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max2010maxim [7]
3 years ago
8

M<3 is (3x + 4) and m<5 is (2x +11)

Mathematics
2 answers:
butalik [34]3 years ago
8 0

Answer:

Part 1) Option C. Same side interior angles

Part 2) Option A. (3x+4)+(2x+11)=180\°

Part 3) Option B. m

Step-by-step explanation:

Part 1) we know that

If p and q are parallel

then

m<3 and m<5 are consecutive interior angles or Same side interior angles

and

m

Part 2) we know that

m -----> by consecutive interior angles (supplementary angles)

we have that

m

m

so

substitute

(3x+4)+(2x+11)=180\°

Part 3) Find the measure of angle 5

we know that

(3x+4)+(2x+11)=180\°

Solve for x

5x+15\°=180\°

5x=180\°-15\°

x=165\°/5\°=33\°

m

substitute the value of x

m

Alekssandra [29.7K]3 years ago
7 0

Answer: C, A, B

Step-by-step explanation:

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Stels [109]
Solution (1) using angles of sectors:

Area of A = pi r^2  x 90/360 = 4.9

Area of B = pi r^2 x 270/360 = 14.2 


Check:  Area of A/B = 4.9/14.72 = 1/3 (as given)

Solution (2) using given info:

Area of B + Area of A = area of circle

Area of B + 1/3 Area of B =  3.14 * (2.5)^2 = 19.625

4/3 Area of B = 19.625

Area of B = 3/4 * 19.625

Area of B = 14.72

Area of A = 1/3 * 14.72 = 4.9

There is more solutions to this problem , like polar coordinate integration , and so on. for more just request. 



8 0
3 years ago
What is an equation of the line that passes through the point ( 6 , − 1 ) (6,−1) and is parallel to the line x − 3 y = 3 x−3y=3?
Nataly [62]

Answer:

y = 1

Step-by-step explanation:

Passes through (6,-1)(6,-1)

Find the slope (m)

m=(y2 - y1) / (x2 - x1)

m=(-1 - (-1) ) / (6-6)

m= 0

Parallel to x - 3y = 3

-3y = -x +3

y = 1/3 x -1

Equation of the line equation is y - y1 = m ( x - x1 )

y - ( -1 ) = 0 ( x - 6 )

y + 1 = 0

y = 1

4 0
3 years ago
Write the recurring decimal 0.5 as a fraction in its simplest form.​
sergejj [24]

Answer:

0.5×2/2=1/2 is the required fraction.

8 0
3 years ago
Read 2 more answers
What is 23,718 rounded to the nearest ten thousand
Allushta [10]
23,718<span>

The 2 is in the ten thousands place. There is a 3 in the thousands place. Since 3 is less than 5, 2 stays the same and everything after it turns into 0s.

20,000

Answer: 20,000</span>
8 0
3 years ago
2. y = 5x2 + 10x – 3
Mice21 [21]

Answer:

x= -7/10 or x= -0.7 , y= 7

Step-by-step explanation:

Find the x-intercept:                  Find the y-intercept:

y= 5×2+10x-3                                y= 5×2+10x-3  

0=10+10x-3                                    y= 5×2+10×0-3

0=7+10x                                         y= 7

-10x=7

x=-7/10

8 0
2 years ago
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