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Aleks [24]
3 years ago
5

Please help, it's for a geometry quiz, show all work please, question in the image attached

Mathematics
1 answer:
aliya0001 [1]3 years ago
4 0

Answer:

m<ABC=94°

m<BCD=25°

m<ACB=43°

Step-by-step explanation:

To find <mBCD

m<ABD=133°, so m<CBD=133° too.

A triangle is equal to 180°.

22°+133°=155°

80°-155°=25°

To find <mACB

You first need to know triangle ACD measurements.

m<ADC=44° (22°+22°)

Then you take the two 25 and add them.

25°+25°=50°

50°+44°=94°

180°-94°=86°

86°÷2=43°

To find m<ABC

43°+43°=86°

180°-86°=94°

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A square has a diagonal length of 10 ft. Draw a diagram and determine the perimeter of the square.
denpristay [2]

The perimeter of the square is: 20\sqrt2 ft

Step-by-step explanation:

The picture is attached with the answer.

the diagonal of a square divides it into two right angled-triangles.

We can use one of the triangle to find the length of side as the diagonal will be the hypotenuse of the triangle

Let a be the side of the square, then according to Pythagoras theorem

d^2=a^2+a^2\\(10)^2 = 2a^2\\2a^2=100

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Hence,

The perimeter of the square is: 20\sqrt2 ft

Keywords: Perimeter, Pythagoras Theorem

Learn more about Square at:

  • brainly.com/question/3306327
  • brainly.com/question/3375830

#learnwithBrainly

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