Tell whether the angles are adjacent or vertical. Then find the value of x.

The angles are angles

The value of x is

Answer:

a. You can find the value of 4w by using inverse operations. Subtract 8 from both sides in the equation 4w+8=32. You will get 4w=24. Now, you divide 4 by both sides to get w by itself. You will soon get 6. Now multiply 6 and 4, coming to the conclusion that 4w=24.

b. To find the value of w using the value of 4w, which is 24, simply use inverse operations once more. Using the equation 4w=24, we can use division and divide 4 by both sides, leaving us with w by itself. We end up with w=6. The value of w is 6.

c. You can check if the value of w is correct by plugging in your number back into the equation. Our equation is 4w+8=32, so we replace w with 6, the value for w that we found. We end up with 4(6)+8=32. Multiply 4 by 6, ending up with 24, then add it to 8, coming up with 32. 4(6)+8=32, which shows us that 6 is the correct value for w.

The students could use what they know of triangle rectangles, in the image below you can see the diagram that the students could use to estimate the height of the tower.

First, the students could use the measuring tape to find the distance between the base of the tower and them, this distance is represented with the variable S in the image below.

Now, using the clinometer, they could find the elevation angle between their viewpoint and the tip of the tower. This would be the angle θ in the image (notice that they should do this from the ground).

So at this point, we know one angle and the adjacent cathetus to that angle.

And we want to find the height of the tower, which is the opposite cathetus to the known angle.

Then we can remember the trigonometric relation:

tan(a) = (opposite cathetus)/(adjacent cathetus)

Replacing these by the things we know:

tan(θ) = H/S

tan(θ)*S = H

Then, by measuring θ and S, we can find the height.

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Answer:

7a²b²(a - 2b)

Step-by-step explanation:

Given

7a³b² - 14a²b³ ← factor out 7a²b² from each term

= 7a²b²(a - 2b)

Answer:

300 raisins

Step-by-step explanation:

sum the parts of the ratio, 3 + 27 = 30 parts

Divide the total by 30 for the value of one part of the ratio.

3000 ÷ 30 = 100 ← value of 1 part of the ratio , then

3 parts = 3 × 100 = 300 ← number of raisins in a box

Mark Brainliest if correct:

x = -2, 9

Step-by-step explanation:

x2: x + 2 = 0

x = -2

x1: x - 9 = 0

x = 9

x = -2, 9

Answer:

The answer is -51146

Step-by-step explanation:

Just substract simple

Step-by-step explanation:

please check the attachment for solutions

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Explanation:

We'll use the distance formula here. Rather than compute the distance d based on two points given, we'll go in reverse to use the given distance d to find what the coordinate must be to satisfy the conditions.

We're given that d = 5

The first point is [tex](x_1,y_1) = (5,2)[/tex] and the second point has coordinates of [tex](x_2,y_2) = (x,5)[/tex] where x is some real number.

We'll plug all this into the distance formula and solve for x.

[tex]d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\5 = \sqrt{(5-x)^2+(2-5)^2}\\\\5 = \sqrt{(5-x)^2+(-3)^2}\\\\5 = \sqrt{(5-x)^2+9}\\\\\sqrt{(5-x)^2+9} = 5\\\\(5-x)^2+9 = 5^2\\\\(5-x)^2+9 = 25\\\\(5-x)^2 = 25-9\\\\(5-x)^2 = 16\\\\5-x = \pm\sqrt{16}\\\\5-x = 4 \ \text{ or } \ 5-x = -4\\\\-x = 4-5 \ \text{ or } \ -x = -4-5\\\\-x = -1 \ \text{ or } \ -x = -9\\\\x = 1 \ \text{ or } \ x = 9\\\\[/tex]

This means that if we had these three points

Then segments AB and AC are each 5 units long.

the first one is, yes by AA

the second is no you cannot

Answer:

it's the 3rd option

Step-by-step explanation:

f(x) 0 over the intervals (–∞ –3)

Hope it's right

Answer:

Step-by-step explanation:

[tex]\displaystyle \Large \boldsymbol{} \tt a) \ 3-2x=3(x+4)-x-1\\\\3-2x=3x+12-x-1 \\\\3-12+1=3x+2x-x \\\\4x=-8 \\\\\boxed{ \tt x=-2} \\\\\\b) \ 5x\underline{(x-1)}-4\underline{(x-1)}=0 \\\\\\(5x-4)(x-1)=0 \Longrightarrow \boxed{ \tt x_1=0.8 \ \ ; \ \ x_2=1}[/tex]

Step-by-step explanation:

a is the answer if is wrong I'm sorry

Answer:

domain : {3,4,6}

range: {1,5,9}

Answer:

360 in.

Step-by-step explanation:

In order to get this answer, you have to multiply 5 and 8 by 3 because the drawing is 1/3 of the actual flag.

5 x 3 = 15

8 x 3 = 24

So, 24 x 15 = 360 in.

Hope this helps! :)

[tex]\bf \large \rightarrow \: \:2x \: + \: 8 \: = \: 0[/tex]

[tex]\bf \large \rightarrow \: \:x \: = \: \frac{8}{2} \\ [/tex]

[tex]\bf \large \rightarrow \: \:x \: = \: \cancel\frac{ 8}{ 2} \: \: ^{4} \\ [/tex]

[tex]\bf \large \rightarrow \: \:x \: = \: 4[/tex]

Option ( A ) is the correct answer.

Answer:

mine too

Step-by-step explanation:

Answer:

x=150

Step-by-step explanation:

x/30-x/40=5/4

or, (4x-3x)/120=5/4

or, x/120=5/4

or, x=600/4

or, x=150

Answer:

100

Step-by-step explanation:

2h (l+b)​

Let l=6  b=4 and h = 5

2*5( 6+4)

Parentheses first

2*5(10)

Multiply

10*10

100

Option B is 1/3 + 1/4.

1/3 + 1/4 is equal to 7/12.

Here, we have,

To find the sum of 1/3 and 1/4, you need to have a common denominator.

The common denominator of 3 and 4 is 12.

To make the fractions have the same denominator, you can convert them as follows:

1/3 = (1/3) * (4/4) = 4/12

1/4 = (1/4) * (3/3) = 3/12

Now that both fractions have a denominator of 12, you can add them together:

1/3 + 1/4 = 4/12 + 3/12 = (4+3)/12 = 7/12

Therefore, 1/3 + 1/4 is equal to 7/12.

now, from the given options, we have,

in option B. it is indicating that,

2/6 + 1/4

=> 1/3 + 1/4.

Hence, Option B is 1/3 + 1/4.

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[tex] \large\color{lime}\boxed{\colorbox{black}{Answer : - }}[/tex]

We know that, in ∆ABC,

∠A+∠B+∠C = 180°

But the triangle is right angled at C

ie., ∠C = 90°

Therefore, ∠A+∠B+ 90° = 180°

⇒ ∠A + ∠B = 90°

Therefore, cos(A + B) = cos 90º = 0

Answer:

Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangle

Answer:

a) Arithmetic    yₙ = 3*(n - 1) + 13

b) Geometric   yₙ = 2*5⁽ⁿ⁻¹⁾

Step-by-step explanation:

The formula for the nth term e, of that sequence is; yₙ = 3*(n - 1) + 13 and yₙ = 2*5⁽ⁿ⁻¹⁾

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:

a, a + d, a +  2d, ... , a + (n+1)d, ...

Its nth term is

T_n = a + (n-1)d

(for all positive integer values of n)

(a) 13, 16, 19

Here,  yₙ = 3*(n - 1) + 13

This is an Arithmetic.

b) 2, 10, 50

Here, yₙ = 2*5⁽ⁿ⁻¹⁾

This is Geometric .  

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Answer:

Step-by-step explanation:

r = d/2

r = 2.4 m/2 = 1.2

h = 1.8

pi = 3.14

Volume = pi * r^2 * h

Volume = 3.14 * 1.2^2 * 1.8

Volume = 8.139

Volume = 8 to the nearest m^3

Answer:

A = 216.24 km²

Step-by-step explanation:

Answer:

m = 1/2

b = -5

Step-by-step explanation:

The equation of the line of the points (6,-2) and (-6,-8) is y = 1/2x — 5

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The value of m and b in the given equation is 0.5 and -5, respectively.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The given equation is the equation of a line, where m is the slope of the line and b is the y-intercept of the line. Therefore, the value of m or the slope of the equation is,

m = [-8 - (-2)] / [-6 - 6] = -6/-12 = 0.5

Now, substitute the value of x, y, and m in the given equation, therefore, the value of b can be written as,

y = mx + b

-2 = 0.5(6) = b

-2 = 3 + b

b = -2 + -3

b = -5

Hence, the value of m and b in the given equation is 0.5 and -5, respectively.

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Answer:

13/9

Step-by-step explanation:

Given

5/9 + 8/9

Both fractions have the same denominator.

Therefore, pick one of the denominator and add the numerators

5/9 + 8/9

= (5+8) / 9

= 13/9

5/9 + 8/9 = 13/9

A=(–2,–4) , B=(0,4)

m=(y2-y1)/(x2-x1)= (4-(-4)) / (0-(-2))=8/2=4

(x+2)(x+4)=x²+4x+2x+8=x²+6x+8

I hope I helped you^_^

Answer:

E, D and E

Step-by-step explanation:

(28)

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate the slope using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = A (- 2, 3) and (x₂, y₂ ) = B (2, - 3) ← 2 points on the line

m = [tex]\frac{-3-3}{2-(-2)}[/tex] = [tex]\frac{-6}{2+2}[/tex] = [tex]\frac{-6}{4}[/tex] = - [tex]\frac{3}{2}[/tex]

y = - [tex]\frac{3}{2}[/tex] x → E

(29)

Using the slope formula

with (x₁, y₁ ) = A (- 2, -4) and (x₂, y₂ ) = B (0, 4) ← 2 points on the line

m = [tex]\frac{4-(-4)}{0-(-2)}[/tex] = [tex]\frac{4+4}{0+2}[/tex] = [tex]\frac{8}{2}[/tex] = 4 → D

(30)

(x + 2)(x + 4)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x + 4) + 2(x + 4) ← distribute both parenthesis

= x² + 4x + 2x + 8 ← collect like terms

= x² + 6x + 8 → E

Step-by-step explanation:

(-1,0),m=2

(1-7),m=12

m=-4,(-1,-4)