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Jlenok [28]
2 years ago
11

What is the value of x? If necessary leave your answer in the simplest radical form.

Mathematics
1 answer:
frutty [35]2 years ago
4 0
<h3>Answer:  32</h3>

Explanation:

This is a 30-60-90 triangle as shown by the angles. These types of triangles have their shortest leg opposite the smallest angle, and the connection between the short and long legs is

long = short*sqrt(3)

We see that the long leg is 16*sqrt(3) units long, which must mean the short leg is 16 units. This doubles to 32 when we go from short leg to hypotenuse

hypotenuse = short*2

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See the attached picture.
katrin2010 [14]

Answer:

67.5 ft

Step-by-step Explanation:

==>Given:

∆MAB and ∆MNP, such that:

AB is parallel to NP

MN and MP are transversal

MN = 71.5 ft

MP = 97.5 ft

AN = 22ft

MA = MP - AN = 71.5 - 22 = 49.5 ft

MB = x

==>Required:

Value of x

==>Solution:

From the figure given, since AB is parallel to NP, and MN and MP are transversal, thus:

<MAB is congruent to <MNP

<MBA is congruent to <MPN

This implies that ∆MAB is similar to ∆MNP

Therefore, the ratio of their corresponding sides would be the same, and also proportional.

Thus,

MA/MN = MB/MP

49.5/71.5 = x/97.5

=>Cross multiply to solve for x

49.5 × 97.5 = x × 71.5

4,826.25 = 71.5x

=>Divide both sides by 71.5

4,826.25/71.5 = x

67.5 = x

x = 67.5 ft

6 0
3 years ago
How can I Reduce 26 over 286
AlladinOne [14]
11 

u can reduce it into 11
6 0
3 years ago
Determine which of the following graphs does not represent a function.
AlladinOne [14]

Answer:

There is no graph

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What’s a least common multiple of 22 and 4
ikadub [295]

Answer

Least common multiple of 4 and 22 is 44.

3 0
3 years ago
Read 2 more answers
If point D is placed on AC, how will the measure of DAB relate to the measure of CAB?
xeze [42]

Answer:angle DAB will be equal to angle CAB

Step-by-step explanation:

AC is a straight line and forms one of the sides of triangle ABC. If point D is placed on line AC, angle DAB would remain equal to angle CAB since they are on the same line the angle formed with line AB remains the same.

6 0
4 years ago
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