which one is right and which one is wrong? what are the errors made? ​

Answer:

x = 6

Step-by-step explanation:

because of the exterior angle theorem, instead of looking for the inner angle's amount, I can directly look for the other angle's amount.

so:

6x + 8 + 5x + 8 = 82

11x + 16 = 82

11x = 66

x = 6

[tex]\\ \sf\longmapsto 1\dfrac{2}{3}+2\dfrac{3}{4}+3\dfrac{5}{6}[/tex]

[tex]\\ \sf\longmapsto \dfrac{5}{3}+\dfrac{11}{4}+\dfrac{23}{6}[/tex]

[tex]\\ \sf\longmapsto \dfrac{20+33+46}{12}[/tex]

[tex]\\ \sf\longmapsto \dfrac{99}{12}[/tex]

[tex]\\ \sf\longmapsto 8.2ft[/tex]

Rope left

[tex]\\ \sf\longmapsto 10-8.2=1.8ft[/tex]

1¾ ft ≈ 1,75 ft

[tex] \sf 1\frac{2}{3} + 2 \frac{3}{4} + 3\frac{5}{6} [/tex]

[tex] \sf = \frac{3 + 2}{3} + \frac{4 \times 2 + 3}{4} + \frac{6 \times 3 + 5}{6} [/tex]

[tex] = \sf \frac{5}{3} + \frac{11}{4} + \frac{23}{6} [/tex]

[tex] \sf = \frac{5 \times 4 + 11 \times 3}{3 \times 4} + \frac{23}{6} [/tex]

[tex] = \sf \frac{20 +33 }{12} + \frac{23}{6} [/tex]

[tex] \sf = \frac{53}{12} + \frac{23}{6} [/tex]

[tex] = \sf \frac{53}{12} + \frac{23 \times 2}{6 \times 2} [/tex]

[tex] \sf = \frac{53}{12} + \frac{46}{12} [/tex]

[tex] \sf = \frac{99}{12} [/tex]

[tex] \sf = \frac{10}{1} - \frac{99}{12} [/tex]

[tex] \sf = \frac{10 \times 12 - 99}{12} [/tex]

[tex] = \sf \frac{120 - 99}{12} [/tex]

[tex] \sf = \frac{21}{12} [/tex]

= 1¾ ft ≈ 1,75 ft

Answer:

6

Step-by-step explanation:

[tex]\sf 4-(-2)=4+2=\bf{6}[/tex]

The answer is 6.

SOLUTION-

plotting on number line-

Know more about number line click here:

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#SPJ2

Answer:

-4

Step-by-step explanation:

you will have to replace the n with -7, that means,

(-7+5)2

when a number is beside a bracket, it automatically means multiply

you will have to solve the numbers in the bracket first

-7 +5 is equal to -2

then, -2 multiplied by 2 is equal to -4

Answer:

-4

Step-by-step explanation:

So lets substitute n with -7.

---->  (-7+5)2

Now let's solve this equation step by step....

---->. -2(2) ----> -4

I hope this helps:)

Answer:

26.66666666666667

Step-by-step explanation:

1200/45=

Answer:

1478 is the answer

have a fang-tastic day <3

Step-by-step explanation:

Answer:

1478

Step-by-step explanation:

lol have a good day/night!!

Scientific Notation is the way of writing a number or expressing them in a shorter or more compact way.

No, Taylor's resoning is incorrect because  2,800,000 = [tex]2.8 * 10^{6}[/tex]

From the question, we are given:

2,800,000 .

2,800,000 in scientific notation is  [tex]2.8 * 10^{6}[/tex].  

The reason the power is not to the negative 6 is that we are moving from the right-hand side to the left-hand side 6 times.

Therefore, Taylor's reasoning is incorrect.

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Answer:

∠ 5 = 84°

Step-by-step explanation:

Complementary angles sum to 90° , then

∠ 5 + ∠ 6 = 90° , that is

∠ 5 + 6° = 90° ( subtract 6° from both sides )

∠ 5 = 84°

Answer:

3/4

Step-by-step explanation:

Let the number of black pen be b, the green pen be g and the red pen be r.

Probability of a black pen being selected = 12g/16g = 3/4

Answer:

[tex]\sf\longmapsto \: 550[/tex]

Step-by-step explanation:

[tex]\sf\longmapsto \: 50 \times 11[/tex]

[tex]\sf\longmapsto \: 550[/tex]

Answer:

[tex]\sf 550[/tex]

Step-by-step explanation:

[tex]10 \times 5 = 50 \\ [/tex]

[tex]50 \times 11 = 550[/tex]

Answer:

Step-by-step explanation:

12

Answer:

34

Step-by-step explanation:

The left shapes' side is 10 and the other side is 7. The difference between these sides are 3.  Onto the next polygon we would do the same thing. So 37-3 = 4

Answer: it’s 3 hope it helps

Step-by-step explanation:

Answer:

1+1-1x1+2 = 3

Step-by-step explanation: 1 plus 1 is 2, 1 x 1 is 1, so you minus the 2, and it equals 3

Answer: x=2 y=4

Step-by-step explanation: elimination method attached below.

Answer:

104

Step-by-step explanation:

Alternate angles are equal.

Answer:

168

Step-by-step explanation:

first find out how many rows of squash there are

21 = x + 2x

21 = 3x

7 = x

then find out how many rows of tomatoes there are

7 × 2 = 14

if there are 12 plants per row, we can multiply

14 × 12 = 168

Gardener Gary planted 168 tomato plants

Let the rows of tomato be x and the rows of squash be y.

So, we have:

x + y = 21

The statement twice as many rows of tomatoes as rows of squash means that:

x = 2y

Substitute x = 2y in x + y = 21

2y + y = 21

This gives

3y = 21

Divide by 3

y = 7

Substitute y = 7 in x = 2y

x = 2 * 7

x = 14

This means that Gary planted 14 rows of tomato.

The number of tomato plants is then calculated using

Tomato plants= 14 * plants per row

This gives

Tomato plants = 14 * 12

Evaluate the product

Tomato plants = 168

Hence, Gardener Gary planted 168 tomato plants

Read more about system of equations at:

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Answer:

7 to the power of 13

Step-by-step explanation:

Answer:

7  to the power of 13

Step-by-step explanation:

Step 1 - 7 to the power of 8 (7 x 8 = 56)

Step 2 - 7 to the power of 5 (7 x 5 = 35)

Step 3 - (7 x 8) + (7 x 5) = 91

Step 4 - Divide 91 by 7

Then your answer would be 7 to the power of 13

a) The linear function that models the amount of water after t minutes is given by:

[tex]V(t) = 200 + 12t[/tex]

b) It takes 92 minutes to completely fill the pond.

Item a:

Then, the function is:

[tex]V(t) = 200 + 12t[/tex]

Item b:

It takes t minutes to fill the pond, t is found for which:

[tex]V(t) = 1304[/tex]

Then

[tex]200 + 12t = 1304[/tex]

[tex]12t = 1104[/tex]

[tex]t = \frac{1104}{12}[/tex]

[tex]t = 92[/tex]

It takes 92 minutes to completely fill the pond.

A similar problem is given at https://brainly.com/question/16302622

Answer:

see image

Step-by-step explanation:

Hope this is clear enough, if not feel free to ask me any questions.

Answer:

- 16k + 28

Step-by-step explanation:

3 - 2(k - 2) - 7(2k - 3) ← distribute parenthesis

= 3 - 2k + 4 - 14k + 21 ← collect like terms

= - 16k + 28

Answer:28−16k

Step-by-step explanation:

3−2(k−2)−7(2k−3)

Use the distributive property to multiply −2 by k−2.

3−2k+4−7(2k−3)

Add 3 and 4 to get 7.

7−2k−7(2k−3)

Use the distributive property to multiply −7 by 2k−3.

7−2k−14k+21

Combine −2k and −14k to get −16k.

7−16k+21

Add 7 and 21 to get 28.

28−16k

Solution 1 :-

Given expression ,

[tex]\implies 13^{\frac{3}{4}} [/tex]

We know that, [tex] a^{\frac{m}{n}} = \sqrt[n]{a^m} [/tex]

Therefore , this can be written as ,

[tex]\implies \sqrt[4]{13^3} [/tex]

Solution 2:-

Given expression ,

[tex]\implies \sqrt[3]{24^{10}} [/tex]

We know that,[tex] a^{\frac{m}{n}} = \sqrt[n]{a^m} [/tex]

Therefore, this can be written as ,

[tex]\implies 24^{\frac{10}{3}}[/tex]

Answer: 1.) D.  

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2.)    C. (24 10/3)

Answer:

141.75g

Step-by-step explanation:

28.35 x 5 = 141.75

I am pretty sure this is the right answer!

Answer:

a. 35 people participated in the walk.

b. About 16 people traveled more than 14 kilometers.

Step-by-step explanation:

(Warning: This may be wrong)