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3 years ago

The circumcenter of a triangle is equidistant from the ____________ of the triangle.

Mathematics

1 answer:

Nataly_w [17]3 years ago

4 0

Answer:

The three vertices of the triangle.

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Can anyone help me with this? im confused

kvasek [131]

Answer:

1,2,3 and 6 are similar triangles by AA similarity

Step-by-step explanation:

1) ∠DEC ≅ ∠FEG {Vertically opposite angles}

DC // GF

∠ECD ≅ ∠EGF {Alternate interior angles}

∠EDC ≅ ∠EFG {Alternate interior angles}

ΔDEC & ΔFEG are similar triangles by AA similarity

2)MN // QP

∠LQP ≅ ∠QMN {Corresponding angles }

∠LPQ ≅ ∠PNM {Corresponding angles}

ΔLQP & ΔLMN are similar triangles by AA similarity

3) In ΔSYE ,

∠S = 180 - 90 - 39

∠S = 51°

In ΔCHW,

∠H = 180 - 51 - 90

∠H = 39

ΔSYE and ΔCHW

∠S ≅ ∠W = 51°

∠Y ≅ ∠C = 90°

∠E ≅∠H = 39°

ΔSYE & ΔWCH are similar triangles by AA similarity

6) ∠P ≅ ∠Z {Given}

∠PXQ ≅∠ZXY {Vertically opposite angles}

ΔPXQ & ΔZXY are similar triangles by AA similarity

5 0

1 year ago

sarah is currently making 39,000 a year at her job and had been offered a raise to 43,290 per year what would be the percent inc

Ivan

43290-39000=4290
4290÷39000=0.11
0.11x100= 11% increase

8 0

2 years ago

What is 15% from $850

Sergio039 [100]

Multiply 850x.15 which equals 127.5 and then subtract that from 850 and you get 722.5

5 0

3 years ago

Read 2 more answers

Find the equation of the line that is perpendicular to y = -2x+ 6 and passes though the point (-4,2).

Jobisdone [24]

Answer:

y= 1/2x + 6

Step-by-step explanation:

when making a perpendicular equation, flip the slope.

6 0

3 years ago

Read 2 more answers

How many 4-inch by 4-inch squares can be cut from a rectangular piece of leather measuring 4 feet by two-thirds of a yard?

oee [108]

72 squares can be cut from a rectangular piece of leather measuring 4 feet by two-thirds of a yard

Solution:

Given, 4-inch by 4-inch squares can be cut from a rectangular piece of leather measuring 4 feet by two-thirds of a yard

Therefore,

Area of square = 4 x 4 = 16

Thus area of square to be cut is 16 square inches

Rectangular piece of leather measuring 4 feet by two-thirds of a yard

Convert feet to inches

1 feet = 12 inch

4 feet = 4 x 12 = 48 inches

Also,

1 yard = 36 inch

Given is a two-thirds of a yard

$\frac{2}{3} \times 36 = 24\ inches$

Thus area of rectangular piece of leather is:

$Area = 48 \times 24 = 1152\ square\ inches$

Total number of squares cut is given as:

$\text{Total number of squares cut} = \frac{\text{area of leather}}{\text{ area of square}}$

Thus we get,

$\text{Total number of squares cut} = \frac{1152}{16} = 72$

Thus 72 squares can be cut from a rectangular piece of leather measuring 4 feet by two-thirds of a yard

8 0

3 years ago

Read 2 more answers