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Ronch [10]
3 years ago
6

Find the m<1 and m<2. Justify each answer.

Mathematics
2 answers:
torisob [31]3 years ago
7 0

m <  1 = 95 degrees ( alternate angles theorem of parallel lines)

m < 2 = 180 - 50 = 130 degrees ( internal angles theorem of parallel lines).

Alex_Xolod [135]3 years ago
6 0

Answer:

\angle 1 = 225 \°\\\angle 2 = 130\°

Step-by-step explanation:

In this problem we have to find the measure of angle 1 and angle 2.

So, we know by definition that all internal angles of a parallelogram must sum 360°. That is,

50\° + \angle 1 + \angle CBA + \angle 2 = 360\°

However, by sum of angles, and by supplementary angles, we have

\angle CBA + 95\° = 180\°\\\angle CBA = 180\° - 95\°\\\angle CBA = 85\°

Replacing this angle into the first expression, we have

50\° + \angle 1 + \angle CBA + \angle 2 = 360\°\\50\° + \angle 1 + 85\° + \angle 2 = 360\°\\\angle 1 + \angle 2 = 360\° - 85\° - 50\°\\\angle 1 + \angle 2 = 225\°

We know by given that AB \parallel DC, that means BC and AD are transversals.

So, by alternate interior angles, we have

\angle 1 = 95\°

That means,

\angle 1 + \angle 2 = 225\°\\95\° + \angle 2 = 225\°\\\angle 2 = 225\° - 95\°\\\angle 2 = 130\°

Therefore,

\angle 1 = 225 \°\\\angle 2 = 130\°

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Y+2x=2 find the slope of every line perpendicular to the graph of the equation
REY [17]

Answer:

m_{perpendicular} = \frac{1}{2}

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

y + 2x = 2 ( subtract 2x from both sides )

y = - 2x + 2 ← in slope- intercept form

with slope m = - 2

given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-2} = \frac{1}{2}

7 0
2 years ago
Amy ate 7 candies out of a chocolate box. In other words she ate 28%of the candies. What is the total number of candies in the b
kari74 [83]
Answer : 35



You have to do 28 plus 7






And u would get ur answer
6 0
3 years ago
Read 2 more answers
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algol [13]

Answer:

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Step-by-step explanation:

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. So 25 times 3 = 75

7 0
3 years ago
Read 2 more answers
Will someone please explain how to do
MrRissso [65]
Distribute the negative first -7c+18-2>0
simplify -7c+16>0
subtract 16 both sides -7c>-16
divide by -1
MOST IMPORTANT PART
when you divide both sides by -1, you HAVE to change the greater/less than sign
so -7c>-16 becomes 7c<16
now divide by 7
c<16/7
I hope you don't yet want to graph it, because graphing is something that's a bit harder to show here

6 0
3 years ago
The measure of a central angle is 3x + 18 and the measure of its arc is 147 which equation can you use to find the value of x
steposvetlana [31]

3x + 18 = 147

3x = 129

x = 43

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3 years ago
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