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2 years ago

How does the vertex solved in octagon shapes

Mathematics

1 answer:

yKpoI14uk [10]2 years ago

5 0

Answer:

Vertex. An octagon has eight vertices (corners).

Step-by-step explanation:

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The measure of Angle E, the angle of elevation from point A to point B, is left-parenthesis 3 x plus 1 right parenthesis-degrees

Anuta_ua [19.1K]

Answer:

∠D = ∠E = 46°

Step-by-step explanation:

∠D and ∠E are interior opposite angles.

∠D = ∠E

2(x + 8) = 3x + 1

2x + 16 = 3x + 1

x = 15°

∠D = 2(15 + 8) = 2 × 23 = 46°

∠E = 3× 15+ 1 = 45 + 1 = 46°

7 0

3 years ago

Please help!! I need step by steps!! Thank you

alexandr402 [8]

Answer:

Part 1) The numbers are 22,24 and 26

Part 2) The value of x has no solution

Part 3) The value of x has no solution

Part 4) The value of x is $x=-3.5$

Step-by-step explanation:

Part 1)

Let

x ----> the first even number

x+2 ---> the second consecutive even number

x+4 ---> the third consecutive even number

we know that

$2(x)=(x+2)+20$

Solve for x

$2x=x+22$

$2x-x=22$

$x=22$

therefore

The numbers are 22,24 and 26

Part 2) we have

$10x-5-2(x+7)=2(4-x)+10x$

Distribute in the left and the right side to remove the parenthesis

$10x-5-2x-14=8-2x+10x$

Combine like terms

$8x-19=8x+8$

$-19=8$ -----> is not true

therefore

The value of x has no solution

Part 3) we have

$-4x+5-1(x-4)=5x+5+4(1-3x)$

Distribute in the left and the right side to remove the parenthesis

$-4x+5-x+4=5x+5+4-12x$

Combine like terms

$-5x+9=-7x+9$

$-5x=-7x$ -----> is not true

therefore

The value of x has no solution

Part 3) we have

$8-(9x+6)=5x+5+4(1-3x)$

Distribute in the right side to remove the parenthesis

$8-9x-6=5x+5+4-12x$

Combine like terms

$2-9x=-7x+9$

$9x-7x=2-9$

$2x=-7$

$x=-3.5$

4 0

3 years ago

What is the slope + y-intercept of the line in the picture

Verizon [17]

The correct answer is A

4 0

3 years ago

Read 2 more answers

Which equation can be used to find the length of AC?

pochemuha

With respect to the given angle of 40°

AC = b, is the opposite side

AB = 10 in is the hypotenuse.

Using the rules of trigonometric ratios,

We know the ratio associating opposite & hypotenuse is sin.

So we have

$sin\theta= \frac{Opposite}{Hypotenuse}$

Substituting the values we get

$sin 40^{0} = \frac{b}{10}$

Multiplying both sides by 10 we get

b = 10 sin 40°

AC = 10 sin40°

First option is the right answer.

6 0

3 years ago

Read 2 more answers

Use the following information to answer this question and the next. Suppose that a recent poll of American households about pet

choli [55]

Answer:

28.75% probability that none of the three randomly selected households own a cat

Step-by-step explanation:

For each household, there are only two possible outcomes. Either it owns a cat, or it does not. The probability of a household owning a cat is independent of other households. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

34% owned a cat

This means that $p = 0.34$

Three households are selected

This means that $n = 3$

What is the probability that none of the three randomly selected households own a cat?

This is P(X = 0).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{3,0}.(0.34)^{0}.(0.66)^{3} = 0.2875$

28.75% probability that none of the three randomly selected households own a cat

5 0

3 years ago