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Gemiola [76]
3 years ago
9

A bike path crosses a road as shown. Solve for each indicated angle measure or variable.

Mathematics
1 answer:
Vitek1552 [10]3 years ago
3 0
Given:
84° angle
4x angle
angle M  

The angle that measures 84° and the angle that measures 4x are vertical angles. This means that their angle measures are congruent. Thus, the value of x is 21°

84° = 4x
84° / 4 = x
21° = x

Angle M and the angle that measures 84° are supplementary angles. This means that the sum of their measure equals 180°. Thus, angle M measures 96°.

84° + M = 180°
M = 180° - 84°
M = 96°

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Alina [70]
Where is the expression?
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Identify the similar triangle. Then find each measure (round to the nearest tenth).
m_a_m_a [10]

Answer:

ZWU ~ WYU

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UY= 1.5

Step-by-step explanation:

ZUW ~ WUY ~ ZWY

5/3=x+1/x

Cross multiply

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4 0
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Find the value of x and y if 50=x+y
solong [7]
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x-y=130
x+y=50
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6 0
3 years ago
The average life of an electric scooter is 12 years with a standard deviation of 1.5 years. The manufacturer replaces for free a
Dmitrij [34]

The guarantee which should be given by the manufacturer in years is; 0.405years

<h3>Percentages and Averages</h3>

Since the average life of a scooter is 12 years with a standard deviation of 1.5 years.

Hence, the maximum life of any electric scooter is 13.5 years.

On this note, to offer a guarantee with the intention to replace only 3% of the scooters;

We must evaluate 3% of 13.5 years as follows;

  • Guarantee offer = 3% of 13.5 years

  • Guarantee offer = (3/100) × 13.5

Guarantee offer = 0.405 years

Read more on percentages;

brainly.com/question/24304697

5 0
2 years ago
Use the discriminant to describe the roots of each equation. Then select the best description. 2m2 + 3 = m.
Tpy6a [65]

The roots of the equation , 2m^{2}+3=m, are non real roots.

<h3>Discriminants are what?</h3>

The quadratic formula's discriminant is represented by the square root symbol b^{2}-4ac. If there are two solutions, one solution, or none at all, the discriminant informs us.

As of now, 2m²+3=m we need to find the kind of roots they have.

2m²+3=m

2m²-m+3=0

Here, we can derive the following values from the equation:

a = 2, b = -1, c = 3

An equation's discriminant is stated as:

D = b²-4ac

D = (-1)(-1) - 4(2)(3)

D = 1 - 24

D = -23

Discriminant can determine the kind of roots that the equation contains.

In this instance, the discriminant is below 0.

The equation's roots are complex conjugates when D < 0.

Hence the roots for the equation are non real roots.

To get more information about discriminant follow the link:

https://brainly.in/question/27214502

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4 0
2 years ago
Read 2 more answers
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