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2 years ago

Adjacent angles and linear pairs can you help?

Mathematics

1 answer:

Natalija [7]2 years ago

8 0

Answer:

Step-by-step explanation:

x + 13 + 4x + 2 = 180

Add the like terms,

5x + 15 = 180

Subtract 15 form both sides

5x + 15 - 15 = 180 -15

5x = 165

Divide both sides by 5

5x/5 = 16/5

x = 33

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Please answer the question now in two minutes

oksian1 [2.3K]

Answer:

Coordinates of point P is $(-14,3)$ .

Step-by-step explanation:

Given that mid point of line segment $\overline {PQ}$ is at M(-9, 8.5).

Q is at (-4, 14).

Let coordinate of P be $(x,y)$ .

Using the ratio, we can say the following:

The coordinates of mid point $(X,Y)$ of a line with endpoints $(x_1, y_1)$ and $(x_2, y_2)$ is given as:

$X=\dfrac{(x_1+ x_2)}{2}$

$Y=\dfrac{(y_1+ y_2)}{2}$

Using the formula for above given dimensions:

$-9 =\dfrac{x+(-4)}{2}\\\Rightarrow x = -18+4 = -14$

$8.5=\dfrac{(14+ y)}{2}\\\Rightarrow y = 17-14 =3$

So, the coordinates of point P are $(-14,3)$ .

6 0

2 years ago

Let r and s be the roots of x^2 - 6x + 2 = 0. Find (r - s)^2.

Sphinxa [80]

Answer: $(r-s)^{2} = 28$

Step-by-step explanation:

$x^{2} -6x+9=-2+9$
$(x-3)^{2}=7$
$(x-3)= -\sqrt{7}$ or $\sqrt{7}$ <-- there's no plus/minus sign.

$(x-3) = -\sqrt{7}$
$x = 3 -\sqrt{7}$ <-- root.

$(x-3) = \sqrt{7}$
$x = 3+\sqrt{7}$ <-- root.

$[(3-\sqrt{7})-(3+\sqrt{7})]^{2}$
$(3-\sqrt{7} -3 - \sqrt{7})^{2}$ <-- don't forget to distribute the negative.
$(-2\sqrt{7})^{2}$
$(4)(7)$
$28$

4 0

2 years ago

Help pls 6th grade math i will give brainliest

SCORPION-xisa [38]

Answer:

G because y+y+y is the exact same as 3 y

5 0

2 years ago

Read 2 more answers

Jodie Meeks's Free Throws During the 2015-16 NBA season, Jodie Meeks of the Detroit Pistons had a free throw shooting percentage

Damm [24]

Answer:

0.8973

Step-by-step explanation:

Relevant data provided in the question as per the question below:

Free throw shooting percentage = 0.906

Free throws = 6

At least = 5

Based on the above information, the probability is

Let us assume the X signifies the number of free throws

So, Then X ≈ Bin (n = 6, p = 0.906)

$P = (X = x) = $\sum\limits_{x}^6 (0.906)^x (1 - 0.906)^{6-x}, x = 0,1,2,3,.., 6$

Now

The Required probability = P(X ≥ 5) = P(X = 5) + P(X = 6)

$= $\sum\limits_{5}^6 (0.906)^5 (1 - 0.906)^{6-5} + $\sum\limits_{6}^6 (0.906)^6 (1 - 0.906)^{6-6}$

= 0.8973

8 0

2 years ago

The area of the parallelogram is 273 square units. What is the height of the parallelogram? ____units

Alex17521 [72]

Answer:

h = 13 units²

Step-by-step explanation:

The way to find the area of a parallelogram is to multiply the length of one side (21) and multiply it by the height:

A = l*h

We know the area and the length:

273 = 21*h

Now we solve for height.

273/21 = (21*h)/21

273/21 = h

273/21 = 13

h = 13 units²

6 0

2 years ago