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valentinak56 [21]
3 years ago
11

The measure of an angle is 106°. what is the measure of a supplementary angle?

Mathematics
1 answer:
NNADVOKAT [17]3 years ago
7 0
180-106 is your answer
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Please help me solve this answer it all for me please
mestny [16]

Answer:

The slopes are

m1=\dfrac{2}{5}, m2=-\dfrac{5}{2}

Therefore, the equations are equations of <u>  Perpendicular Lines .</u>

Step-by-step explanation:

Given:

y=\dfrac{2}{5}\times x + 1    ......................Equation ( 1 )

5x+2y=-4\\\\\therefore y = \dfrac{-5}{2}\times x-2   ..............Equation ( 2 )

To Find:

Slope of equation 1 = ?

Slope of equation 2 = ?

Solution:

On comparing with slope point form

y=mx+c

Where,

m = Slope

c = y-intercept

We get

Step 1.

Slope of equation 1 = m1 = \dfrac{2}{5}

Step 2.

Slope of equation 1 = m2 = -\dfrac{5}{2}

Step 3.

Product of Slopes = m1 × m2 = \dfrac{2}{5}\times -\dfrac{5}{2}=-1

Product of Slopes = m1 × m2 = -1

Which is the condition for Perpendicular Lines

The slopes are

m1=\dfrac{2}{5},m2=-\dfrac{5}{2}

Therefore, the equations are equations of <u>  Perpendicular Lines . </u>

4 0
3 years ago
Find three consecutive odd integers such that the sum of the smallest and four times the largest is 61. Please list the numbers
Kipish [7]

Answer:

9,11,13

Step-by-step explanation:

Given: sum of the smallest integer and four times the largest integer out of three consecutive odd integers is 61

To list: numbers from least to greatest

Solution:

Let the three consecutive odd integers be x,x+2,x+4.

According to question,

x+4(x+4)=61\\x+4x+16=61\\5x=61-16\\5x=45\\x=9

So, the integers are x=9,x+2=9+2=11,x+4=9+4=13

Numbers from least to the greatest: 9,11,13

7 0
3 years ago
A man travels 4 ⅓ miles in 2 ½ hours. what is his speed in miles per hour?
natulia [17]
Approximately 1.7 miles per hour
3 0
3 years ago
Solve A = 1/2bh, for b
Kitty [74]

Answer:

b=2A/h

Step-by-step explanation:

First I throw everything else to another side with A by dividing them

(A = b)/2h

then I get

b=2A/h

7 0
3 years ago
Read 2 more answers
A quality control inspector tested 235 CDs and found 8 defective
antiseptic1488 [7]

Answer:

235 C D s =

8 =

Step-by-step explanation:

7 0
3 years ago
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