Which similarity postulate or theorem can be used to verify that the two
triangles shown below are similar?

A. SAS theorem
B. SSS theorem
C. AA postulate
D. Similarity cannot be determined.

Answer:

[tex]x\le \:-1[/tex]

Step-by-step explanation:

[tex]3\left(x-1\right)\le \frac{1}{2}\left(x+1\right)-6[/tex]

[tex]3x-3\le \:-\frac{11}{2}+\frac{1}{2}x[/tex]

[tex]3x\le \:-\frac{5}{2}+\frac{1}{2}x\\[/tex]

[tex]\frac{5}{2}x\le \:-\frac{5}{2}[/tex]

[tex]5x\le \:-5[/tex]

[tex]x\le \:-1[/tex]

x = -1

3(-2) ≤ ½(0) - 6

-6 ≤ 0 - 6

-6 ≤ -6

This is true.

x = -2

3(-3) ≤ ½(-1) - 6

-9 ≤ -½ - 6

-9 ≤ [tex]-\frac{13}{2}[/tex]

This is also true.

Therefore, x ≤ -1.

Answer:

y = 91

Step-by-step explanation:

y = 5² + 10(5) + 16

y = 25 + 50 + 16

y = 91

Answer:

El coseno del ángulo esta dado por:

[tex]cos(\theta)=\frac{CA}{H}[/tex]

Step-by-step explanation:

Si tenemos un triángulo recatángulo, el coseno del ángulo está dado por:

[tex]cos(\theta)=\frac{CA}{H}[/tex]

Donde:

Espero te haya sido de ayuda!

Answer:

V = 0.375 units³

Step-by-step explanation:

The volume of a rectangular prism is V = lwh.

Where l is the length, w is the width, and h is the height.

Given 1 unit(s) for the length, ¾ unit(s) for the width, and ½ unit(s) for the height.

V = lwh

V = (1)(¾)(½) units

V = (⅜) units

V = 0.375 units

Answer:

7/8

Step-by-step explanation:

Answer:

2 whole pieces

5/24 feet left

Step-by-step explanation:

divide 5/6 by 5/16 = 2 2/3 pieces

so there are 2 whole pieces and 2/3 small piece.

The 2/3 small short equals to 5/16 x 2/3 = 5/24 ft

Answer:

Mean = 7

Step-by-step explanation:

Given the following data;

Number of games = 8

Scores = 5, 11, 9, 9, 4, 5, 6, 7

We would sum all the scores together to get a total score.

Total scores = 5 + 11 + 9 + 9 + 4 + 5 + 6 + 7 = 56

Now, to find the mean;

[tex] Mean = \frac {total \; scores}{number \; of \; games} [/tex]

Mean = 56/8

Mean = 7

Answer:

7 is the mean score.

Step-by-step explanation:

Now we have to,

→ find the required mean score.

The given scores are,

→ 5, 11, 9, 9, 4, 5, 6, 7

→ Numbers = 8

Then the mean score will be,

→ (5 + 11 + 9 + 9 + 4 + 5 + 6 + 7)/8

→ 56/8 = 7

Hence, the mean score is 7.

Answer:

y - 4 = (9/4)(x - 4)

Step-by-step explanation:

Here we're given the slope (9/4) of a line and one point (4, 4) on the line.  The easiest form of the equation of a straight line to use here is the point-slope form:

y - k = m(x - h).

Here h = 4 and k = 4; the slope is m = 9/4.

Thus, the desired equation is

y - 4 = (9/4)(x - 4)

Answer:

[tex]{ \tt{ = 20\% \times 2}} \\ = 0.4 \: kg \\ { \tt{ = 400 \: grams}}[/tex]

Answer:

400 g

Step-by-step explanation:

0.20 x 2 kg = 0.4 kg

0.4 kg x (1000g / 1kg) = 400 g

Answer:

X=5

x=y2+9

x2=y

x2=y2+16

Step-by-step explanation:

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

Answer:

d

Step-by-step explanation:

its the correct answer

Hope this helps:)

Step-by-step explanation:

the correct answer is

a. { ½(c-a), ½(d-b) }

________________

General formula

So

Here

for (a,b) and (c,d)

Midpoint

Option A

Answer:

a=3/2   b=-1 1/2

Step-by-step explanation:

Answer:

3,750

Step-by-step explanation:

2500+1250+625+625=5000

2500/5000=.50 or 50%

7500X.50=3750

We have a linear function y=kx+b and we know that                                                       [tex]\displaystyle\bf \left \{ {{5*1+c=2} \atop {5p+c=-2}} \right.=>\left \{ {{c=-3} \atop {5p+c=-2}} \right. => 5p-3=-2 => p=\frac{1}{5}[/tex]                                       [tex]\displaystyle\bf Answer: \boxed{C) \quad p=\frac{1}{5} }[/tex]                            

Answer:

x = 7

Step-by-step explanation:

5x - 10 = 25

shift -10 to the other side then -10 become plus 10

5x = 25 + 10

now do addition in right hand side

5x = 35

shift 5 to right hand side . 5 divides 35 because in multiplication when u shift number or variables to other side it changes to division)

x = 35/5

x = 7

The solution to the equation 5x - 10 = 25 is x = 7.

To solve the equation 5x - 10 = 25, we want to isolate the variable 'x' on one side of the equation.

First, we can start by getting rid of the constant term on the left side of the equation. We do this by adding 10 to both sides:

5x - 10 + 10 = 25 + 10

This simplifies to:

5x = 35

Next, we want to isolate 'x' by dividing both sides of the equation by the coefficient of 'x', which is 5:

5x/5 = 35/5

This yields:

x = 7

Therefore, the solution to the equation 5x - 10 = 25 is x = 7. We can verify this by substituting x = 7 back into the original equation:

5(7) - 10 = 25

35 - 10 = 25

25 = 25

Since the equation holds true, we can conclude that x = 7 is the solution.

To learn more about the linear equation;

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Answer:

Para el CO₂ sabemos que:

densidad = 0,001976 g/cm³

Sabemos que:

densidad = masa/volumen

Entonces, si tenemos una masa de 28 g, podemos escribir:

volumen = masa/densidad

volumen = (28g)/(0,001976 g/cm³) = 14,170 cm^3

Para obtener la masa molar (es decir, la masa de un mol de esta sustancia) simplemente sumamos la masa de un mol de cada componente.

Carbono: tiene una masa molar de 12 g/mol

Oxígeno: tiene una masa molar de 16 g/mol (y tenemos dos oxígenos)

entonces la masa molar va a ser:

masa molar = 12g/mol + 2*16g/mol = 44 g/mol

Es decir, un mol de CO₂, pesa 44 gramos.

Answer:

285.214 cubic meters

Step-by-step explanation:

So I use this equation V=πr2h

All because this equation have a radius and so I put it in this form

V= π5.5^2 x 3

V=285

(I hope this help and if it’s wrong I am truly sorry)

The required volume of the given cylinder is 285.214 cubic meters. Option A is correct.

For a cylinder,
Height  = 3m
Radius = 5.5m
Volume = ?

Volume is defined as the ratio of the mass of an object to its density.

Here,
The volume of the cylinder is given as,
Volume = πr²h
Substitute the value in the equation,
Volume = 3.14×5.5²×3
volume = 285.214 cubic meters.

Thus, the required volume of the given cylinder is 285.214 cubic meters. Option A is correct.

Learn more about Volume here:

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Answer:

9(x + 2)

Step-by-step explanation:

3/5(x+30)

multiply fractions

3(15x + 30)/5

factor 3(15x + 30) = 45(x + 2)

divide the numbers

45(x + 2)/5

45/5=9

= 9(x + 2)

Answer:

9x + 18

Step-by-step explanation:

[tex]\frac{3}{5} ( 15x + 30 )[/tex]

9x + 18

Answer:

[tex]125 {n}^{3} {p}^{9} [/tex]

Answer:

Option D

Step-by-step explanation:

Given polynomial :-

=> 2x - 4x³ -7 + 6x²

Here the highest degree of variable is 3 ,

Therefore it is a cubic polynomial .

Answer:

$200

Step-by-step explanation:

Given :

Cost of blender + import duty = $240

Import duty = 20% of cost price

Let :

Cost of blender = x

Import duty = 20% of x = 0.2x

Therefore,

x + 0.2x = $240

1.2x = 240

x = 240 / 1.2

x = $200

Cost of blender = $200

Answer: $4.88

Explanation: $20.00-$5.36= $14.64

$14.64÷3= $4.88

Answer: y = 6x

Step-by-step explanation:

Since this is a direct proportion, we will introduce the constant of proportionality here and this will be:

y = kx

Since y = 30 and x= 5,

30 = 5 × k

30 = 5k

k = 30/5

k = 6

Therefore, the equation that connects y to x will be:

y = kx

y = 6x

The equation that connects y to x is y = 6x.

Answer:

(3,-5)

Step-by-step explanation:

We first cal ulate the distance

Answer:

(y ^2 ) (x ^2)

Step-by-step explanation: