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3 years ago

Help please!!.........

Mathematics

1 answer:

zhannawk [14.2K]3 years ago

7 0

Answer:

132

Step-by-step explanation:

The exterior angle in a triangle is equal to the sum of the 2 opposite interior angles

n is an exterior angle, hence

n = 90 + 42 ← 2 opposite interior angles

n = 132°

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Bradley and Kelly are out flying kites at a park one afternoon. A model of Bradley and Kelly's kites are shown below on the coor

Alex787 [66]

The correct answer is:

C. They are similar because the corresponding sides of kites KELY and BRAD all have the relationship 2:1.

Using the distance formula,

$d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}$

the lengths of the sides of BRAD are:

$\text{BR}=\sqrt{(7-6)^2+(3-4)^2}=\sqrt{1^2+(-1)^2}=\sqrt{1+1}=\sqrt{2}\\\\\text{RA}=\sqrt{(6-3)^2+(4-3)^2}=\sqrt{3^2+1^2}=\sqrt{9+1}=\sqrt{10}\\\\\text{AD}=\sqrt{(3-6)^2+(3-2)^2}=\sqrt{(-3)^2+1^2}=\sqrt{9+1}=\sqrt{10}\\\\\text{DB}=\sqrt{(6-7)^2+(2-3)^2}=\sqrt{(-1)^2+(-1)^2}=\sqrt{1+1}=\sqrt{2}$

The lengths of the sides of KELY are:

$\text{KE}=\sqrt{(2-0)^2+(11-9)^2}=\sqrt{2^2+2^2}=\sqrt{4+4}=\sqrt{8}=2\sqrt{2}\\\\\text{EL}=\sqrt{(0-2)^2+(9-3)^2}=\sqrt{(-2)^2+6^2}=\sqrt{40}=2\sqrt{10}\\\\\text{LY}=\sqrt{(2-4)^2+(3-9)^2}=\sqrt{(-2)^2+(-6)^2}=\sqrt{40}=2\sqrt{10}\\\\\text{YK}=\sqrt{(4-2)^2+(9-11)^2}=\sqrt{2^2+(-2)^2}=\sqrt{8}=2\sqrt{2}$

Each side of KELY is twice the length of the corresponding side on BRAD. This makes the ratio of the sides 2:1 and the figures are similar.

8 0

3 years ago

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Find the value of x for following problems

leva [86]

Answer:

find the x in my bag ;D

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2 years ago

The measure of A is 75°, and the measure of B is 105°. What is the relationship of angles A and B?

Leni [432]

Answer:

D supplementary angles

Step-by-step explanation:

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3 years ago

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A regular hexagon has an apothem of 14.7 inches and a perimeter of 101.8 inches. What is the area of the hexagon?

Neporo4naja [7]

<u>Answer</u>

748.23 in²

<u>Explanation</u>

Apothem a line from the centre of a regular polygon at right angles to any of its sides. This can be said to be the height of the triangle in a polygon.

The base of the hexagon = 101.8 ÷ 6

= 19.96666..

= 19.9667 inches

Area of the hexagon = 1/2 × height × base length × 6

= 1/2 × 14.7 × 19.9667 × 6

= 748.23 in²

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3 years ago

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Seventy-two students chose to watch a movie on the last day of school. This is 60% of the 6th-grade class. How many total studen

Dimas [21]

Answer:

300

Step-by-step explanation:

75 multiplied by 4 is 300

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2 years ago

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Help please!!.........​

Help please!!.........