∠A and \angle B∠B are supplementary angles. If m\angle A=(2x-9)^{\circ}∠A=(2x−9) ∘ and m\angle B=(2x+21)^{\circ}∠B=(2x+21) ∘ , then find the measure of \angle A∠A.

Answer:

[tex] \frac{ \sqrt{2} }{2} \: or \: 0.7071[/tex]

Step-by-step explanation:

[tex] \sin(135) = \frac { \sqrt{2} }{2} \: or \: 0.7071 [/tex]

False,  there is not enough information provided to Prove that both the triangles are congruent.

Triangles have three sides and three angles, as we discovered in pre-algebra. We also discovered that a triangle's total angle is 180 degrees.

Congruent triangles are two triangles that are the same size and shape. Two congruent triangles remain congruent even if we flip, turn, or rotate one of them.

Two triangles must have the same angles and, as a result, must be congruent if their sides are the same. If two triangles are congruent or not, we may determine this simply by looking at their sides.

These two triangles are also equivalent if we know that two sides of one triangle and the angle between them are congruent to two sides and the angle between them of another triangle.

If we know that two angles and the side between them in one triangle are congruent with two angles and the side between them in another triangle, then these two triangles are probably congruent.

When two angles and a non-included side in one triangle are congruent to the corresponding angles and side of another triangle, we are left with the final scenario that results in congruent triangles.

The given data doesn't satisfy any of the conditions.

Hence, there is not enough information provided to Prove that the two triangles are congruent.

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Answer:

tru but u gotta put a picture next time man

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

Distribute

20y+20-y=16y-16

Combine like terms

19y+20=16y-16

subtract 16y from 19y and subtract 20 from -16

3y=-36

Divide by 3

y=-12

Slope of the line passing through (-5,-4)  and (-1,3)is 1.75

The slope formula

slope = (y₂ - y₁) / (x₂ - x₁)

Notice that the slope of a line is easily calculated by hand using small, whole number coordinates. The formula becomes increasingly useful as the coordinates take on larger values or decimal values.

The  points belong to an increasing, linear function.

Equation: y = 1.75x + 4.75.

m=7/4=1.75.

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Answer:

y=231/10

Step-by-step explanation:

First you want to add 2/5 to 15.

Now you will have 2/3y=77/5

Now you want to mulitply both sides 3/2

3/2*2y/3=3/2*77/5

Then you will get y=231/10.

The table can be filled as,

-7

-5

-1

1

9

Answer:

3.) rule of thumb

Step-by-step explanation:

the second drawing if the window frame will be 1 / 2 the size of the first drawing of the window frame.

We have that:

Scale of the first drawing is 1 cm to 6 inches.

It can be written in ratio as:

1 : 6

Now the scale of the other drawing of a window is

1 cm to 12 inches.

which can also be written in ratio as:

1 : 12

By comparing both the ratios, we can see that the first drawing is twice in size as the second drawing as it only includes 6 inches in 1 cm.

That mens the second drawing if the window frame will be 1 / 2 the size of the first drawing of the window frame.

Therefore, we get that, the second drawing if the window frame will be 1 / 2 the size of the first drawing of the window frame.

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Answer: x= -3

Step-by-step explanation:

Answer:

x=-3

Step-by-step explanation:

First you must start by multiplying the parentheses by -5. Once you do that, your equation comes out to -35x+45-6=144. Then you must combine like terms which comes out to -35x+39=144. After that you must get x by itself, so to do that subtract 39 from 144 which comes out to 105. Then you must do the opposite of multiplication and divide 105 by -35 which comes out to x=-3. Hope this helps

If the speed of car is 44 feet per second and the speed of emergency vehicle is 74 feet per second,then they the driver of the car will hear the siren after 8.48 seconds after cover the distance of 1000 feet.

Given that the speed of car be 30 mph or 44 feet per second, the speed of emergency vehicle be 50 mph or 74 feet per second and the distance between both is 1000 feet apart.

We are required to find the seconds after which the driver of the car first hear the siren.

Speed is basically the distance that a vehicle covers in a particular period of time.

Speed=Distance/Time

Time=Distance/Speed

Total speed in feet per second=44+74=118 feet per second

Time=1000/118

=8.48 seconds

Hence if the speed of car is 44 feet per second and the speed of emergency vehicle is 74 feet per second,then they the driver of the car will hear the siren after 8.48 seconds.

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Answer:

36 cm

Step-by-step explanation:

Answer:

3/9  3/8  3/7

Step-by-step explanation:

The higher the denominator, the higher number of times  a number will be divided which means, the number will become smaller.

Answer:

for the triangle question the ans is 2

for the equation question where u have to find the mistake the student made, its the last option

By solving a linear equation we can see that the value of x is 28, and with that, we can see that the measure of the left angle is 85 degrees, and the measure of the right angle is 50 degrees.

We know that the angle at vertex S measures 135°, then we can write the linear equation:

(3x + 1)° + (2x - 6)° = 135°

First, we need to solve this for x.

3x + 1 + 2x - 6 = 135

5x - 5 = 135

5x = 135 + 5 = 140

x = 140/5 = 28

Now that we know the value of x, we can find the two measures, which are:

QSR = (3x +1) = (3*28 + 1)° = 85°

RST = (2x - 6)° = (2*28 - 6)° = 50°

The measure of the left angle is 85 degrees, and the measure of the right angle is 50 degrees.

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Answer:

7

Step-by-step explanation:

[tex]f(4)=4m+c=11 \\ \\ f(5)=5m+c=13[/tex]

Subtracting the equations yields that m=2, and thus c=3.

[tex]\implies f(2)=2(2)+3=7[/tex]

The data sets with a range that is greater than 10 are:

1 5 7 8 14

5 7 9 21 23

The range of any given data set is the difference between the largest and the lowest data point in the data set.

Range for 4 5 6 7 13:

Range = 13 - 4 = 9

Range for 1 5 7 8 14:

Range = 14 - 1 = 13

Range for 10 11 14 17 18:

Range = 18 - 10 = 8

Range for 5 7 9 21 23:

Range = 23 - 5 = 18

11 11 11 11 11 has no range.

Therefore, the data sets with a range that is greater than 10 are:

1 5 7 8 14

5 7 9 21 23

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The sphere's equation that passes through the given point is:

To find the equation of the sphere:

So,

Now,

[tex]\begin{aligned}&=\sqrt{\left(x_c-x_p\right)^2+\left(y_c-y_p\right)^2+\left(z_c-z_p\right)^2} \\&=\sqrt{(3-4)^2+(8-3)^2+(1-(-1))^2} \\&=\sqrt{(-1)^2+(5)^2+(2)^2} \\&=\sqrt{1+25+4} \\\therefore r &=\sqrt{30}\end{aligned}[/tex]

Supplement the center point and radius into the standard sphere equation:

[tex]\left(x-x_c\right)^2+\left(y-y_c\right)^2+\left(z-z_c\right)^2=r^2\\(x-3)^2+(y-8)^2+(z-1)^2=(\sqrt{30})^2\\(x-3)^2+(y-8)^2+(z-1)^2=30[/tex]

Therefore, the sphere's equation that passes through the given point is:

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The correct question is given below;

Find an equation of the sphere that passes through the point (4, 3,−1) and has to center (3, 8, 1).

The number of miles covered by the student is; 54.45 miles.

The college student in discuss incurs a total cost of $144.67.

On this note, the cost incurred over the miles covered can be determined as follows;

= $144.67 - $19.95 - $65.32

= $59.4

Hence, since the cost of one mile is $59.4, it follows that the number of miles covered is;

No. of miles = 54.9/0.99

= 54.45 miles.

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The length of the side in Simple radical form with rational denominator=[tex]\frac{10\sqrt{3} }{3}[/tex]

Equilateral triangle:

An equilateral triangle is a triangle with all three sides of equal length, corresponding to what could also be known as a "regular" triangle. An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides equal. An equilateral triangle also has three equal 60 degrees angles.

Given:

the perpendicular of the triangle = 5

Let the side of the equilateral triangle = a

Solution :

Now all the side of the triangle is is equal, so that a=x

The base of an equilateral triangle is divided into 2 equal parts,  due to the perpendicular.  

Now by Pythagoras equation :

[tex]p^{2} +b^{2} =h^{2}[/tex]

[tex]5^{2} +(\frac{x}{2} )^{2} =x^{2}[/tex]

[tex]25=x^{2} -\frac{x^{2} }{4}[/tex]

[tex]25 (4)=4x^{2} -x^{2} \\100=3x^{2}[/tex]

[tex]\frac{100}{3}=x^{2} \\\\\sqrt \frac{100}{3} } =x[/tex]

[tex]\frac{10}{\sqrt{3} } =x[/tex]

Simple radical form with rational denominator :

Radical form: An expression that uses a root, such as a square root, or cube root is known as a radical notation, Therefore, [tex]3^{\frac{3}{2} }[/tex] in radical form is = √27.

Convert [tex]\frac{10}{\sqrt{3} }[/tex] into radical form with rational denominator:

[tex]\frac{10}{\sqrt{3} } =\frac{10}{\sqrt{3} } .\frac{\sqrt{3} }{\sqrt{3} } \\[/tex]

[tex]\frac{10\sqrt{3} }{3}[/tex]

The length of the side in Simple radical form with rational denominator=[tex]\frac{10\sqrt{3} }{3}[/tex]

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It is possible to construct a cube with 2000

interlocking cubes depending on the sides for each.

It should be noted that a cube had 6 equal faces. In this case, a cube with 2000 interlocking faces can't be constructed with equal number of faces.

In this case, the sides will be:

= 2000 / 6

= 333.33

In this case, it should be noted each side will be 333.33.

Also, if you want each to be a whole number, this won't be possible.

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The equation of the line that goes through the points (−3,−4) and (9,7) can be written in the form 5x - 12y = -75.

To find the equation:

The available points are (3,5) and (9,10).

The line's slope is given by:

[tex]\mathrm{m}=\frac{(10-5)}{[9-(-3)]}=\frac{5}{12}[/tex]

The equation is as follows:

[tex]\begin{aligned}&y-5=\left(\frac{5}{12}\right)[\mathrm{x}-(-3)] \\&\mathrm{y}-5=\left(\frac{5}{12}\right)(\mathrm{x}+3)\end{aligned}[/tex]

Solve it to obtain the equation:

[tex]\begin{aligned}&12 y-60=5 x+15 \\&5 x-12 y=-75\end{aligned}[/tex]

Therefore, the equation is 5x - 12y = -75.

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The correct question is given below:
Find an equation of the line through the points (−3,5) and (9,10) and write it in standard form Ax+By=C, with A>0.

We need to remove either (1, 4) or (1, 1) to create a function.

Relations are formed by two sets, an input set known as domain and an output set known as range and relationships between these sets. A relation is a function if and only if each element from domain is related to only one element of the range. Mathematically speaking, we must satisfy the following proposition:

x → f(x), x → f'(x) ⇒ f(x) = f'(x)

Based on this definition, there are two possibilities to create a function:

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1,3 is the answer I believe. :)

Answer:

1204.7 in

Explanation:

Javid will make a profit of £ 0.40 for each bottle sold.

The orange juice capacity to mango juice capacity ratio, the unit cost for each juice and the end product price. First, determine the amount of orange juice and mango juice to produce a 2-litre bottle:

Orange juice capacity

x = (3 / 10) × 2 L

x = 0.6 L

Mango juice

y = (7 / 10) × 2 L

y = 1.4 L

Second, calculate the cost of each juice by simple rule of three:

Orange juice

x' = (0.6 L / 4 L) × 6 GBP

x' = 0.90 GBP

Mango juice

y' = (1.4 L / 10 L) × 5 GBP

y' = 0.70 GBP

Third, add the two results found in the previous step and find the production cost for a 2-litre bottle:

z = x' + y'

z = 0.90 GBP + 0.70 GBP

z = 1.60 GBP

Fourth, calculate the profit by subtracting the result found in the previous step to the end product price:

z' = 2 GBP - 1.60 GBP

z' = 0.40 GBP

Javid will make a profit of £ 0.40 for each bottle sold.

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The cinnamon-scented jar candle brunt faster.

Relativity means observing some action with different perspective.

Suppose you are moving in a bus at 100 km/hr and you are reading a book.To an observer which you are passing by you and the book he observes moving at a speed of 100 km/hr.But for you the book is not moving at all because both you and the book is moving at a speed of 100 km per hour.

According to the given question Andrei had cinnamon-scented jar candle that burned for 303030 hours and a berry-scented pillar candle that burned for 888888 hours.

From the given data of burning hours we can observe that berry-scented pillar candle that burned for 888888 hours which is more that of Andrei had cinnamon-scented jar candle that brunt for 303030 hours because

30303030 < 888888.

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The histogram that represents this data-set is given at the end of the answer.

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

When measures are spaced out, such as is the case in this problem, the bins of the histogram represent an interval of values. Hence, in this problem, we consider that:

The histogram considering these intervals is given at the end of the answer.

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Y = -0.5

The center point of a straight line can be located using the midpoint formula. You may occasionally need to determine the difference between two specific numbers. For that, you find the average of the two numbers. In a similar way, we obtain the halfway number (or point) between two coordinates using the midpoint formula in coordinate geometry

Let the midpoint of (x₁ ,x₂ ) and (y₁ , y₂) is (x ,y)

x,y = ( x₁ + x₂)/2 , (y₁ +y₂)/2

Since radius is half of the diameter, we need to find the findthe midpoint of the diameter

Using midpoint formula,

y  = (y₁ + y₂)/2

   = (0 + (-1))/2

    = -0.5

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