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juin [17]
2 years ago
11

What is the value of x?

Mathematics
2 answers:
shtirl [24]2 years ago
4 0

Answer:

x = 30°

Step-by-step explanation:

As the angle of 85° measure and the angle of (3x-5)° are vertical opposite angles, the measure of both the angles will be equal so...

(3x-5)° = 85°

3x = 85 + 5

3x = 90

x = 90/3

x = 30

So x is 30°

Let's recheck.

3x-5

(3 × 30) - 5

90 - 5

85°

Hence, the value of x = 30°

madam [21]2 years ago
3 0

To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

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Write the equation of the line of best fit using the slope-intercept formula $y = mx + b$. Show all your work, including the poi
Dennis_Churaev [7]

Answer:

y=\frac{5}{7}x+\frac{135}{7}

Step-by-step explanation:

You only need two points on a line to find the equation for that line.

We are going to use 2 points that cross that line or at least come close to. You don't have to use the green points... just any point on the line will work.  You might have to approximate a little.

I see ~(67.5,67.5) and ~(64,65).

Now once you have your points, we need to find the slope.

You may use \frac{y_2-y_1}{x_2-x_1} where (x_1,y_1) \text{ and } (x_2,y_2) are points on the line.

Or you can line up the points vertically and subtract then put 2nd difference over 1st difference.

Like this:

(  64  ,   65  )

-( 67.5, 67.5 )

--------------------

-3.5        -2.5

So the slope is -2.5/-3.5=2.5/3.5=25/35=5/7.

Now use point-slope form to find the equation:

y-y_1=m(x-x_1) where m is the slope and (x_1,y_1) is a point on the line.

y-65=\frac{5}{7}(x-64)

Distribute:

y-65=\frac{5}{7}x-\frac{5}{7}\cdot 64

Simplify:

y-65=\frac{5}{7}x-\frac{320}{7}

Add 65 on both sides:

y=\frac{5}{7}x-\frac{320}{7}+65

Simplify:

y=\frac{5}{7}x+\frac{135}{7}

6 0
3 years ago
9<br> 60°<br> A) x = 18, y=9V6<br> B) x=9V3, y=9V3<br> C) x = 18, y=9V3<br> D) x =9V3, y=9V6
lesantik [10]

Answer:

C. x = 18, y = 9\sqrt{3}

Step-by-step explanation:

In a 30-60-90 triangle,

longer leg = \sqrt{3} (shorter leg)

hypontenuse = 2(shorter leg)

In your case, the shorter leg = 9

therefore, y = 9\sqrt{3}    and x = 2(9) = 18

7 0
3 years ago
Translate triangle p by the vector
ICE Princess25 [194]

Answer:

I need the whole question..

Step-by-step explanation:

Have a nice day!

7 0
3 years ago
The length of a log of wood is 90 in. How many cuts do you need to make to obtain
Ilia_Sergeevich [38]

The greatest number of pieces will be 12 where each piece will have a different length and the length of each piece is a whole number, in inches and the remaining piece length will be 12 in(90 - 78).

<h3>What is a sequence?</h3>

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

The total length of the wood = 90 in

We have to cut it into the greatest number of pieces, where each piece will have a different length and the length of each piece is a whole number, in inches.

We can cut it like:

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The above shows the arithmetic sequence,

The sum of the n natural number is given by:

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After solving, we will get a quadratic equation:

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After solving, we will get:

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Thus, the greatest number of pieces will be 12 where each piece will have a different length and the length of each piece is a whole number, in inches and the remaining piece length will be 12 in(90 - 78).

Learn more about the sequence here:

brainly.com/question/21961097

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6 0
2 years ago
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Answer:

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Step-by-step explanation:

6 0
3 years ago
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