10}}

Rationalize the denominator by multiplying both numerator and denominator by √10:

\dfrac6{49\sqrt{10}}\times\dfrac{\sqrt{10}}{\sqrt{10}}=\dfrac{6\sqrt{10}}{49(\sqrt{10})^2}=\dfrac{6\sqrt{10}}{49\times10}=\dfrac{6\sqrt{10}}{490}

Lastly, cancel the common factor of 2 in both the numerator and denominator (which comes from 6 = 2×3 and 490 = 2×245):

\dfrac{6\sqrt{10}}{490}=\dfrac{3\sqrt{10}}{245}}

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3 0
3 years ago
Please Help!!!!!! Use what you've learned today about the sum of the interior angles of triangles and quadrilaterals to determin
sveta [45]

Answer:

m = 116

x = 24

y = 76

z = 40

Step-by-step explanation:

For startes the interior angles of triangles always add up to 180 degrees.

That means....

73 + 83 + x = 180

z + m + x = 180

z + y + 64 = 180

Another important fact is that two angles that are intersected by a line in the case 64 and m always add up to 180 degrees.

So m + 64 = 180

Let's start with 73 + 83 + x = 180

If you add 73 and 83 you get 156

x + 156 = 180 then subtract 156 from both sides and

x = 24

Then use m + 64 = 180 subtract 64 from both sides and

m = 116

z + m + x = 180 become

z + 116 + 24 = 180

Add 116 and 24 and you get 140

z + 140 = 180 subtract 140 from both sides and

z = 40

Check to make sure m + x + z = 180

24 + 40 + 116 = 180

z + y + 64 = 180 becomes

y + 40 + 64 = 180

40 + 64 = 104 so

y + 104 = 180 subtract 104 from both sides and

y = 76

Congratulations you have found all of the angles!

6 0
3 years ago
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