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scZoUnD [109]
3 years ago
5

On a coordinate plane, kite H I J K with diagonals is shown. Point H is at (negative 3, 1), point I is at (negative 3, 4), point

J is at (0, 4), and point K is at (2, negative 1). Which statement proves that quadrilateral HIJK is a kite? HI ⊥ IJ, and m∠H = m∠J. IH = IJ = 3 and JK = HK = StartRoot 29 EndRoot, and IH ≠ JK and IJ ≠ HK. IK intersects HJ at the midpoint of HJ at (−1.5, 2.5). The slope of HK = Negative two-fifths and the slope of JK = Negative five-halves.

Mathematics
1 answer:
bekas [8.4K]3 years ago
8 0

Answer:

(B)IH = IJ = 3 and JK = HK = \sqrt{29}$ units, and IH ≠ JK and IJ ≠ HK.

Step-by-step explanation:

In a kite the following properties applies

<u>Adjacent sides are equal</u>

IH and IJ are adjacent sides

IH=IJ=3 Units

Similarly, JK and HK are adjacent sides and:

JK = HK = \sqrt{29}$ units

<u>Since opposite sides of a kite must not be equal,</u>

IH ≠ JK and IJ ≠ HK.

Therefore, Option B is the statement that proves that HIJK is a kite.

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Find the distance between each pair of points. round your answer to the nearest tenth.
goldenfox [79]

Answer:

5.4

Step-by-step explanation:

To find the distance between each pair of points, we use the distance formula, which is:

d = \sqrt{(x_{2}-x_{1})^2 + (y_{2} -y_{1})^2  }

So we have

x_{1} = 2\\ x_{2} = 4\\y_{1} = 8\\y_{2}=3

When we plug in the values into the formula we get:

d = \sqrt{(4-2)^2 + (3-8)^2}

d = \sqrt{4 + 25}\\ =\sqrt{29}\\ =5.4

3 0
3 years ago
Read 2 more answers
Which is the most likely first step needed to solve this equation?
Vanyuwa [196]

Answer:

C.  Add 15 to both sides

Step-by-step explanation:

Given equation:

99x – 15 = 45

To solve:

<u>Step 1</u>:  Add 15 to both sides:

⇒ 99x – 15 + 15 = 45 + 15

⇒ 99x = 60

<u>Step 2</u>:  Divide both sides by 99:

⇒ 99x ÷ 99 = 60 ÷ 99

⇒ x = 60/99

⇒ x = 20/33

5 0
2 years ago
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The Pyramids of Egypt need to be repaired but first we must find the total Volume so we know how many bricks to buy. This Pyrami
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Answer:

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6 0
3 years ago
Y=x+5<br> 4x+y=20<br> Solving system by substitution
sineoko [7]
Y = x + 5....so we sub in x + 5 for y in the other equation

4x + y = 20
4x + x + 5 = 20
5x + 5 = 20
5x = 20 - 5
5x = 15
x = 15/5
x = 3

y = x + 5
y = 3 + 5
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solution is (3,8)
3 0
3 years ago
To find 10, Beau found 32 = 9 and 42 = 16. He said that since 10 is between 9 and 16, 10 is between 3
AlexFokin [52]

Given that:

Consider it is \sqrt{10} instead of 10 on two places.

\sqrt{10} is between 3  and 4. So, Beau thinks a good estimate for \sqrt{10} is = 3.5.

Solution:

To find \sqrt{10}, Beau found 3² = 9 and 4² = 16.

He said that since 10 is between 9 and 16.

Since 10 is close to 9, therefore \sqrt{10} must be close to 3. So, Beau's estimate is high.

Now,

(3.1)^2=9.61

(3.2)^2=10.24

Since, 10 lies between 9.61 and 10.24, therefore \sqrt{10} must be lies between 3.1 and 3.2.

\dfrac{3.1+3.2}{2}=3.15

Therefore, the estimated value of \sqrt{10} is 3.15.

4 0
3 years ago
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