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2 years ago

What is the value of x?

Mathematics

2 answers:

ki77a [65]2 years ago

4 0

5x-1=124
5x=125
x=25

So it’s the last answer x=25

This is because vertically opposite angles are the same so both of the angles are 124

Irina18 [472]2 years ago

3 0

Answer:

Step-by-step explanation:

Remark

The two angles across from each other are equal.

Equation

5x - 1 = 124 Add 1 to both sides

Solution

5x - 1 + 1 = 124 + 1 Combine

5x = 125 Divide by 5

5x/5 = 125/5

x = 25

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PLEASE HELP WILL GIVE BRAINLIEST!!!!

IrinaVladis [17]

Answer:

The height of the tree is 19.81 m

Step-by-step explanation:

Trigonometric Ratios

The ratios between the sides of a right triangle are called trigonometric ratios.

If any of the acute angles is chosen as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides and the hypotenuse.

The image shows a right triangle with a tree and the ground forming a right angle and an elevation angle of 33°.

This angle of 33° has a side of 30.5 m as its adjacent leg and the height of the tree X as the opposite side.

The trigonometric ratio that relates both legs is the tangent:

$\displaystyle \tan 33^\circ=\frac{X}{30.5}$

Solving for X

$X=30.5\cdot \tan 33^\circ$

Using a calculator:

X = 19.81 m

The height of the tree is 19.81 m

7 0

3 years ago

What is the equation of a line that passes through the point (8, 1) and is perpendicular to the line whose equation is y=−2/3x+5

swat32

Let $k:y=m_1x+b_1$ and $l:y=m_2x+b_2$

$l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}$

We have $y=-\dfrac{2}{3}x+5\to _1=-\dfrac{2}{3}$

Therefore

$m_2=-\dfrac{1}{-\frac{2}{3}}=\dfrac{3}{2}$

We have the equation of a line: $y=\dfrac{3}{2}x+b$ .

Put the coordinates of the point (8, 1) to the equation of a line:

$1=\dfrac{3}{2}(8)+b$

$1=(3)(4)+b$

$1=12+b$ subtract 11 from both sides

$-11=b\to b=-11$

Answer: $\boxed{y=\dfrac{3}{2}x-11}$

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Step-by-step explanation:

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What is the value of x? ​

What is the value of x?