Determine the property, definition, postulate, or theorem that best
justifies each statement.
Given: AC = BD; AB = 3x - 2; CD = 10

A
B
с
D

If AB = 3x - 2 and CD = 10, then 3x-2=10

Answer:

h(4) = (4)3+2(4) = 20

Step-by-step explanation:

First you input 4 wherever there is an x then you restated the equation with 4 substituted in as x next solve

The value of h(4) is 72.

Important information:

Substitute [tex]x=4[/tex] in the given function.

[tex]h(4)=(4)^3+2(4)[/tex]

[tex]h(4)=64+8[/tex]

[tex]h(4)=72[/tex]

Therefore, the value of h(4) is 72.

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Answer:

Step-by-step explanation:

Function of relationship:

y- intercept:

x - intercept:

Answer:

d i think

Step-by-step explanation:

Answer:

Step-by-step explanation:

correct me if I'm wrong

Answer:

y = 4

Step-by-step explanation:

6y - (4y - 12) = 20

Distribute;

6y - 4y + 12 = 20

2y + 12 = 20

Subtract 12 from both sides;

2y = 8

Divide both sides by 2;

y = 4

Answer:

1325 feet below the surface

Answer:

a) Beatriz: [tex]y = 3\cdot x[/tex], Jesús: [tex]z = 5\cdot x[/tex], b) [tex]y+z = 32[/tex], c) El símbolo (edad de Rocío) queda representado en el siguiente factor común: [tex](3+5)\cdot x = 32[/tex], d) Rocío tiene 4 años de edad, Beatriz tiene 12 años de edad y Jesús tiene 20 años de edad.

Step-by-step explanation:

a) Sean [tex]x[/tex], [tex]y[/tex], [tex]z[/tex] las edades de Rocío, Beatriz y Jesús. Después de una lectura cuidadosa al enunciado:

(i) Beatriz tiene el triple de la edad de Rocío.

[tex]y = 3\cdot x[/tex] (Ec. 1)

(ii) Jesús tiene cinco veces más años que Rocío.

[tex]z = 5\cdot x[/tex] (Ec. 2)

b) Seguimos la misma estrategia del punto a):

Entre Beatriz y Jesús suman 32 años.

[tex]y+z = 32[/tex] (Ec. 3)

c) Sustituimos [tex]y[/tex], [tex]z[/tex] en (Ec. 3):

[tex]3\cdot x + 5\cdot x = 32[/tex]

[tex](3+5)\cdot x = 32[/tex]

[tex]8\cdot x = 32[/tex]

[tex]8\cdot x = 8\cdot 4[/tex]

[tex]x = 4[/tex]

El símbolo (edad de Rocío) queda representado en el siguiente factor común: [tex](3+5)\cdot x = 32[/tex]

d) Tal como desarrollamos en el punto c), Rocío tiene 4 años de edad.

Las edades de Beatriz y Jesús se obtiene por sustitución directa:

Beatriz

[tex]y = 3\cdot x[/tex]

[tex]y = 3\cdot 4[/tex]

[tex]y = 12[/tex]

Beatriz tiene 12 años de edad.

Jesús

[tex]z = 5\cdot x[/tex]

[tex]z = 5\cdot 4[/tex]

[tex]z = 20[/tex]

Jesús tiene 20 años de edad.

Answer:

x = - 27

Step-by-step explanation:

Hi !

- 0.45x + 0.15 = 8.1

- (0.45x - 0.15) = 8.1

- (0.30x) = 8.1

- 0.3x = 8.1

x = 8.1 : (- 0.3)

x = 81/10 : (-3/10)

x = 81/10 × (-10/3)

x = - 81/3

x = - 27

Good luck !

Step-by-step explanation:

use -2 to open d bracket

4(-7c+5d)+5-10-18d

use 4 to open d bracket

-28c+20d+5-10-18d

re arrange

-28c+20d-18d+5-10

-28c+2d-5

note: - doesnt start an equation so rearrange

=+2d-28c-5

Answer:

x = 145.2

Step-by-step explanation:

Convert 15.3 ft to inches = 183.6

Exquation:

183.6 - x = 38.4

-x = 38.4 - 183.6

-x = -145.2

x = 145.2

Answer:

160

Step-by-step explanation:

This is the answer because:

1) Whenever there are two negative factors, the answer will be a positive

- x - = +

Hope this helps!

Answer:

The rate of Trip 2 is 5  km/h.

The time of Trip 1 is 0.9-x hours.

Step-by-step explanation:

right on edg 2020

Answer:

You are definitely correct! It is 81w^2.

Step-by-step explanation:

Answer:

one solution

Step-by-step explanation:

they have different slopes and are linear

Answer:

The real answer is D 2,611.05

Step-by-step explanation: You can trust a me ok?

Answer:

d

Step-by-step explanation:

Answer:

The answer is two over twenty five

The solution of the given expression [tex](64)^\frac{1}{2} \times 10^{-2}[/tex] will be 2 / 25.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is [tex](64)^\frac{1}{2} \times 10^{-2}[/tex] . The solution of the expression is done as below:-

E = [tex](64)^\frac{1}{2} \times 10^{-2}[/tex]

E = √64 x 10⁻²

E = 8 x 10⁻²

E = 8 / 10²

E = 8 / 100

E = 2 / 25

Therefore, the solution of the given expression [tex](64)^\frac{1}{2} \times 10^{-2}[/tex] will be 2 / 25.

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Answer:

6000 millilitres

Step-by-step explanation:

there is 1000 millilitres per litre.

Answer: C

Step-by-step explanation: x > 1

Answer:

A =5

Step-by-step explanation:

From the Pythagorean theorem

Answer:

The perimeter is 30ft

Step-by-step explanation:

[tex]a^2+12^2=13^2\\a^2=13^2-12^2\\\sqrt{a^2}=\sqrt{25}\\a=5\\\\5+12+13=30[/tex]

Answer:

x =  4

Step-by-step explanation:

y = 2x , y = x^2 -4x +8

=> 2x = x^2 - 4x + 8

6x - x^2 - 8 = 0

(-x^2 + 2.3x - 3^2 ) -1 = 0

( -x-3)^2 - 1= 0

(-x-3)^2 = -1

(-x-3)^2 = (-1)^2

-x - 3 = 1

x =  4

Answer:

[tex]t = 1.71825[/tex]

Step-by-step explanation:

Given

[tex]h(t) = -16t^2 + 24t + 6[/tex]

Required

When will the coin hit the ground

When the coin hits the ground, [tex]h(t) = 0[/tex]

The expression [tex]h(t) = -16t^2 + 24t + 6[/tex] becomes

[tex]0 = -16t^2 + 24t + 6[/tex]

Multiply through by -1

[tex]16t^2 - 24t - 6 = 0[/tex]

Solve using quadratic formula

[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]

Where

[tex]a = 16[/tex]

[tex]b = -24[/tex]

[tex]c = -6[/tex]

[tex]t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]t = \frac{-(-24)\±\sqrt{(-24)^2 - 4 *16 * -6}}{2 * 16}[/tex]

[tex]t = \frac{24\±\sqrt{576 +384}}{32}[/tex]

[tex]t = \frac{24\±\sqrt{960}}{32}[/tex]

[tex]t = \frac{24\±30.984}{32}[/tex]

Split

[tex]t = \frac{24+30.984}{32}[/tex] or [tex]t = \frac{24-30.984}{32}[/tex]

[tex]t = \frac{54.984}{32}[/tex] or [tex]t = \frac{-6.984}{32}[/tex]

[tex]t = 1.71825[/tex] or [tex]t = -0.21825[/tex]

But time can't be negative;

So:

Time to hit the ground is 1.71825 seconds

Answer:

- 19

Step-by-step explanation:

Step 1:

3m - 10    Equation

Step 2:

3 ( - 3 ) - 10  Substitute - 3 for m

Step 3:

- 9 - 10   Multiply

Answer:

- 19   Subtract

Hope This Helps :)

Hi there!

[tex]\large\boxed{-19}[/tex]

3m - 10

Find m = -3

Substitute -3 for "m":

3(-3) - 10

-9 - 10 = -19

Answer:

x = 3

Step-by-step explanation:

4x - 5 = 2x + 1

Subtract 2x from both sides;

2x - 5 = 1

Add 5 to both sides;

2x = 6

Divide both sides by 2;

x = 3

Answer:

X-3

Step-by-step explanation:

Answer:

she sold 15 candy bars every hour

Step-by-step explanation:

Answer:

140.25°

Step-by-step explanation:

Angle 1 and Angle (3x+12) share the exact same angle since they are congruent. Knowing this, you can replace angle 1 with (3x+12). Math tells you that supplementary angles are two angles that add up to 180 degrees.

(x-3) and (3x+12) are supplementary. Since they are supplementary and math tells me that two angles add up to 180. I can add (x-3) and (3x+12). But to finish the equation, both of these angles must equal 180.

Your equation should look something like this (it should look like this):

[tex](x-3)+(3x+12)=180[/tex]

From there you can simplify and isolate the x value to solve for x. Your x value is 42.75. But, we are not done here.

Now that we know x, which is just a placeholder, we must replace the placeholder with its actual numerical value (42.75).

3(42.75) + 12 = 140.25.

To make sure both angles equal up to 180.

Replace all x's with 42.75 and you will see that they equal 180.

[tex](3(42.75)+12)+(42.75 - 3) = 180[/tex]

[tex]180=180[/tex]✅

Answer:

C. 126

Step-by-step explanation:

I just did this quick check and this was the correct answer. Glad to help.

(The answer placement may be different depending on the test but the answer is still 126)

Answer:

g^2 + 4

I literally do not know how to explain it. I solved this problem with the clues like sum and squared. I looked at where these words were located.

The algebraic expression for the sum of g squared and four is g^2 + 4.

The given statement is "the sum of g squared and four".

We need to write an algebraic expression for this statement.

- Sum = add = +

- Difference = minus = -

- Divide = ÷

- Squared = [tex]x^{2}[/tex]

- cube = [tex]x^{3}[/tex]

- Square root = [tex]\sqrt{x}[/tex]

We have,

"the sum of g squared and four".

Let us separate it into two parts:

g squared - [tex]g^{2}[/tex]

Four = 4

Sum = +

So we have,

Sum of g squared and four = [tex]g^{2}[/tex] + 4.

Thus the algebraic expression for the sum of g squared and four is  [tex]g^{2}[/tex] + 4.

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Answer:

219 miles.

Step-by-step explanation:

Jim paid $186.77 in total.

The base fee was $15.95

$186.77 - $15.95 = $170.82

The base fee was taken care of, the rest of the money was spent on the number of miles he drove.

For each mile he needs to pay 78 cents (Aka 0.78).

$170.82 ÷ 0.78 = 219

Jim drove 219 miles.

Answer:

x=26

Step-by-step explanation:

exterior angles theorem meaning they're equal to each other.

5x+7=8x-71

add 71 to 7

5x+78=8x

subtract 5x from 8x

78=3x

divide 78 and 3

x=26

to check your work plug 26 into each equation:

5(26)+7= 137°

8(26)-71= 137°

because they're the same you know that x must equal 26

hope this helps!❤