the temperature of the fish tank must be atleast 68F but no more than 77F

Answer:

  a) m = 60°, n = 30°

  b) m = 20°, n = 45°

Step-by-step explanation:

The top and bottom horizontal lines are parallel, so angle m is an alternate interior angle congruent to the interior angle(s) of the equilateral triangle. Those angles are all 60°.

Angle n is the complement of angle m, so is 90°-60° = 30°

  m = 60°, n = 30°

__

The base angles of the isosceles right triangle are n = 45°. (This should be a memorized fact. It is computed as (180° -90°)/2 = 45°.)

The base angles of the isosceles acute triangle are (180°-50°)/2 = 65°. Angle m is the difference between one of these and angle n.

  m = 65° -45° = 20°

  m = 20°, n = 45°

_____

Additional comment

The sum of angles of a triangle is 180°. The "base" angles of an isosceles triangle (one with two equal sides) are equal. If 'a' is the third angle, and 'b' are the base angles, you have ...

  a + 2b = 180°

  2b = 180° -a

  b = (180° -a)/2 . . . . . . the relation used above

Answer:

-5x^5 + 7x^2 - 8x

Step-by-step explanation:

Add like terms:

3x^5 - 8x^5 = -5x^5

4x^2 + 3x^2 = 7x^2

Answer:

x = 15°

Step-by-step explanation:

These angles form a linear

4x - 17 + 137° = 180°

4x - 17 = 43°

4x = 60°

x = 15°

[tex]2(2) +x =4\\\\\implies 4 +x =4\\\\\implies 4 +x -4 = 4-4\\\\\implies x = 0[/tex]

Answer:

x = 0

Solve solution:

Question:

2(2) + x = 4

Multiply:

2 x 2 + x 4

Cancel equal terms:

4 + x = 4

Answer: x = 0

Answer:

Below in bold.

Step-by-step explanation:

y=x^2−4x−12

Factored form: y = (x - 6)(x + 2)

x-intercepts: (-2, 0) and (6, 0).

Axis of symmetry is found by converting to vertex form:

y = x^2−4x−12

y = (x - 2)^2 - 4 - 12

y = (x - 2)^2 - 16.

So axis of symmetry is x = 2.

Vertex is at (2, -16)

Domain is all Real Numbers.

Range is y ≥ -16.

Answer:

right

Step-by-step explanation:

y=2x+1

9=2(4)+1

9=8+1

9=9

Answer:

B save your time its the same answer

Step-by-step explanation:

Good Luck!

Answer:

Step-by-step explanation:

fff

Answer:

| x | = − 5

Step-by-step explanation:

Let's solve your equation step-by-step.

| x | = − 5

Solve Absolute Value.

| x | = − 5

No solutions. (Absolute value cannot be less than 0.)

No solutions.

I hope this helps :)

Answer:

| x | = -5

Step-by-step explanation:

Let's think about absolute value, the number we stick in side of these magical type "brackets" (so to speak) is always going to end up being positive because absolute value is the distance of a number from 0. Therefore, we know that because "x" cannot be negative in this scenario, the absolute value of x cannot be equal to -5 and therefore would produce a graph with no solution!

Answer: It is 0.73 my friend. Very good work.

Step-by-step explanation:

Answer:

5/4

Step-by-step explanation:

Answer:

x = 3

Step-by-step explanation:

7(x + 4) - 7 = 48 - 2x ← distribute parenthesis and simplify left side

7x + 28 - 7 = 48 - 2x

7x + 21 = 48 - 2x ( add 2x to both sides )

9x + 21 = 48 ( subtract 21 from both sides )

9x = 27 ( divide both sides by 9 )

x = 3

Answer: the answer is x=3

Step-by-step explanation:

step 1: distribute the 7 with the parenthesis we get 7x+28-7=48-2x

step 2: subtract 28-7 which gives us 21 now the equation is 7x+21=48-2x

step 3: for the other side which is the 48-2x put the x first so the equation will look something 7x+21=-2x+48

step 4: subtract 21 on both sides 48-21=27 and add 2x on both sides 7x+2x=9x

step 5: 9x=27 now divide both sides by 9 so 27/9= 3

Answer:

  C.  (2, 7)

Step-by-step explanation:

It is fairly easy to try the offered points in the equations to see which works.

  A. (x, y) = (-2, -1); -4(-2) +2(-1) = 8 -2 = 6; 9(-2) -3(-1) = -18+3 = -15 ≠ -3

__

  B. (x, y) = (-1, -2); -4(-1) +2(-2) = 4 -4 = 0 ≠ 6

__

  C. (x, y) = (2, 7); -4(2) +2(7) = -8 +14 = 6; 9(2) -3(7) = 18 -21 = -3

(2, 7) is a solution to the system of equations.

_____

If you want to solve the equations, it can work to put each in standard form by dividing out the common factor.

  2x -y = -3

  3x -y = -1

Subtracting the first from the second gives ...

  (3x -y) -(2x -y) = (-1) -(-3)

  x = 2 . . . . . matches choice C

Answer:

2 b is you answer

Step-by-step explanation:

Answer:

Joe can only use 3GB of Data. Bill is 21 .

[tex]21 + 9 + 30[/tex]

[tex]1gb \: \: = 3[/tex]

Step-by-step explanation:

Answer:

6%

Step-by-step explanation:

3/50 x 100/1% = 3/2 x4/1% = 12/2%=6%

Answer: (x,y) → (x - 2, y - 8)

Step-by-step explanation:

Two units to the left would mean decreasing value on the x-axis, making it -2.

Eight units down would, again, mean decreasing value on the y-axis, making it -8.

Therefore, (x,y) → (x - 2, y - 8) is the correct translation rule.

I hope this helps :)

I get it, Geometry can be pretty difficult sometimes... I'm in it right now lol

Answer:

yes, absolutely. specifically it's a horizontal line at 6.

Answer: 3/25

Step-by-step explanation:

Answer:

Table B

Step-by-step explanation:

In order for a set of data to represent a function, there must be a pattern. In Table B , you can see that when you add or subtract 3 from the original input -8 (to get -5 or -11), that the values for -5 and -11 are matching. That signals there is a function.

==================================================

Explanation:

We'll need these trig ratios

Refer to the diagram below.

sin(B) = r = r/1 which tells us that the side opposite angle B is r units long. The hypotenuse is 1.

cos(B) = s = s/1 means the adjacent side to angle B is of length s

sides r and s are the two legs of the right triangle.

----------

From that diagram, we can then say:

sin(angle) = opposite/hypotenuse

sin(C) = s/1

sin(C) = s

This is identical to cos(B). We can say cos(B) = sin(C)

Also, we can say:

cos(angle) = adjacent/hypotenuse

cos(C) = r/1

cos(C) = r

So cos(C) = sin(B)

This works because B+C = 90

----------

So,

sin(C) - cos(C) = cos(B) - sin(B) = s - r

Answer:

2/3

Step-by-step explanation:

1/(3/4)=4/3(4/3)2.5

10 cups/=3.333

Answer:

[tex](x-\frac{1}{4})^{2} \geq \frac{-39}{16}[/tex]

Step-by-step explanation:

Rewrite into standard form:

[tex]2x^{2} -x+5 \geq 0[/tex]

Complete the square:

[tex]2(x-\frac{1}{4} )^{2} + \frac{39}{8} \geq 0[/tex]

Subtract [tex]\frac{39}{8}[/tex] from both sides:

[tex]2(x-\frac{1}{4})^{2} \geq \frac{-39}{8}[/tex]

Divide both sides by 2:

[tex](x-\frac{1}{4})^{2} \geq \frac{-39}{\frac{8}{2}}[/tex]

Simplify:

[tex](x-\frac{1}{4})^{2} \geq \frac{-39}{16}[/tex]

Answer:

Step-by-step explanation:

69

Step-by-step explanation:

A. 4+(x-y)

B. 6+xy

C.( x.x.).y

hope it helps.

stay safe healthy and happy.

Answer:

A. 4+(X•Y)

B. 6×xy

C. (X•X)y

Here is my answer. I hope it is helpful.

Answer:

true

Step-by-step explanation:

make this is helpful for you