what is the measure of this angle

Answer:

3d²

Step-by-step explanation:

Hello!

To simplify, we combine the like terms by adding them.

Like terms are terms with the same variable and degree. A degree is a power to which the term is raised. Like terms can have numerical coefficients. For example, a coefficient of 4 to x² would mean 4 times x².

We can see that the variable d² is common throughout the three terms, meaning they are like terms. We can simply add and subtract them.

The simplified form is 3d².

[tex]\tan(90^{\circ}-A)\\ \\ =\frac{\sin(90^{\circ}-A)}{\cos(90^{\circ}-A)}\\ \\ =\frac{\cos A}{\sin A}\\\\=\boxed{\frac{1}{\tan A}}[/tex]

Answer: 59

Step-by-step explanation:

Order of operations.

52+6x(2)-5

52+12-5

64-5

59

Step-by-step explanation:

52+6×2-10/2

52+6×2-10÷2

52+6×2-5

52+12-5

64-5 =59

my answer is 59.

The solution to the system of equation are x=2, y=0, z=6

System of equations are equations that contains unknown variables.

Given the equations

3x+y+2z=8

8y+6z=36

12y+2z=12

From equation 2 and 3

8y+6z=36 * 1

12y+2z=12 * 3

______________

8y+6z=36

36y+6z= 36

Subtract

8y - 36y = 36 - 36

-28y =0

y = 0

Substitute y = 0 into equation 2

8(0)+6z=36

6z = 36

z = 6

From equation 1

3x+y+2z =8

3x + 0 + 2(6) = 8

3x = 8 - 12

3x = 6

x = 2

Hence the solution to the system of equation are x=2, y=0, z=6

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Option third "He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x², –x, –6x, and 6' is correct.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We have a quadratic expression to model the area of the rectangle:

= x² – 7x + 6

[tex]\rm =\left(x^2-x\right)+\left(-6x+6\right)[/tex]

[tex]=\rm x\left(x-1\right)-6\left(x-1\right)[/tex]

= (x - 1)(x - 6)

Thus, option third "He could draw a diagram of a rectangle with dimensions x – 1 and x – 6 and then show the area is equivalent to the sum of x², –x, –6x, and 6' is correct.

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The point slope form of line is y+4 = -4( x+3)

The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point.

Given:

m=4

We know the general form is

y - b = -4(x - a)

So, from the graph attached below

b= -4, a= -3

So, y-(-4)= -4(x-(-3))

y+4 = -4( x+3)

Hence,  point slope form of line is y+4 = -4( x+3).

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Answer: 2114

Step-by-step explanation:

m = sum of the terms / number of terms

151 = a/ 14

14 x 151 = a

2114 = a

Answer:

21.14 m

Step-by-step explanation:

the mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

here mean is 151 cm and count = 14 , then

[tex]\frac{sum}{14}[/tex] = 151 ( multiply both sides by 14 to clear the fraction )

sum = 14 × 151 cm = 2114 cm = 2114 cm ÷ 100 = 21.14 m

Considering the given histogram, the mean of the data-set is closest to:

B. 5.

An histogram is a graph that shows the number of times each element of x was observed.

The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.

Hence, considering the histogram, the mean is given by:

M = (1x1 + 2x2 + 3x3 + 4x1 + 5x1 + 6x2 + 7x3 + 8x1 + 9x1)/(1 + 2 + 3 + 1 + 1 + 2 + 3 + 1 + 1) = 4.87.

Which is closest to 5, hence option B is correct.

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Answer:

Domain is all x-values and range is all y values. See all of the x values and y values that are touching the graph. Also, when there is a circle/ hole, use parenthesis for the interval notation.  Hope it helps!

Answer:

The right graph

Step-by-step explanation:

Because the equation is in point slope form, we know it passes through (3,1) and has a slope of 2/3.

Answer:

i think 345 if not sorry

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Factors of 15 are 1, 3, 5, 15

Factors or 6 are 1, 2, 3, 6

HCF = 3

Answer:

The first one is 5.83 or -5 5/6

The second one is -414 1/3

The last one is 290

Answer:

D is the answer for you.

The graph is plotted and attached in the attachment. The given equation is a linear equation with the intercept 0.

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

If the slope of a line is m and the y-intercept is c, then the equation of that straight line is given as y = mx + c.

Given equation;

y + 2 = (x+2)

Rearrange the equation;

y + 2 = x+ 2

y=x

The standard equation for the straight line is;

y = mx + c

Where c is the intercept and m is the slope

After comparing the given equation with the standard equation we get;

m = 1

c =0

Hence,the graph is plotted and attached in the attachment.

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The measure of angle E will be 90 degrees as well.

Assume EFG = JKL.

If mLJ = 90°, mL K = 26°, and m< L = 64°,

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

We have been given an image of two congruent triangles.

Since, EFG = JKL

therefore, the corresponding angles will be congruent.

m < J = 90° = m< E = 90

By congruence measure of angle, J will be equal to the measure of angle E.

Hence, The measure of angle E will be 90 degrees as well.

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Answer:

The reference atomic mass is carbon-12 when calculating atomic masses.

Step-by-step explanation:

The one-twelfth mass of an atom of carbon-12 is known as an atomic mass unit.

Because no other nuclide has a mass that is exactly a whole number in this scale except for carbon-12.

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Answer:

9

Step-by-step explanation:

10x + 8x = 162

18x = 162

x = 9

The value of x would be 30 degrees.

The angle sum property of a triangle states that the sum of the interior angles of a triangle is 180 degrees.

Let's consider an angle CAD be t.

In a triangle ABD

x + 90 + t = 180

t = 180 -x - 90

t = 90 - x ( by angle sum property)

Now, we know that the sum of the corresponding angle on a transversal is 180

So,

Angle A + angle D = 180

2x + t + x + x = 180

substitute the t value

2x + 90 - x + 2x = 180

3x + 90 = 180

3x = 90

x = 30 degree

Hence, the value of x would be 30 degrees.

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Answer:

a).1000/400*100

= (1000*100)/400

= 100000/400 = 250

b).600

Step-by-step explanation:

a). Percentage solution with steps:

Step 1: We make the assumption that 400 is 100 % since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100 % = 400.

Step 4: In the same vein, x % = 1000 .

Step 5: This gives us a pair of simple equations:

100 % = 400(1).

x % = 1000(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

100 % / x % = 400/1000

Step 7: Taking the inverse (or reciprocal) of both sides yields

x/100 = 1000/400

x = 250 %

Therefore, 1000 is 250 % of 400.

b) $1000-$400= 600

= $400+$600=$1000

The square root contains two same numbers and the cubic root contains three same numbers.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The square root contains two same numbers and the cubic root contains three same numbers.

For an example:-

√9 = [tex]\sqrt{3\times 3}[/tex] =  3 as we can see in the example the value of the square root of 9 is 3 it consists of two threes in the roots.

∛27 = [tex]\sqrt[3]{3\times 3\times 3}[/tex] = 3 here we have found that 27 contains 3 times 3 so the cube root of 27 will be equal to 3.

Therefore square root contains two same numbers and the cubic root contains three same numbers.

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Answer:

3 and -3

Step-by-step explanation:

Answer:

0 is the answer to the question

Answer:

X     Y

5      7

20   28

60   84

This table shows the proportional relationship.

Step-by-step explanation:

The equivalent ratios of two variables known as proportional relationship.

Table 1:  X     Y                                        Table 3: X     Y

              4     6                                                       12    5

              8     12                                                      18    7

              18    26                                                     26   9

Ratio = 4:6 = 8:12 ≠ 18:26                       Ratio = 12:5 ≠ 18:7 ≠ 26:9

Table 2: X     Y                                       Table 4: X     Y

              5     7                                                       3      2

              20   28                                                    9      8

              60   84                                                    15     14

Ratio = 5:7 =20:28=60:84                       Ratio = 3:2 ≠ 9:8 ≠ 15:14

Here we see table 2 shows the proportional relationship.

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Answer:

a = 11, b = 7

Step-by-step explanation:

See picture

The expression which is equal to the expression [tex]x^{2} yx^4} y^{3} xy^{2}[/tex] is as [tex]x^{7} y^{6}[/tex].

Given Expression   [tex]x^{2} yx^4} y^{3} xy^{2}[/tex] and we have to find the expression equal to this.

Two variables are present in the given expression x and y but both are in different form or powers.

x is having power 2 , 4 and 1 so because the base is same for all and they are in multiplied form so we will add the powers to form [tex]x^{4+2+1}\\[/tex]

=[tex]x^{7}[/tex]

Now y is having 1,3,2 powers so because the base is same for all and they are in multiplied form so we will add all the powers to form [tex]y^{6}[/tex]

Now multiply both to get the required expression which is [tex]x^{7} y^{6}[/tex].

Hence the expression which is equal to the given expression is [tex]x^{7} y^{6}[/tex].

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Answer:

y = 90 -5/2 x

Step-by-step explanation:

The angle on the left equals x+3x+x = 5x

The angle on the right equals 2y

The two angles are same side interior angles which are supplementary because the lines are parallel

5x+2y = 180

Solving for y

2y = 180-5x

Divide by 2

2y/2 = 180/2 -5x/2

y = 90 -5/2 x

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

The two lines are parallel, henceforth we can apply Angle pair rules.

[tex]\qquad \tt \rightarrow \:(x + 3x + x) + 2y = 180[/tex]

[ Co - interior angles ]

[tex]\qquad \tt \rightarrow \:5x + 2y = 180[/tex]

[tex]\qquad \tt \rightarrow \:2y = 180 - 5x[/tex]

[tex]\qquad \tt \rightarrow \:y = \dfrac{180 - 5x}{2} [/tex]

[tex]\qquad \tt \rightarrow \:y = \cfrac{180 }{2} - \cfrac{5x}{2} [/tex]

[tex]\qquad \tt \rightarrow \:y = 90 \degree - \cfrac{5x}{2} [/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞