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3 years ago

The angles x and y are complementary. Angle x is supplementary to a 128 degrees angle. What is the measures of angles x and y?

Mathematics

1 answer:

Talja [164]3 years ago

3 0

180 - 128 = 52
X = 52
90 - 52 = 38
Y = 38

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Find the centroid of the triangle with these vertices: P (-1,7), Q (9,5), and R (4,3).

Mumz [18]

Answer:

The coordinates of the centroid are:

$O\:=\:\left(4,\:5\right)\:\:$

The diagram is also attached below.

Step-by-step explanation:

Given the vertices

P (-1, 7)

Q (9, 5)

R (4, 3)

We know that the intersection of medians brings the centroid of the triangle.

The centroid of a triangle is given by

$O\:=\:\left(\frac{P_x+Q_x+R_x}{3},\:\frac{P_y+Q_y+R_y}{3}\:\right)$

In this example,

$P_x=-1,\:P_y=7$

$Qx=9,\:Q_y=5$

$Rx=4,\:R_y=3$

substituting in the formula

$O\:=\:\left(\frac{-1+9+4}{3},\:\frac{7+5+3}{3}\:\right)\:\:$

$O\:=\:\left(\frac{12}{3},\:\frac{15}{3}\:\right)\:\:$

$O\:=\:\left(4,\:5\right)\:\:$

Therefore, the coordinates of the centroid are:

$O\:=\:\left(4,\:5\right)\:\:$

The diagram is also attached below.

6 0

3 years ago

What is the value of z in the equation 3z − 7 = 14? 3 4 7 21

STALIN [3.7K]

3z - 7 = 14 |add 7 to both sides

3z = 21 |divide both sides by 3

z = 7

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4 years ago

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Stels [109]

Answer:

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3 years ago

What is (x - 4) + (x + 9) + ( 2x) + (3x -7) + 4

cricket20 [7]

Answer:

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Step-by-step explanation:

Add x+x+2x+3x to get 7 xs or 7x. Then add -4+9-7+4 to get 2. Put 7x and 2 together to get 7x+2.

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3 years ago

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ser-zykov [4K]

Answer:

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-1/6a +3. 1/3a-5

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3 years ago

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