What is a name for the marked angle?
Picture given

Answer:

The correct Option is B

Step-by-step explanation:

Two Angles that are equal to the same angle must themselves be equal (Transitive property of equality)

BD = BE, because they are radii of the same circle. DG = EG because they are sides f equilateral triangle DEG. Therefore, the correct option is option A.

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles.

We refer to these as dihedral angles. The angle formed by the rays lying perpendicular to the two crossing curves at the point of junction is another property of intersecting curves.

Angle can also refer to the size of such an angle or maybe a rotational angle. The length of such a circular arc divided by its radius is the traditional definition of this metric, which may also be signed. BD = BE, because they are radii of the same circle. DG = EG because they are sides f equilateral triangle DEG.

Therefore, the correct option is option A.

To know more about angle, here:

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Answer:

-0.8

Step-by-step explanation:

Given that :

Mean of test score, m = 72

Standard deviation of test score, σ = 5

Trainee's score, x = 68

Since the distribution is Symmetric ;

The Zscore Cann be calculated thus :

Zscore = (x - mean) / standard deviation

Zscore = (68 - 72) / 5

Zscore = - 4 / 5

Zscore = - 0.8

Answer:

x = 2 and x = 3

Step-by-step explanation:

Formulas used :

[tex]log_5 \ 5 = 1[/tex]

[tex]log_5 \ x + log_5 \ y = log_5 \ (xy)[/tex]

[tex]log_5 \ x = log_5 \ y => x = y[/tex]

Steps :

[tex]2 \ log_5 \ x = 1 + log_5 (x - \frac{6}{5} )\\\\2 \ log_5 \ x = log_5 \ 5+ log_5 (x - \frac{6}{5} )\\\\2 \ log_5 \ x = log_5 \ ( 5(x - \frac{6}{5} ))\\\\x^2 = 5(x - \frac{6}{5})\\\\x^2 = 5x - 6\\\\x^2 - 5x + 6 = 0\\\\x^2 - 2x - 3x + 6 = 0\\\\x(x - 2 ) - 3 (x - 2) = 0\\\\(x - 3)(x-2) = 0\\\\x = 3 , x = 2[/tex]

Answer:

16days

Step-by-step explanation:

1 man =4days

4men=4men/1man×4days

=4×4days

=16days

Answer:

1

Step-by-step explanation:

averaging

Answer:

The corresponding angles theorem works for cases where we have two parallel lines intersecting another line.

Two lines are parallel if, at any point, the distance between these two lines is always the same.

Now, if we look at the image, we can see that the distance between the two horizontal lines changes (is smaller at the right and larger at the left)

Thus, these lines are not parallel.

Then the corresponding angles theorem can not be used here, and we have that:

∠9 ≠ ∠10

Answer:

L

Step-by-step explanation:

Here, we want to get the circle center

The diameter is a chord that passes through the center of the circle

looking at the given diagram, we can see chords SM and MN

Between this two, we can see that it is SM that passes through the center

Looking at the diagram, we can conclude that L is the circle center where the diameter SM passes

Answer:

x+3?

Step-by-step explanation:

honestly, there is not alot of information present here. so when a hear "a number" i think variable.... which would be set up as x+3

The image of the car park showing the 2 angles is attached.

Answer:

Their lines are parallel.

Step-by-step explanation:

From the attached image, we can see that ∠1 and ∠2 form a pair of alternate exterior angles. Thus; ∠1 = ∠2.

Now since they are congruent, it means that their lines will be parallel.

Thus, we can conclude that their lines are parallel.

Answer:

2 + 0.0 + 0.07 + 0.003

Step-by-step explanation:

Pretty much just adding the whole number and decimal.

2 (whole number) + 0.073

Expanded forms require showing which place the numbers are in (i.e. 0.07 is the hundredths place)

Answer:

the answer is 1

Step-by-step explanation:

2+(-1)

2-1

1

+ and - always result in - so +(-1) is -1 and 2-1 is 1.

Answer:

1

Step-by-step explanation:

Negative 1 is used as a minus sign. I canceled the plus and now the equation is 2-1

Answer:

-1/3

Step-by-step explanation:

at x=0 y= 5

at x=3 y= 4

y=ax+b

b= 5

4=3x+5

3x= -1

x= -1/3

[tex]y = - \frac{x}{3} + 5[/tex]

Answer: .98

Step-by-step explanation:

Answer:

32.7 degrees

Step-by-step explanation:

The total exterior angle of any polygon is 360 degrees

Each exterior angle can be calculated by dividing this total by the number of sides

So we have each measure as 360/n

where n is the number of sides

here, we have n = 11

So we have each exterior angle as:

360/11 = 32.7 degrees

Answer:

40

Step-by-step explanation:

Answer:

which shape tho and it's easy if there is more than one shape than find the formula for each shape and combine them!

Answer:

Answer:

The equation of the line is [tex]y = 2\cdot x + 3[/tex].

Step-by-step explanation:

The data of the table represents a line, also known as a linear function or a first order polynomial if and only if the following property is satisfied:

[tex]\frac{y_{i+1}-y_{i}}{x_{i+1}-x_{i}} = m, m \in \mathbb{R}[/tex] (1)

Now we proceed to check if the table represents a line instead of another kind of function:

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{7-5}{2-1} = 2[/tex]

[tex]\frac{y_{3}-y_{2}}{x_{3}-x_{2}} = \frac{9-7}{3-2} = 2[/tex]

[tex]\frac{y_{4}-y_{3}}{x_{4}-x_{3}} = \frac{13-9}{5-3} = 2[/tex]

[tex]\frac{y_{5}-y_{4}}{x_{5}-x_{4}} = \frac{15-13}{6-5} = 2[/tex]

Hence, the data represents a line. From Geometry we know that the equation of the line can be obtained by knowing two distinct points. The formula of the line is described below:

[tex]y = m\cdot x + b[/tex] (2)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]m[/tex] - Slope.

[tex]b[/tex] - y-Intercept.

If we know that [tex](x_{1}, y_{1}) = (1, 5)[/tex] and [tex](x_{2}, y_{2}) = (6, 15)[/tex], then we have the following system of linear equations:

[tex]m + b = 5[/tex] (1)

[tex]6\cdot m + b = 15[/tex] (2)

The solution of the system of linear equations is: [tex]m = 2[/tex], [tex]b = 3[/tex].

The equation of the line is [tex]y = 2\cdot x + 3[/tex].

Answer:

x = 2/3

Step-by-step explanation:

The last two digit of postal code here is 12

We multiply this by x

so we have x * 12 = 12x

The number of family members is 6 ; and we are to equate it to my age which is 14

thus, we have the equation as;

12x + 6 = 14

12x = 14-6

12x = 8

x = 8/12

x = 2/3

Answer:

The ratio of the distance of Pluto and the earth to the Sun is 40.

Time taken by light to travel from Sun to Pluto is 5.3 hours.

Step-by-step explanation:

Distance between Earth an Sun = 93,000,000 miles

Time from Sun to Earth = 8 minutes

Distance beteen Pluto and Sun = 3.7 x 10^9 miles

The ratio of the distance between Pluto and Sun to the Earth and Sun is

[tex]\frac{3.7\times 10^9}{93000000}\\\\=39.8 =40[/tex]

Now let the time taken by the light to move from Sun to Pluto is t.

[tex]\frac{93000000}{8}=\frac{3.7\times 10^9}{t}\\\\t =318.28 minutes = 5.3 hours[/tex]

Answer:

74059.3 J

Step-by-step explanation:

KE = I/2mv²

KE = 1/2(1200)(11.11)²

KE = 1/2(1200)(123.4321)

KE = 74059.26 J

Answer

74059.26J

Explanation

Formula

EK=mv^/2

m=1200kg

v=11.11m/s

E=1200kg×(11.11m/s)^/2

E=74059.26J

Answer:

Let length = x

Let width = x + 5

Let Area = A

A = x(x + 5)

A = x2 + 5x

Answer:

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

[tex]\huge\bold{Given :}[/tex]

Product of two numbers = 1.875

One of the number = 2.5

[tex]\huge\bold{To\:find :}[/tex]

The second number.

[tex]\huge\bold{Solution :}[/tex]

[tex]\sf\blue{The \:second\:number \:is\:0.75 .}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Let the second number be [tex]x[/tex].

As per the question, we have

[tex]Product \: \: of \: \: the \: \: two \: \: numbers = 1.875 [/tex]

[tex]⇢ \: 2.5 \times x = 1.875[/tex]

[tex]⇢x = \frac{1.875}{2.5} [/tex]

[tex]⇢x = 0.75[/tex]

[tex]\sf\purple{Therefore,\:the\:second\:number\:is\:0.75.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex]2.5 \times x = 1.875[/tex]

[tex]➪ \: 2.5 \times 0.75 = 1.875[/tex]

[tex]➪ \: 1.875 = 1.875[/tex]

➪ L. H. S. = R. H. S.

Hence verified.

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}[/tex]

Answer:

Step 1: 8x - 12 = 1; Step 2: 8x = 13

Step-by-step explanation:

Given equation:

4(2x - 3) = 1

Step 1: open the parenthesis

4(2x - 3) = 1

8x - 12 = 1

Step 2: collect like terms

8x - 12 = 1

8x = 1 + 12

8x = 13

step 3: divide both sides by the coefficient of x

8x = 13

x = 13/8

The correct steps to solve the equation:

Step 1: 8x - 12 = 1; Step 2: 8x = 13

Answer:

47.1 > .00105

Step-by-step explanation:

Given :

5.01×10-3 ? 0.00105

Now,

5.01×10-3 ? 0.00105

50.1-3?0.00105

47.1?0.00105

From the above equation, we can say that 47.1  is greater than 0.00105

Therefore, 47.1 > .00105

Answer:

130º

Step-by-step explanation:

it seems like this would make a circle which adds up to 360º so first add the two numbers (150+80=230) then subtract from the amount it should be (360-230=130)

Answer:

yes what would u like help with

Answer:

[tex] x \approx \: \boxed{49.471}[/tex]

Step-by-step explanation:

[tex] - 5 + 2In(3x) = 5 \\ 2In(3x) = 5 + 5 \\ 2In(3x) = 10 \\ In(3x) = \frac{10}{2} \\ In(3x) = 5 \\ \implies \: 3x = {e}^{5} \\ \implies \: x = \frac{ {e}^{5} }{3} \\ x = \frac{148.41316}{3} \\ x = 49.4710533 \\ x \approx \: \boxed{49.471}[/tex]

Answer:

x= e^ 5 / 3 OR 49.471

Step-by-step explanation:

-5=2In (3x)=5

determine the defined range

-5+2In (3x) = 5, x>0

move the constant to the right- move the five to the right and change the sign

2In (3x)= 5+5

calculate- add them together

2In (3x)=10

divide both sides by 2

In (3x)=5

covert into exponential form ( x=e^5)

3x= e^5

divide both sides by 3

x=e^5/3 , x> 0

(check if the solution is in the defined range) which is the answer