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zubka84 [21]
3 years ago
14

I need help with this question.

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
5 0
A trapezoid is defined as a quadrilateral with only 1 pair of parallel sides. Since your Quadrilateral has 2 pairs, it can't be a trapezoid.
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What is the exact perimeter of kite ? Show your work.
Afina-wow [57]

Answer:

<u>The perimeter of the kite is 29 units.</u>

Step-by-step explanation:

1. Let's use the Pythagorean Theorem to find the perimeter of the kite:

With the information given, we have four right triangles with a new point A, intersecting UW and VX. Those triangles are:

Δ UVA

Δ VWA

Δ UXA

Δ XWA

As we can see in the figure, length of UV and VW is the same and the length of UX and WX is also the same.

2. Let's find the value of UV and VW

UV is the hypotenuse of Δ UVA and it sides are 3 and 4 units length. So, we can calculate the length of UV this way:

Length of UV ² = UA ² + VA ²

Replacing with the real values:

Length of UV ² = 3 ² + 4 ²

Length of UV ² = 9 + 16

Length of UV ² = 25

√Length of UV ² = √25

<u>Length of UV  = 5 units ⇒ Length of VW = 5 units</u>

3. Let's find the value of UX and WX

UX is the hypotenuse of Δ UXA and it sides are 3 and 9 units length. So, we can calculate the length of UX this way:

Length of UX ² = UA ² + XA ²

Replacing with the real values:

Length of UX ² = 3 ² + 9 ²

Length of UX ² = 9 + 81

Length of UV ² = 90

√Length of UV ² = √90

<u>Length of UV  = 9.5 units (rounding to the nearest tenth) ⇒ Length of WX= 9.5 units</u>

<u>4. </u>Let's calculate the perimeter of the kite:

Perimeter of the kite = UV + VW + WX + UX

Perimeter of the kite = 5 + 5 + 9.5 + 9.5

<u>Perimeter of the kite = 29 units</u>

7 0
3 years ago
what is the graph of an arithmetic sequence whose first term is 1 and whose common difference is 0.5?
Sati [7]
The graph will be a set of disjoint points with coordinates [n, 0.5*(1+n)]
8 0
3 years ago
I'm doing math homework and the boy next to me asked what the mean to there numbers is, 22, 26, 28, 30, 39, 44, 62, and 63 what
AfilCa [17]
22+26+28+30+39+44+62+63= 314 Divide the answer by the amount of numbers =39.25
8 0
3 years ago
Read 2 more answers
solve this system using a systems of equations. Discount Rental Cars charges a daily fee plus a mileage fee for renting its cars
kipiarov [429]

Answer:

Barney 145 3 Days 310 Miles

Mary   250 5 Days 600 Miles

A)  3 D + 310 M = 145

B) 5 D + 600 M = 250

Multiplying A) by -5/3

A) -5 D - 516.6666M = -241.66666666

B) 5D + 600M = 250

Adding A) and B)

83.3333 M = 8.3333333333

M = .10 per mile

3 D = 114

Daily Rate = 38 dollars per day

Step-by-step explanation:

3 0
3 years ago
What is the volume of a ball that has a diameter of 9 inches? Round to the nearest whole number
nalin [4]
Ball=sphere
Vsphere=pir^3
d/2=r
d=9
9/2=4.5=r
V=pi4.5^3
V=pi91.125
aprox pi=3.141592
V=286.227
round
V=286 in^3
4 0
3 years ago
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