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2 years ago

Find the value of x and y

Mathematics

1 answer:

Vera_Pavlovna [14]2 years ago

3 0

Answer:

x = 63 , y = 27

Step-by-step explanation:

x+ 117 make a straight line so they equal 180 degrees.

x+117 = 180

Subtract 117 from each side

x+117-117= 180-117

x =63

x and y are complementary, which means they add to 90

x+y = 90

63+y = 90

Subtract 63 from each side

63-63+y = 90-63

y = 27

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Kite E F G H is inscribed in a rectangle. Points F and H are midpoints of sides of the rectangle, and creates a side length of x

Hoochie [10]

Answer:

5 units

Step-by-step explanation:

Let point O be the point of intersection of the kite diagonals.

|OF| = 2, |OH| = 5

|FH| = |OF| + |OH| = 2 + 5 = 7

FH and EG are the diagonals of the kite. Hence the area of thee kite is:

Area of kite EFGH = (FH * EG) / 2

Substituting:

35 = (7 * |EG|) / 2

|EG| * 7 = 70

|EG| = 10 units

The longer diagonal of a kite bisects the shorter one, therefore |GO| = |EO| = 10 / 2 = 5 units

x = |GO| = |EO| = 5 units

7 0

2 years ago

Read 2 more answers

Find the volume of a cylinder with radius 5.7cm and height 10 cm, correct to 1 decimal place

Veseljchak [2.6K]

$\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5.7\\ h=10 \end{cases}\implies \begin{array}{llll} V=\pi (5.7)^2(10)\implies V=324.9\pi \\\\\\ V\approx 1020.7 \end{array}$

8 0

1 year ago

Which inequality is equivalent to I x-4 I <9

Leni [432]

(B) –9 < x – 4 < 9 inequality is equivalent to Ix-4I <9.

<h3>What is inequality?</h3>

Inequality is a statement of an order relationship between two numbers or algebraic expressions (greater than, greater than, or equal to, less than, or less than or equal to).
Inequality is defined as a difference in size, amount, quality, social position, or another factor.
Inequality occurs when you have ten of something and someone else has none.
(mathematics) A statement stating that one quantity is less than (greater than) another.

So, Ix-4I <9:

|x-4|<9 ⇒ -9 < x-4 < 9
-5 < x < 13

Therefore, (B) –9 < x – 4 < 9 inequality is equivalent.

Know more about inequality here:

brainly.com/question/11613554

#SPJ9

The complete question is given below:

Which inequality is equivalent to I x-4 I <9?

A –9 > x – 4 < 9

B –9 < x – 4 < 9

C x – 4 < –9 or x – 4 < 9

D x – 4 > –9 or x – 4 < 9

4 0

1 year ago

Carina begins to solve the equation -4 - 2/3x = -6 by adding 4 to both sides. Which statements regarding the rest of the solving

Andru [333]

Answer:

A.) After adding 4 to both sides, the equation is $-\frac{2}{3}x=-2$

C.) The equation can be solved for x using exactly one more step by multiplying both sides by $-\frac{3}{2}$

D.) The equation can be solved for x using exactly one more step by dividing both sides by $-\frac{2}{3}$

Step-by-step explanation:

The correct questions is as follows:

Carina begins to solve the equation -4-2/3x=-6 by adding 4 to both sides. Which statements regarding the rest of the solving process could be true? Check all that apply.

A.) After adding 4 to both sides, the equation is -2/3x=-2.

B.) After adding 4 to both sides, the equation is -2/3x=-10 .

C.) The equation can be solved for x using exactly one more step by multiplying both sides by -3/2.

D.) The equation can be solved for x using exactly one more step by dividing both sides by -2/3.

E.) The equation can be solved for x using exactly one more step by multiplying both sides by -2/3.

Given equation:

$-4-\frac{2}{3}x=-6$