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3 years ago

NEED SMART STUDENT PLEASEE

Mathematics

2 answers:

marshall27 [118]3 years ago

5 0

<h2>PLEASE MARK BRAINLIEST!</h2>

Answer:

All triangles equal up to 180⁰. With that in mind, let's solve

Step-by-step explanation:

x + 124⁰ + 33⁰ = 180⁰

\_______/

x + 157⁰ = 180⁰

- 157⁰ -157⁰

_______ ______

x = 23⁰

x = 23⁰

The bolded part is your answer. I hope this helps!

Harlamova29_29 [7]3 years ago

5 0

Answer:

The x is equal to 23°.

Step-by-step explanation:

Because any triangle's three angles add up to 180°, all you have to do is add the other two angles together and subtract that sum from 180.

180 - (124 + 33) = 23°

Hope this helps,

♥A.W.E.S.W.A.N.♥

(P.S. You can give 5accsdeletedalready Brainliest, you need either 2 people to be able to choose Brainliest or you have to wait until the next day.)

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$\huge\bold{Given:}$

Length of the base = 16 km.

Length of the hypotenuse = 34 km. $\huge\bold{To\:find:}$

✎ The length of the missing leg '' $a$ ".

$\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}$

The length of the missing leg "a" is $\boxed{30\:km}$ .

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}$

Using Pythagoras theorem, we have

$({perpendicular})^{2} + ({base})^{2} = ({hypotenuse})^{2} \\ ⇢ {a}^{2} + ({16 \: km})^{2} = ({34 \: km})^{2} \\ ⇢ {a}^{2} + 256 \: {km}^{2} = 1156 \: {km}^{2} \\ ⇢ {a}^{2} = 1156 \: {km}^{2} - 256 \: {km}^{2} \\ ⇢ {a}^{2} = 900 \: {km}^{2} \\ ⇢a \: = \sqrt{900 \: {km}^{2} } \\ ⇢a = \sqrt{30 \times 30 \: {km}^{2} } \\ ⇢a = 30 \: km$

$\sf\blue{Therefore,\:the\:length\:of\:the\:missing\:leg\:"a"\:is\:30\:km.}$

$\huge\bold{To\:verify :}$

$( {30 \: km})^{2} + ({16 \: km})^{2} =( {34 \: km})^{2} \\ ⇝900 \: {km}^{2} + 256 \: {km}^{2} = 1156 \: {km}^{2} \\⇝1156 \: {km}^{2} = 1156 \: {km}^{2} \\ ⇝L.H.S.=R. H. S$