For the diagram below, which equation is the correct use of the distance formula?

Answer:

Step-by-step explanation:

b + 70  = 180   {Supplementary angles}

b = 180 - 70

b = 110

a +b = 180   {Linear pair}

a + 110 = 180

a = 180 - 110

a = 70

d + 60 = 180  {linear pair}

d = 180 - 60

d = 120

c + d + 60 = 360   {one point angle}

c + 120 + 60 = 360

c + 180 = 360

c = 360 - 180

c = 180

f + 60 = 180   {Supplementary angles}

f = 180 - 60

f = 120

Answer:

29.5cm^2

Step-by-step explanation:

3 × 4 = 12

4 × 2.5 = 10

3 × 2.5 = 7.5

12+10+7.5=29.5

answer

71-17=54

82-28=54

93-39=54

60-06=54

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

6 + h + 8 = 24

h + 6 + 8 = 24

h + 14 = 24

h = 24 - 14

h = 10

Answer:

hey hope the given pic are helpful(sorry for my bad writing)

Answer:

x=2; the extraneous root x=42.

All the details are in the attached picture, the answer is marked with red colour.

The radical equation 2 + 2x - 3. √(x + 7) has a solution set z = 2 and an extraneous root = -7.

To solve the equation, we can start by simplifying the radical. We get:

2 + 2x - 3√(x + 7) = 0

We can then move the constant term to the other side of the equation. We get:

2x - 3√(x + 7) = -2

We can then multiply both sides of the equation by -1. We get:

3√(x + 7) - 2x = 2

We can then square both sides of the equation. We get:

9(x + 7) - 12x * √(x + 7) + 4x² = 4

We can then rearrange the terms on the left-hand side of the equation. We get:

4x² - 12x * √(x + 7) + 5 = 0

We can then factor the expression on the left-hand side of the equation. We get:

(2x - 1)(2x - 5) = 0

This gives us two solutions, x = 1/2 and x = 5.

The solution x = 1/2 is a valid solution because it does not make the radical expression undefined. However, the solution x = 5 is an extraneous root because it does make the radical expression undefined.

Therefore, the solution set z = 2 and the extraneous root = -7.

To learn more about equation here:

https://brainly.com/question/10724260

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Answer:

41.34

Step-by-step explanation:

80/1.94

= 41.34

Answer:

1.5 * 1.5 = 2.25 sq miles

Step-by-step explanation:

1.5 * 1.5 = 2.25 sq miles

Answer:

Value of expression = -3 / 4

Step-by-step explanation:

Given:

(12x + 8) + 4 = 3

Find:

Value of expression

Computation:

Given expression

(12x + 8) + 4 = 3

Step 1: Use Distributive property

12x + 8 + 4 = 3.

Step 2: By adding like terms.

12x + 12 = 3

Step 3: Transfer

12x = 3 - 12

Step 4: Subtract

12x = -9

Step 4: Divide both sides by 12

12x / 12 = -9 / 12

x = -3 / 4

Value of expression = -3 / 4

Respuesta:

Área del rectángulo = 0.144m²

Perímetro del rectángulo = 1,52 m²

Explicación paso a paso:

Dado que el área del rectángulo = Largo * Ancho

Convertir cm a m

Los 36cm = los 0.36m

Los 40cm = los 0.4m

Sustituir;

Área del rectángulo = 0.36 * 0.4

Área del rectángulo = 0.144m²

Perímetro del rectángulo = 2 (L + W)

Perímetro del rectángulo = 2 (0.36 + 0.4)

Perímetro del rectángulo = 2 (0,76)

Perímetro del rectángulo = 1,52 m²

Answer:

So the answer is 30%

Step-by-step explanation:

1. For 50 = 15 increase euros

2. For 100 = 15/50 x 100 = 30 increase in euros

3. 30/100 = 30%

OR....

1. Ten percent of 50 is 5.

2. 5x3= 15(increase in euros)

3. 10 percent three times which is equal to 30%.

Answer:

1. m∠CGB=120

3. m∠AGD=90

5. m∠CGD=150

2. m∠BGE=60

4. m∠DGE=30

6. m∠AGE=120

Step-by-step explanation:

Sorry that they are out of order.

Answer:

1. m∠CGB=120°

2.m∠BGE=60°

3.m∠AGD=90°

4.m∠DGE=30°

5.m∠CGD=150°

6.m∠AGE=120°

Step-by-step explanation:

My work is scatterbrained so I'm not gonna be any help if I give an explanation.

Answer:

0,-4

-2.65,2.62

2.65,2.62

Step-by-step explanation:

[tex]0^2 = 0\\-2.65^2 =7.0225\\ 2.65^2 =7.0225[/tex]

[tex]y = x^2 - 4[/tex]

-4, 3.0225

[tex]-4^2 = 16\\3.0225^2=9.1355[/tex]

Answer:

1/8 of an hour

Step-by-step explanation:

3/4 x 1/6 = 3/24 = 1/8

Hope this helps!

Answer:

16.67% of your day is spent in math class.

Step-by-step explanation:

The total would be 100% and then since you have 6 periods we divide 100 by 6 to get 16.67%. So 16.67% of your day is spent in math class.

Answer:

25

Step-by-step explanation:

6ab of 2a ÷ 12 × 12ab + 14a - a

= 6ab * 2a ÷ 12 × 12ab + 14a - a

= 12a²b ÷ 144ab + 13a

= 12*a*a*b / 144*a*b + 13*a

= a/12 + 13*a

= 1/12 + 13

= 1/25

Answer:

5 is 14cm . 14 is 2pie r. 6 is 120

Answer:

Question 5 = 14

Question 6 = 120

I hope this helped!

Answer:

x = 3/9

= 1/3

Step-by-step explanation:

i did this assignment and got it right

Answer:

the answer is 96°

Step-by-step explanation:

it is an isosceles triangle as it's 2 sides are equal.

for an isosceles triangle, the angles made by the equal sides with the third side are equal.

and the sum of all angles in a triangle = 180°

42 + 42 + x = 180

x = 180 - 84

X = 96°

Answer:

The work done is - 200 μJ.

Step-by-step explanation:

The potential difference between two points M and N is UMN = 100 V. A charge q = -2μC moves from M to N, the work of the electric force is:

Potential difference, V = 100 V

Charge, q = - 2 μC

The potential difference is defined as the amount of work done in bringing a unit positive test charge from one point to another in the electric field.

So, W = q V

W = - 2 μC x 100 V = - 200 μJ

Answer:

yes

Step-by-step explanation:

Answer:

2.56 kgs

Step-by-step explanation:

76.8kg ÷ 30 days = 2.56 kgs

Amount of sugar used - 76.8 kg

No. Of Days in Month of April - 30 days

∴ Sugar used each day is = 76.8 ÷ 30

[tex]76.8 \div 30 \\ \\ = \frac{76.8}{30} \\ \\ = \frac{768}{30 \times 10} \\ \\ = \frac{ \cancel{768}}{ \cancel{30} \times 10} \fbox{cancelling by 3} \\ \\ = \frac{256}{10 \times 10} \\ \\ = \frac{256}{100} \\ \\ = 2.56 \: kg[/tex]

Answer:

C

Step-by-step explanation:

Answer:

1241.99

Step-by-step explanation:

1241.993 grams is the original answer but rounded to the nearest hundred is 1241.99

Answer:

x = 5 and y = 3

Step-by-step explanation:

5x - 3y = 16

3x - y = 12 multiply second equation by (-3)

(-3)*(3x-y) = 12*(-3) (remember we need to multiply both sides of the equation)

-9x + 3y = -36 now subtract this from the first equation

5x - 3y -9x + 3y = 16 - 36 (-3y will eliminate +3y)

-4x = -20 and 4x = 20 divide both sides by 4

x = 5 if 3x - y = 12 then 3*5 - y = 12

15 - y = 12

-y = -3 and y = 3

Answer:

8 cm and 9 cm

Step-by-step explanation:

Hi there!

The sum of the lengths of two sides of a triangle must always be greater than the length of the third side.

5 cm and 8 cm ⇒ 5+8=13; not greater than 13

6 cm and 7 cm ⇒ 6+7=13; not greater than 13

7 cm and 2 cm ⇒ 7+2=9; not greater than 13

8 cm and 9 cm ⇒ 8+9=17; greater than 13

Therefore, the last set of two sides is possible for the lengths of the the other two sides of this triangle.

I hope this helps!

Answer:

B.

Step-by-step explanation:

Since the numbers in the root is all the same, lets say [tex]\sqrt{2}[/tex] is a variable.

7x[tex]\sqrt{2}[/tex] - 4[tex]\sqrt{2}[/tex] + x[tex]\sqrt{2}[/tex]

Group with like terms:

7x[tex]\sqrt{2}[/tex] + x[tex]\sqrt{2}[/tex] - 4[tex]\sqrt{2}[/tex]

Combine like terms:

8x[tex]\sqrt{2}[/tex] - 4[tex]\sqrt{2}[/tex]

There you have it! Since all the square roots are the same thing, we can treat them like variables.

the answer is B..................