Using the following diagram, which is the value of x ?

Mathematics

2 answers:

nadya68 [22]3 years ago

6 0

Answer:

Step-by-step explanation:

If you substitute the x values with 20 then the angles will add up to 180 on both sides. These angles are supplementary which means that they are suppose to add up to 180 degrees.

Elza [17]3 years ago

3 0

Answer:

B. x = 20

Step-by-step explanation:

angles on a straight line are supplementary

therefore, 6x+9 + 2x+11 = 180

so, 8x+20=180

8x = 160

x = 20

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Which scatterplot has a correlation coefficient closest to r = –1?

UNO [17]

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3 years ago

Read 2 more answers

Find the point that is 1/5 the way from A to B where<br> A(-7,4) and B(3, 10).

mestny [16]

Answer:

The coordinates of the point that is 1/5 the way from A to B is $(x,y) = (-5,\frac{26}{5})$

Step-by-step explanation:

Here, the given points are: A (-7,4) and B (3,10)

Let us assume the point M(x,y) on AB is such that

AM : AB = 1 : 5

⇒ AM : (AB - AM) = 1 : (5-1) = 1: 4

⇒ AM : MB = 1 : 4

Now, The Section Formula states the coordinates of point (x,y) on any line dividing the line in the ratio m1 : m2

$(x,y) = (\frac{m_2x_1+m_1x_2}{m_1+m_2} ,\frac{m_2y_1+m_1y_2}{m_1+m_2} )$

Here, in the given equation, m1: m2 = 1:4

So, the coordinates M(x,y) is given as:

$(x,y) = (\frac{(-7)(4) + 1 (3)}{1+ 4} ,\frac{4(4) + 1(10)}{1+4} )\\\implies (x,y) = (\frac{-28+3}{5} ,\frac{16+10}{5} ) = (\frac{-25}{5} ,\frac{26}{5} )\\\implies (x,y) = (-5,\frac{26}{5} )$