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brilliants [131]
3 years ago
15

10 POINTS!!!! Fast!!! Nick has designed a diamond-shaped kite as shown below. The measures of some sides of the kite are marked

in the figure. Find the value of x. (JUSTIFY)
Show your work.. thanks

Mathematics
1 answer:
choli [55]3 years ago
5 0

Answer: 3.5 in

Step-by-step explanation

∡DOC=90°

DC=7

OC=5

Using Pytagora equation:

DO=√DC²-OC²

DO=√49-25

DO=2√6

Use Equation for area of triangle:

area of ΔDOC=a*Ha/2

DC=a=7

Ha=x---hight of ΔDOC

Area of ΔDOC=DO*OC/2

2√6*5/2=5√6

5√6=7*x/2

10√6=7*x

x=10/7√6

x=24.5/7

X=3.5 in

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Quadrilateral ABCD is transformed to create A′B′C′D′. Match the coordinates of A′ with the transformations that create it.
bulgar [2K]

Answer:

The answer is below

Step-by-step explanation:

From the image attached, the coordinates of point A is at (2, -4).

Transformation is the movement of a point from its initial location to a new position. Types of transformation include dilation, reflection, translation and rotation.

If a point A(x, y) is reflected over the x axis, the new point is at  A'(x, -y)

If a point A(x, y) is translated a units right and b units down, the new location is at A'(x + a, y - b)

If a point A(x, y) is dilated by  factor of a, the new location is at A'(ax, ay)

If a point A(x, y) is  rotated 180° clockwise about the origin, the new location is at A'(-x, -y)

Hence:

For Quadrilateral ABCD is reflected over the x-axis, the coordinates of A' is at A'(2, 4)

For Quadrilateral ABCD is translated 2 units right and 1 unit down, the coordinates of A' is at A'(4, -5)

For Quadrilateral ABCD is dilated by a scale factor of 3, the coordinates of A' is at A'(6, -12)

For Quadrilateral ABCD is rotated 180° clockwise about the origin the coordinates of A' is at A'(-2, 4).

Step-by-step explanation:

6 0
3 years ago
Can someone help me with question e please ? ​
MAXImum [283]

Answer:

Step-by-step explanation:

a) The domain is R- all real numbers.

b) The domain is R- all real numbers.

c) we need

x^{2}-4\neq  0\\x^{2} \neq 4\\x\neq 2\\and\\x\neq -2

So the domain is R\{-2, 2}

d)

we need

x^{2}+x-2\neq  0\\x\neq 1\\and\\x\neq -2

So the domain is R\{-2, 1}

e)

we need: x-1>0 or x> 1

So the domain is (1,+∞)

6 0
3 years ago
Order these ratios from least to greatest- 7:2, 12 to 4, 20/6, 21:14, 10:5<br> pls :,)
Brrunno [24]

Answer:

21:14, 10:5, 12 to 4, 20/6, and 7:2

Step-by-step explanation:

first simplify all the ratios.

the first one is already simplified

12 to 4 = 3 to 1

20/6 = 10/3

21:14 = 3:2

10:5 = 2:1

Next find the least common factor the the three digits, 1, 2, and 3 and which is 6.

Multiply the simplified factors into the least common factor. So 7:2 will be multiplied by 6 so it will be 21:6

Do it with the rest of the factors and get

21:6, 18 to 6, 20/6, 9:6, and 12:6

Finally order them from least to greatest,

9:6, 12:6, 18 to 6, 20/6, and 21:6

or

21:14, 10:5, 12 to 4, 20/6, and 7:2

4 0
3 years ago
The diameter of a round coin is 27.9 millimeters. What is the approximate area of one face of the coin?
Paladinen [302]

Answers is C

Step by step solution is attached

7 0
3 years ago
Every summer I drive to San Diego. It is 700 km to get there. If I average 100 km/hr, how much time will I spend driving?
Ilya [14]

Answer: 7 hours

Step-by-step explanation: Driving one kilometer per hour, all you have to do is divide 700/100 to get your answer which is seven.

4 0
3 years ago
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