Explain how to determine if a number is a solution of the equation. n + 6 = 33 for n = 27

Ok I have to make multiple questions since the max amount of attachments is 5 but this is the first one.

Pie

Answer:

All answers are down below!

Step-by-step explanation:

PAGE 1

22.) -10x - 2y = 20 (add 10x on both sides)

-2y = 10x + 20 (divide by -2 on both sides)

y = -5x - 10

Neither because perpendicular lines have opposite reciprocal and opposite sign. This equation only has opposite sign. It's not parallel because parallel lines have the same slope, and this equation doesn't.

23.) <1 = 138 b/c 180 -42

<2 = 42 b/c vertical to the angle measured 42

<3 = 138 b/c it's vertical to <1 and vertical angles have the same measure

<4 = 42 b/c it is an alternate interior angle to <2

<5 = 90 b/c vertical to <8

<6 = 48 b/c <4 + <5 + <6 = 180 and 42 + 90 + 48 = 180

<7 = 42 b/c it is vertical to <4 which also has a measure of 42

<8 = 90 b/c it is same side interior to <10 which has a measure of 90 degrees

<9 = 48 b/c <7 + <8 = 132 and 180 -132 = 48

<10 = 90 b/c it is a linear pair with the right angle and a right angle equals 90 degrees

PAGE 2

1.) PQ, QR, and NR

2.) ML, NP, and RQ

3.) KL, JM, JN, and KP

4.) corresponding angles

5.) alternate interior angles

6.) alternate exterior angles

7.) interior consecutive angles or same side interior angles

PAGE 3

9.) Q'(5, -4) R'(5, -2) S'(1, -3) because (x, y) ----> (-x, y)

10.) J'(3, 5) I'(1, 1) H'(3, 1) G'(4, 5) b/c (x,y) -----> (x, -y)

11.) E'(1, -4) F'(0, -2) G'(-3, -5) b/c (x,y) -----> (-x, y)

12.) J'(1, 2) K'(-1, -3) L'(4, -2) M'(3, 3) b/c (x,y) -----> (x, -y)

13.) Y'(-4, 1) X'(-3, 4) W'(-4, 5) b/c (x,y) -----> (y, x)

14.) J'(-3, 3) I'(5, 2) H'(-5, 1) G'(0, -1) b/c (x,y) ----> (-y, -x)

15.) H'(-2, 5) G'(2, 2) F'(3, 4) b/c (x,y) ------> (x, -y)

16.) U'(-2, -1) V'(0, 2) W'(-3, 4) b/c (x,y) ------> (y, x)

PAGE 4

17.) 3x - 43 = 80 (add 43 on both sides) --> 3x = 123 (divide by 3 on both sides) --> x = 41

18.) 8x - 6 = 90 (add 6 on both sides) ---> 8x = 96 (divide by 8 on both sides) --> x = 12

19.) 15x - 5 + 11x + 3 = 180 (collect like terms) --> 26x -2 = 180 (add 2 on both sides) ---> 26x = 182 (divide by 26 on both sides) --> x = 7

20.) To find slope use y2-y1/x2-x1

PLUG IN

2 - -5/ -1 - -5 =

7/4 since parallel lines have the same slope line b would also have a slope of 7/4.

21.) x + 3y = 2 (subtract x on both sides) ---> 3y = -x + 2 (divide by 3 on both sides)

y = -1/3x + 2/3. The lines are perpendicular because their slopes have opposite reciprocals and opposite signs.

PAGE 5

8.) 4x - 9 + 75 = 180 (collect like terms) --> 4x + 66 = 180 (subtract 66 on both sides) -----> 4x = 114 (divide by 4 on both sides) x = 28.5

9.) 7x + 2 = 65 (subtract 2 on both sides) --> 7x = 63 (divide by 7 on both sides) --> x =9

10.) Corresponding angles

11.) <7

12.) consecutive interior angles or same side interior angles

13.) <9

14.) Line C

15.) c || d

16.) a || b

Hope this helps you!!

4 0

3 years ago

There are 24 female performers in a dance recital. The ratio of men to women is 3:4. How many men are there in the dance recital

Verdich [7]

There would be 32 men in the dance recital.
24/3 = 8
8 times 4 = 32
24/32 = 3/4

4 0

3 years ago

Read 2 more answers

Answer plzzz (ignore thisssssssssssssssss)

LenKa [72]

Answer:

P- number?

Step-by-step explanation:

I don't know but it's probably wrong :(

3 0

2 years ago

The roots of 2x^2-3x=4 are a and b. Find the simplest quadratic equation which has roots 1/a and 1/b

Tju [1.3M]

Find the roots

solve
we use hmm, completing the suare
2(x²-1.5x)=4
divide both sides by 2
x²-1.5x=2
take 1/2 of linear coeiftn and square it
-1.5/2=-0.75, (-0.75)²=0.5625
add that to both sides
x²-1.5x+0.5625=2+0.5625
factor perfect squaer trinomial
(x-0.75)²=2.5625
square root both sides, remember to take positive and negative square roots
x-0.75=+/-√2.5625
add 0.75 to both sides
x=0.75+/-√2.5625

the roots are x=0.75+√2.5625 and x=0.75-√2.5625

1/a and 1/b
1/(0.75+√2.5625) and 1/(0.75-√2.5625)

if the roots of a quadratic equation are r1 and r2 then it factors to
(x-r1)(x-r2)
so then we can factor our equation to be
$(x-\frac{1}{0.75+\sqrt{2.5625}})(x-\frac{1}{0.75-\sqrt{2.5625}})$

if we were to try and expand it, we would get
x²+0.75x-0.5
that's the simpliest equation with roots 1/a and 1/b where a and b are he roots of 2x²-3x=4

x²+0.75x-0.5 is answer

8 0

3 years ago

A square has a perimeter of 40 m what is the length of each side

zubka84 [21]

Answer:

10m

Step-by-step explanation:

Perimeter means adding up all of the sides of a shape.

One property of a square is that all lengths of a square are the same.

We also know squares have 4 sides.

Lets set up an expression to solve the length for each side with variable S representing the length of a side:

4 * S = 40

Divide each side by 4:

S = 10

Therefore, each side of the square has a length 10m

7 0

1 year ago