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aev [14]
3 years ago
8

Sketch the following to help answer the question. Kite WXYZ has a short diagonal of XZ and a long diagonal of WY. The diagonals

intersect at point V. The length of XZ = 8cm, and the measure of ∠XYV is 30 degrees. Find the length of segment VY.
16cm

8√3cm

8cm

4√3cm
Mathematics
2 answers:
Tpy6a [65]3 years ago
5 0
In a kite, the diagonals intersect normally. Hence, we also know that XV= 4cm, half of XZ. This is because the triangle XVY and XVW are equal, but it is a general property of kitest. XVY is the right angle in this. We can use then trigonometry to calculate VY.
We have that tan30= opposite site of angle XYV/adjacent leg by the definition of the tangent. Hence tan30= XV/YV. Thus, substituting the value of the tangent:
\frac{1}{ \sqrt{3} } =XV/VY \\ VY=  \sqrt{3} *XV=4 \sqrt{3}  cm
SCORPION-xisa [38]3 years ago
3 0

Answer:

its not right i got it wrong

Step-by-step explanation:

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Find the equation of the line that contains the given point and the given slope. Write the equation in slope-intercept form.
stealth61 [152]

The slope-point form of a line:

y-y_0=m(x-x_0)

The slope-intercept form of a line:

y=mx+b

1.

m=6,\ (4,\ 1)\to x_0=4,\ y_0=1

Substitute

y-1=6(x-4)\qquad|\text{use distributive property}\\\\y-1=6x-24\qquad|\text{add 1 to both sides}\\\\\boxed{y=6x-23}

2.

m=-5,\ (6,\ -3)

Substitute

y-(-3)=-5(x-6)\qquad|\text{use distributive property}\\\\y+3=-5x+30\qquad|\text{subtract 5 from both sides}\\\\\boxed{y=-5x+24}

3.

m=-\dfrac{1}{2},\ (-8,\ 2)\\\\y-2=-\dfrac{1}{2}(x-(-8))\\\\y-2=-\dfrac{1}{2}(x+8)\\\\y-2=-\dfrac{1}{2}x-4\qquad|\text{add 2 to both sides}\\\\\boxed{y=-\dfrac{1}{2}x-2}

4.

m=0,\ (-7,\ -1)\\\\y-(-1)=0(x-(-7))\\\\y+1=0\qquad|\text{subtract 1 from both sides}\\\\\boxed{y=-1}

3 0
3 years ago
What are some key features you can identify from the graph of exponential functions.
Naily [24]
The graph passes through the point (0,1)
The range is y>0
The domain is all real numbers
7 0
4 years ago
Which equation represents a line that is parallel to y=-4x+3 and that passes through the point (-1, 2)?
belka [17]
A parallel line will have the same slope, which is -4. So the answer so far cannot be A or B.
Put x=-1 in each of C and D and we get y=2 for C and y=1 for D. Since the point is (-1,2) the answer is C.
6 0
4 years ago
The cookies in sarah's cookie jar decrease by 5 cookies every 2 days. which rational number does not describes the scenario?
babymother [125]
A is the only one that ones not decrease using a negative sign
6 0
3 years ago
Read 2 more answers
Can i have some help
Marina CMI [18]
For 1. If two lines are parallel, the slopes are the same.
If two lines are perpendicular, the slopes are the opposite reciprocal, or is -1.
2. The answer is 3/2. Because in a perpendicular slope of a line, it has to be opposite sign and the reciprocal.
3.It is parallel.
because first we solve 6x-3y=8
We move the 6x to the other side, making it -6x
Now we have -3y=-6x+8
We use the y=Mx+b
-3y=-6x+8
Then we divide by -3
answer: y= 2x-8/3
now compare
y=2x+3
and
y=2x-8/3
With this we know it’s parallel because it’s the same slope but different y-intercept .

-I hope I helped:,)
4 0
3 years ago
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