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elena-s [515]
10 months ago
10

Given that lines m and n are parallel and m<60, find the measures of the remaining angles m<3=?

Mathematics
1 answer:
grigory [225]10 months ago
6 0

When you have two parallel lines being cut by a transversal, you can use the next statements for the angles:

The measurement of the angles in green is the same (are congruents)

The measurement of the angles in blue is the same (are congruents)

An angle in green is a complementary angle with an angle in blue. (The addition of the two angles has to be 180º)

You know that:

m\angle2=60º

As the angle 3 is congruent with angle 2:

m\angle3=60º

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Minchanka [31]

Answer:

C. 5x^2 - 8x + 13

Step-by-step explanation:

3 0
3 years ago
Find the circumference of the circle 8.5cm
Vanyuwa [196]

Answer: The circumference of the circle is 53.38 cm.

Step-by-step explanation:

Circumference of the circle is the distance around the circle.

Formula used:

C = 2\pi r

Where,

C is circumference of circle

r is radius of circle

Given:

Radius of circle = 8.5 cm

Now putting all the given values in the above formula, we get:

C = 2\pi r\\C=2\times 3.14\times 8.5cm\\C=53.38cm

Therefore, the circumference of the circle is 53.38 cm.

8 0
2 years ago
HELP PLEASE
nordsb [41]

Answer:

<h3>perpendicular line:    y = -¹/₆ x + 4¹/₃ </h3><h3>  parallel line:              y = 6x - 45 </h3>

Step-by-step explanation:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇔    m₁×m₂ = -1

{Two lines are perpendicular if the product of theirs slopes is equal -1}

y = 6x - 7   ⇒   m₁=6

6×m₂ = -1        ⇒    m₂ = -¹/₆

 

The line y=-¹/₆ x+b passes through point (8, 3) so the equation:

3 = -¹/₆ ×8 + b must be true

3 = -⁴/₃ + b

b = 4¹/₃

Therefore equation in  slope-intercept form:

                                                     y = -¹/₆ x + 4¹/₃

y=m₁x+b₁   ║   y=m₂x+b₂   ⇔    m₁ = m₂

{Two lines are parallel if  their slopes are equal}

y = 6x - 7   ⇒   m₁=6   ⇒   m₂=6

The line y=6x+b passes through point (8, 3) so the equation:

3 = 6×8 + b must be true

3 = 48 + b

b = -45

Therefore equation in  slope-intercept form:

                                                     y = 6x - 45

7 0
3 years ago
What is the slope of the line?​
Eddi Din [679]

Answer:

-1

Step-by-step explanation:

Choose two point on that line such as (1,1) and (2,0)

Then use slope formula y-y/x-x

1-0/1-2 = 1/-1  =  -1

8 0
2 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7BW%7D%20%3D%202" id="TexFormula1" title="\sqrt[4]{W} = 2" alt="\sqrt[4]{W} = 2
solmaris [256]

Answer:

<h2>W = 16</h2>

Step-by-step explanation:

<h3>\sqrt[4]{W}  = 2 </h3>

To find W raise each of the sides of the equation to the power 4 to make W stand alone

That's

<h3>( { \sqrt[4]{W} })^{4}  =  {2}^{4}</h3>

We have

W = 2⁴

We have the final answer as

<h3>W = 16</h3>

Hope this helps you

6 0
3 years ago
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