7.7z-2=6.7z-2 the solution is

Answers

Answer 1

Answer: I hope this helps you

7,7z-6,7z=-2+2

1z=0

z=0

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Select the correct product. (2x + 9)(x + 1) 2x2 + 11x + 9 3x2 + 11x + 9 2x2 - 7x + 9 2x2 + 11x + 10

Answers

the answer is 2x^2+ 11x+9

Answer:

The answer is 2x^2+ 11x+9

Step-by-step explanation:

Find the difference. (2x^2 - 3x + 7) - (x^2 + 6x - 12)A) A) x^2 + 3x - 5

B) x^2 - 3x + 19

C) x^2 - 6x + 12

D) x^2 - 9x + 19

Answers

Its D.

(2x^2 - 3x + 7) - (x^2 + 6x - 12)

Distribute the negative over the second parentheses:-

= (2x^2 - 3x + 7) - x^2 - 6x + 12

= x^2 - 9x + 19 (answer)

Find the value of z. Then find the value of the interior angles

Answers

Step-by-step explanation:

$\because \angle JKM$ is the exterior angle of $\triangle KLM$

$\therefore$ by remote interior angle theorem of a triangle, we have:

$m\angle L + m\angle M = m\angle JKL \n\n(18z + 3)\degree + (5z - 3)\degree = 161\degree \n\n(18z + 3+5z - 3)\degree = 161\degree \n\n(23z)\degree = 161\degree \n\n23z = 161\n\nz = (161)/(23) \n\n\huge \red {\boxed {z = 7}} \n\n\because \measuredangle L = (18z +3)\degree \n\n\therefore \measuredangle L = (18* 7+3)\degree \n\n\therefore \measuredangle L = (126+3)\degree \n\n\huge\purple {\boxed {\therefore \measuredangle L = 129\degree}} \n\n\because \measuredangle M = (5z - 3)\degree \n\n\therefore \measuredangle M= (5* 7-3)\degree \n\n\therefore \measuredangle M = (35-3)\degree \n\n\huge\orange {\boxed {\therefore \measuredangle M = 32\degree}} \n\n$

For what values of the variables must ABCD be a parallelogram?

Answers

okfirst things first. In all parallelograms, you now that opposite anglesare numerically equal to each other and that the sum off all fourangles must add up to 360.

Therefore based off the picture, angles B and D are equal to each other, and A and C are equal to each other.

(2x-10) = (y+20) B = D
y=2x-30

Now B = 2x -10 and D = 2x-30+20 = 2x-10

Now A = C

Since A = 2x+ 10, we can assume C = 2x + 10

Now we need to find the value of x

so our angle A, B, C, and D add up to 360 so the "master equation" is:

(2x - 10) + (2x - 30 + 20) + (2x + 10) + (2x + 10) = 360
2(2x -10) + 2(2x + 10) = 360
4x - 20 + 4x + 20 = 360
8x = 360
x = 45

Now that we know what x is, we can go back to the angles B and D

remember B = 2x - 10 and D = y + 20

and earlier we stated that y=2x-30
therefore y = 2(45) - 30
Y = 60

Now if you wanted to double check, all you have to do is plug in the xand y values into the equations and add up all the angles together andthey should add up to 360.

I know I kinda went into too many details, but I'd rather explain itinto too much detail rather than too few details and shortcuts that youwouldn't be able to follow and understand.

I hope this was helpful =D

Final answer:

ABCD is a parallelogram if either both pairs of opposite sides are parallel, both pairs of opposite sides are equal, or one pair of opposite sides is both parallel and equal.

Explanation:

In mathematics, a quadrilateral ABCD is considered a parallelogram if it meets one of these three conditions:

Both pairs of opposite sides are parallel (AB || DC and AD || BC).
Both pairs of opposite sides are equal (AB = DC and AD = BC).
One pair of opposite sides is both parallel and equal (AB = DC and AB || DC).

So, the values of the variables you have in your problem have to satisfy at least one of these conditions to make ABCD a parallelogram.

Learn more about Parallelogram here:

brainly.com/question/31342904

#SPJ3

A straight river flows east at a speed of 11 mi/h. A boater starts at the south shore of the river and wants to arrive at a point on the north shore of the river directly opposite the starting point. The motorboat has a speed of 22 mi/h relative to the water. In what direction should the boat be headed?

Answers

The direction should the boat be headed is 60 degrees north 30 degrees west and this can be determined by using the trigonometric functions.

Given :

A straight river flows east at a speed of 11 mi/h.
A boater starts at the south shore of the river and wants to arrive at a point on the north shore of the river directly opposite the starting point.
The motorboat has a speed of 22 mi/h relative to the water.

The following steps can be used in order to determine the direction should the boat be headed:

Step 1 - The trigonometric function can be used in order to determine the direction should the boat be headed.

Step 2 - The mathematicalexpression of the cosine function is given by:

$\rm cos\theta=(base)/(hypotenuse)$

where $\theta$ is the direction should the boat be headed.

Step 3 - Now, substitute the known values in the above formula.

$\rm cos\theta=(11)/(22)$

Step 4 - Simplify the above expression.

$\rm cos\theta=(1)/(2)$

$\theta = 60^\circ$

Step 5 - So, the angle from the west axis is given by:

$90-60=30^\circ$

The direction should the boat be headed is 60 degrees north 30 degrees west.

For more information, refer to the link given below:

brainly.com/question/11709244

Answer:

N 30 degree W

Step-by-step explanation:

We are given that

Speed of river flows=11 mi/h(East)

Speed of motorboat relative to water=22mi/h

We have to find the direction in which the boat should be headed.

Let direction of the boat = $\theta$

We know that

$Cos\theta=(Base)/(hypotenuse)$

Using the formula

$Cos\theta=(11)/(22)=(1)/(2)$

$Cos\theta=Cos60^(\circ)$

Because $Cos60^(\circ)=(1)/(2)$

$\theta=60^(\circ)$

Angle from the west axis= $90-60=30^(\circ)$ W

Hence, the direction of boat should be headed in N 30 degree W

A two-column proof uses a visual representation of the logical flow of steps needed to reach a conclusion.

contains a table with a logical series of statements and reasons that reach a conclusion.

contains a set of sentences explaining the steps needed to reach a conclusion.

uses inductive reasoning to prove a statement.

Answers

The correct answer is:

contains a table with a logical series of statements and reasons that reach a conclusion.

Explanation:

In a two-column proof, our two columns are "statements" and "reasons."

In the "statements" column, we write the different steps that take us from our given to the statement we are trying to prove.

In the "reasons" column, we write the theorems, postulates, and definitions that we need to justify the steps taken in the "statements" column.

Answer:

the answer is B contains a table with a logical series of statements and reasons that reach a conclusion.

Step-by-step explanation:

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