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kipiarov [429]
3 years ago
10

I wasn’t sure how to put this into words so I posted a pic, help is appreciated. ( Sorry for spamming you all I really need help

)

Mathematics
1 answer:
DanielleElmas [232]3 years ago
5 0

Again, I've attached an image showing the 30-60-90 relationship for triangles. Hopefully this should help as we work through this problem.

For the side adjacent to the 30 degree angle, we know that the side length is x\sqrt{3}. Let's take a look at the given options and see which ones fit.

The options that fit are x\sqrt{3} and 7\sqrt{3}.

For the side adjacent to the 60 degree angle, we know that the side length is just x. Let's take a look at the given options and see which ones fit.

The options that fit are x and 7.

Finally, the hypotenuse is the longest side of the triangle and its length is equal to 2x.

So, the options that fit are 2x and 14.

Hope this helps! :)

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According to a recent Catalyst Census, 16% of executive officers were women with companies that have company headquarters in the
Elanso [62]

Answer: 0.0885

Step-by-step explanation:

Given : According to a recent Catalyst Census, 16% of executive officers were women with companies that have company headquarters in the Midwest.

i.e. p= 0.16

Sample size : n= 154

Now, the  probability that more than 20% of this sample is comprised of female employees is given by :-

P(p>0.20)=P(z>\dfrac{0.20-0.16}{\sqrt{\dfrac{0.16(1-0.16)}{154}}})

[∵ z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}]

=P(z>1.35)\approx1-P(z\leq1.35)=1-0.9115=0.0885  [Using the standard z-value table]

Hence, the required probability = 0.0885

6 0
3 years ago
In a diagram, X is the midpoint of Segment VZ. VW =5, and VY =20. Find the coordinates of W,X, and Y.
guapka [62]

solution:

x(a_{x},b_{x})is midpoint of vz\\
a_{x}=\frac{a_{v}+a_{z}}{2}=\frac{-12+22}{2}=\frac{10}{2}=5\\
b_{x}=\frac{b_{v}+b_{z}}{2}=\frac{0+0}{2}=0\\
and,\\
x(5,0)\\
w(a_{w},b_{w}),v_{w} and w is on the right of v.\\
a_{w}-a_{v}=5\\
a_{w}-(-12)=5\\
a_{w}+12=5\\
a_{w}=5-12=-7\\
w(-7,0)\\
y(a_{y},b_{y})=20 and y is on the right of v.\\
a_{y}-a_{v}=20\\
a_{y}-(-12)=20\\
a_{y}+12=20\\
a_{y}=20-12=8\\
y=(8,0)

7 0
3 years ago
What is the value of x in the equation 3x – 4y = 65, when y = 4? x = 23 x = 27 x=13 1/4 x=21 2/3
Vikki [24]

x=27




hope thats helpful

8 0
3 years ago
Step by step completion
zlopas [31]
Hope it helps!
#MissionExam001

5 0
3 years ago
What's a line segment ray in ur OWN words<br> If it's from Go.ogle ur answer will be deleted
kvasek [131]

Answer:

a line segment is an object with two endpoints , a ray is a  part of a line that has no fixed starting point

Step-by-step explanation:

4 0
3 years ago
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