If two angles add up to 180 how many angles are there?

Answer:

[tex] x_{1} = - \sqrt{2} \: .\: x_{2} = - 1 \: . \: x_{3} = 1 \: . \: x_{4} = \sqrt{2} [/tex]

Step-by-step explanation:

x⁴ - 3x² + 2 = 0

x^2×2 - 3x² + 2 = 0

(x²)² - 3x² + 2 = 0

t² - 3t + 2 = 0

t = 1, t = 2

x² = 1, x² = 2

x = -1, x = 1

x = - square root 2, x = square root 2

[tex] x_{1} = - \sqrt{2} \: .\: x_{2} = - 1 \: . \: x_{3} = 1 \: . \: x_{4} = \sqrt{2} [/tex]

Answer:34359738368

Step-by-step explanation: 2 to the 35th power is basically 2 x 2 35 times. You can solve it on a caculator by typing in 2 and pushing the button that allows you to enter 35 (which is the exponent, or the little number) The button will usually have an x with a little y at the top right corner

Answer:

DG = 7z - 5

Step-by-step explanation:

In order to find DG, you add DE and GE.

Answer:

18 since you have 13nd 3 that equal

Answer:

im pretty sure it is 2 and 8

Step-by-step explanation:

Answer: y≥2

Step-by-step explanation:

Step-by-step explanation:

[tex]2y \geqslant 4[/tex]

[tex]y \geqslant \frac{4}{2} [/tex]

[tex]y \geqslant 2[/tex]

Answer:

60mph

Step-by-step explanation:

2s - 30 = 1.5s

2s - 1.5s = 30

.5s = 30

s = 60 mph is car B's speed

Answer:

x=81

z=99

y=68

Step-by-step explanation:

63+36=99

180-99=81

x=81

Angles in a triangle sum to 180

180-81=99

z=99

Angles on a line sum to 180

99+13=112

180-112=68

y=68

Angles in a triangle sum to 180

Answer:

173.5

Step-by-step explanation:

The answer is 173.5

To solve this type of equation we first have to find the unit rate, in this case, the unit rate is dollars every hour, in order to find this we have to divide 86 by 4 as shown below

[tex]86/4=21.5[/tex]

Therefore the unit rate is 21.5$ every hour so in order to find how much money she was paid after 9 hours we have to multiply 21.5 by 9, which is shown below

[tex]9x21.5=173.5[/tex]

Thus, that is how much money Lin will be paid after 9 hours of work.

Hope this Helps!

Answer:

Where are the fractions?

Step-by-step explanation:

There's 3/4, 9/12, 27/36, etc

Answer:

3/4

Step-by-step explanation:

First you would take 75/100 and than simplify that down so you get 3/4

Answer:

(a^6)^3 / (a^5)^2 = a^8

Step-by-step explanation:

step 1: multiply the exponents that are on the outside of the parenthesis to the exponent inside the parenthesis

ex: a^6 * ^3 / a^5 * ^2 = a^18 / a^10

step 2: subtract the exponents

ex: a^18 - ^10 = a^8

Answer:

[tex]n = 18 \\ [/tex]

Step-by-step explanation:

[tex] \frac{1}{3} n = 6 \\ n = 6 \div \frac{1}{3} \\ n = 6 \times 3 \\ n = 18 \\ [/tex]

Answer:

5/12

Step-by-step explanation:

It goes up 5 and over 12.

Answer:-6

Step-by-step explanation:

X=-6

3 and -3 cancel out.

Answer:

-6

Step-by-step explanation:

The positives and negatives added cancel eachother out.

-6+3=-3

-3+-3=-6

Answer:

48 cents

Step-by-step explanation:

Answer:

8x + 10 = AC

Step-by-step explanation:

AB + BC = AC

6x + 1 + 2x + 9 = AC

8x + 10 = AC

Answer:

15.25 hours

Step-by-step explanation:

her pay per hour is $27.2

414.80÷27.2=15.25

Answer:

y=[tex]-\frac{3}{2}x-5[/tex]

Step-by-step explanation:

Use the point slope formula

[tex]y-y_1=m(x-x_1)[/tex]

y-1=[tex]-\frac{3}{2}[/tex](x-4)

Multiply -3/2 by (x-4) which equals -3/2x-6

Move the 1 by adding to both sides

The gives us y=[tex]-\frac{3}{2}x-5[/tex]

Answer:

8 ounces

Step-by-step explanation:

16oz/lb

16*5= 80oz of cornstarch in bucket

4oz * 18students = 72oz

80-72= 8 oz remaining

The amount of cornstarch left is 8 ounce.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Each student get = 4 ounce of cornstarch

Total number of student = 18 students

And, Total amount of cornstarch = 5 pound

Here,

Since, Amount of total cornstarch to student = Each student get × Total number of student

⇒ Amount of total cornstarch to student = 4 × 18

⇒ Amount of total cornstarch to student = 72 ounce

Since, 1 pound = 16 ounces

So, We get;

⇒ Total amount of cornstarch = 5 × 16

⇒ Total amount of cornstarch = 80 ounces

Thus, Amount of cornstarch left = 80 - 72

⇒ Amount of cornstarch left = 8 ounces

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ5

Answer:  To isolate the variable in ¹/₄ x multiply by 4 or divide by 1

Step-by-step explanation:

              Let                  ¹/₄ x = a

multiply by 4:          4 (¹/₄) x  = 4 a

                                      1  x  = 4 a

divide by 1:                    ¹/₁ x  = ⁴/₁ a

                                          x  = 4a    [x is now isolated]

To isolate the variable in 1/4x multiply by 4 or divide by 1/4

From the question, we have the following parameters that can be used in our computation:

Expression = 1/4x

To isolate the variable in 1/4x, we multiply by 4

So, we have

Expression = 1/4x * 4

Expression = x

OR

To isolate the variable in 1/4x, we divide by 1/4

Expression = 1/4x / 1/4

Expression = x

Read more about expressions at

https://brainly.com/question/30492964

#SPJ3

Answer:

18 green fish and there are 12 yellow fish

[tex]\\ \sf\longmapsto \sqrt{108x^2y^3}-\sqrt{12x^2y^3}+x\sqrt{75y^3}[/tex]

[tex]\\ \sf\longmapsto \sqrt{2\times 2\times 3\times 3\times 3\times x\times x\times y\times y\times y}-\sqrt{2\times 2\times 3\times x\times x\times y\times y\times y}+\sqrt{5\times 5\times 3\times y\times y\times y}[/tex]

[tex]\\ \sf\longmapsto 6\sqrt{3}xy\sqrt{y}-2\sqrt{3}xy\sqrt{y}+5\sqrt{3}xy\sqrt{y}[/tex]

[tex]\\ \sf\longmapsto \sqrt{3}xy\sqrt{y}(6-2+5)[/tex]

[tex]\\ \sf\longmapsto 9\sqrt{3}xy\sqrt{y}[/tex]

Answer:

[tex]{ \rm{ \sqrt{108 {x}^{2} {y}^{3} } - \sqrt{12 {x}^{2} {y}^{3} } + x \sqrt{75 {y}^{3} } }} \\ \\ = { \rm{\sqrt{(36 \times 3) {x}^{2} {y}^{3} } - \sqrt{(4 \times 3) {x}^{2} {y}^{3} } + x \sqrt{(3 \times 25)} {y}^{3} }} \\ \\ = { \rm{ \sqrt{ {x}^{2} {y}^{3} } ( \sqrt{36 \times 3} - \sqrt{4 \times 3} + \sqrt{3 \times 25} }}) \\ \\ { = \rm{x {y}^{ \frac{3}{2} } (6 \sqrt{3} - 2 \sqrt{3} + 5 \sqrt{3} ) }} \\ \\ = { \rm{x {y}^{ \frac{3}{2} } \{(6 - 2 + 5) \sqrt{3} \} }} \\ \\ = { \rm{x {y}^{ \frac{3}{2} } \times 9 \sqrt{3} }} \\ \\ = { \boxed{ \rm{9x \sqrt{3 {y}^{3} } }}}[/tex]

The answer is C

The best answer is C

Answer:

a11 = 1

a12 = -1

a21 = -1.5

a13 = 2

Step-by-step explanation:

reason 1: given

reason 2: alternate interior angles

reason 3: alternate interior angles

reason 4: common (reflexive property)

reason 5: aas

Answer:

6.2

Step-by-step explanation:

[tex] \frac{7.2 + 7.6 + x}{3} = 7.0 \\ \frac{14.8 + x}{3} = 7.0 \\ 14.8 + x = 21 \\ x = 21 - 14.8 \\ x = 6.2[/tex]

Step-by-step explanation:

If X represents the length of the side of a cube, the formula for the surface area of the cube, S =?

solution :

the area of each face of the cube = side × side

= X × X = X²

the cube has 6 similar faces, so the surface area of the cube could be:

S = 6 × X² = 6X²

Answer:

Surface Area = 6 × S²

Step-by-step explanation:

the surface area fo the cube :

if lenght = S, the surface area fo the cube :

SA = 6 × lenght × lenght

SA = 6 × S × S

SA = 6 × S²