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lubasha [3.4K]
3 years ago
12

Δ ABC is an equilateral triangle. Find m∠A

Mathematics
2 answers:
Anastasy [175]3 years ago
8 0

Answer:

60 degrees

Step-by-step explanation:

each angle in a triangle adds up to 180 so 180/3 equals 60

TEA [102]3 years ago
5 0

Answer:

60

Step-by-step explanation:

all angles in an equilateral triangle equal 60 because 180 ÷ 3 = 60

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The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lenghts of the bases of
Sati [7]

Answer:

<h2>The lengths of the bases of the trapezoid:</h2><h2>42/h cm and 84/h cm.</h2>

Step-by-step explanation:

The formula of an area of a triangle:

A=\dfrac{bh}{2}

<em>b</em><em> </em>- base

<em>h</em> - height

We have <em>b = 21cm, h = 6cm</em>.

Substitute:

A=\dfrac{(21)(6)}{2}=63\ cm^2

The formula of an area of a trapezoid:

A=\dfrac{b_1+b_2}{2}\cdot h

<em>b₁, b₂</em> - bases

<em>h</em><em> - </em>height

We have <em>b₁ = 2b₂</em>, therefore <em>b₁ + b₂ = 2b₂ + b₂ = 3b₂</em>.

The area of a triangle and the area of a trapezoid are the same.

Therefore

\dfrac{3b_2}{2}\cdot h=63         <em>multiply both sides by 2</em>

3b_2h=126          <em>divide both sides by 3</em>

b_2h=42         <em>divide both sides by h</em>

b_2=\dfrac{42}{h}

b_1=2b_2\to b_1=2\cdot\dfrac{42}{h}=\dfrac{84}{h}

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Answer:

Therefore the friends will have to buy 511 feet of fence (rounding up) or 510 feet of fence ( to the nearest foot).

Step-by-step explanation:

i) perimeter of rectangular yard = 319 feet

ii) perimeter of yard of friends = \frac{8}{5} \times 319 = 510.4

iii) Therefore the friends will have to buy 511 feet of fence or 510 feet of fence ( to the nearest foot).

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1/5 five being the denominator, because in math you must always simplify
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Step-by-step explanation:

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Please help I’ll appreciate it thank you
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107° because a line is 180 degrees and 180 minus 73 is 107
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