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bonufazy [111]
3 years ago
11

One sixth of a number?​

Mathematics
1 answer:
rodikova [14]3 years ago
5 0
One-sixth of a number is four
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laiz [17]

Answer:

60

Step-by-step explanation:

We are given the triangles are congruent, that means the angles are the same measurement

<A = <X

<B = <Y

<C = <Z

We know A = 50  so X = 50

We know <Y = 70 so < B = 70

The three angles of a triangle add to 180

<A + <B + <C = 180

Substituting into the equation

50 + 70 + <C = 180

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A carpenter added a diagonal brace to gate. The gate is 8ft. Wide and 10 ft. Tall. How long is the brace
jeyben [28]

Answer:

The brace is 2\sqrt{41} ft ≅ 12.806 ft long

Step-by-step explanation:

The length of the diagonal of a rectangle can be found using this rule

d=\sqrt{l^{2}+w^{2}} , where

  • l is its length
  • w is its width

∵ The gate has shaped a rectangle

∵ Its length = 10 ft

∵ Its width = 8 ft

∴ l = 10 and w = 8

∵ The brace is the diagonal

→ By using the rule above

∴ d=\sqrt{(10)^{2}+(8)^{2}}=\sqrt{100+64}=\sqrt{164}

∴ The length of the brace = 2\sqrt{41} ≅ 12.806 ft

∴ The brace is 2\sqrt{41} ≅ 12.806 ft long

3 0
3 years ago
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