What is the value of x in the equation 1/2x-3/4=3/8-5/8

Answer:

The measurements of the interior angles of the triangles are 45°-90°-45°

Step-by-step explanation:

we know that

A square is a quadrilateral with 4 equal sides and 4 interior angles of 90 degrees

The diagonal of a square bisect the square into two congruent isosceles right triangles

The two congruent legs of each isosceles right triangle is equal to the length side of the square

The measure of the base's angles of each isosceles right triangle is equal to 45 degrees, because the diagonal bisect the right angle of the square

therefore

The measurements of the interior angles of the triangles are 45°-90°-45°

Answer:

Sample Explanation:

Since the triangle shares an angle with the original square, the triangle has a right angle. Since the triangle has two angles that are congruent, the equation for the measures of all three angles is 90 + 2x = 180, and I found that x = 45. The angles in the triangle are 90°, 45°, and 45°.

Step-by-step explanation:

Finding Unknown Angle Measures  Assignment

Finding Unknown Measurements

Answer

Congruent by dilation

Step-by-step explanation:

They are not the same size, nor have the same area and are not currently congruent because they are different sizes.

Answer:

Step-by-step explanation:

From the figures, you can observe that the triangles don't have the same size or area, that means they cannot be congruent.

However, if we dilate the first triangle by a scale factor of 2, then both triangles will be congruent, because 5 x 2 = 10, 4 x 2 = 8 and 3 x 2 = 6.

Therefore, the right answer is D. Because if you dilate the first triangle, both would be congruent. Also, because they don't have the same area, size, and they aren't congruent.

Answer:

x=2 or x=5

Step-by-step explanation:

0−(x^2−7x+10)

=x^2−7x+10−(x^2−7x+10)

−x^2+7x−10=0

(−x+2)(x−5)=0

−x+2=0 or x−5=0

x=2 or x=5

Answer:

x = 2 or x = 5

Step-by-step explanation:

Several ways to do this.. but i'll use completing the square:

x²-7x +10 = 0

x²-7x  = -10   (take the x coefficient , divide that by two and then square the result and add it back to both sides)

x² - 7x   + ( -7/2 )²  = -10 + ( -7/2 )²  (simply the left side using the property (a + b)² = a² + 2ab + b² )

[x  + (-7/2)]² = -10 +  ( -7/2 )²

[x - (7/2)]² = -10 +  ( 49/4 )

[x - (7/2)]² = 9/4

x - (7/2) = ±√(9/4)

x - (7/2) = ±(3/2)

x = (7/2) ± (3/2)

x = 2 or x = 5

C or QR

Step-by-step explanation:

Answer:

it 15cm im sure of it tell me if you get it right

Answer:

Step-by-step explanation:

The central angle for this problem is:

[tex]\frac{7 \pi}{10}rad \approx 2.2 rad[/tex]

To solve this problem, we have to use an expression that relates, central angle, arc length and radius, which is:

[tex]s=\theta r[/tex]

So, we isolate the radius and solve:

[tex]r=\frac{s}{\theta}=\frac{33cm}{2.2rad}=15cm[/tex]

Therefore, the right answer is the second option.

For this case, we must find two points that belong to the line and thus find the slope.

We have:

[tex](x1, y1) :( 1,1)\\(x2, y2) :(0,4)[/tex]

We found the slope:

[tex]m = \frac {y2-y1} {x2-x1} = \frac {4-1} {0-1} = \frac {3} {- 1} = - 3[/tex]

It is also observed that the cut-off point with the y-axis is 4.

In this way, we discard options A and B.

We evaluate option C:

[tex]y> -3x + 4[/tex]

We substitute the point (0,0) that belongs to the shaded region and verify the inequality:

[tex]0> -3 (0) +4\\0> 4[/tex]

It is not fulfilled!

Thus, the correct option is option D.

ANswer:

Option D

Answer:

For this case, we must find two points that belong to the line and thus find the slope.

We have:

We found the slope:

It is also observed that the cut-off point with the y-axis is 4.

In this way, we discard options A and B.

We evaluate option C:

We substitute the point (0,0) that belongs to the shaded region and verify the inequality:

It is not fulfilled!

Thus, the correct option is option D.

ANswer:

Option D

Answer:

C=3

Step-by-step explanation:

C-(-8) = 5 + 2C

C+8 = 5+2C

Subtract C from each side

C-C+8 = 5+2C-C

8 = 5+C

Subtract 5 from each side

8-5 = 5-5+C

3 =C

Answer:

The correct answer is C=3.

Step-by-step explanation:

To solve this problem, we should first eliminate the parentheses on the left side of the equation.  To do this, we must recognize that there is subtraction of a negative number, which is the same as adding a positive number.  This gives us:

C + 8 = 5 + 2C

Next, we should move all of the variable C's to one side of the equation and move all of the constants (the number terms) to the other side.  To do this, we should subtract C from both sides of the equation (to cancel out the C on the left side, moving them to the right) and subtract 5 from both sides (to cancel out the 5 on the right side and move all of the constant terms to the left).

C - C + 8 - 5 = 5 - 5 + 2C - C

If we recognize which terms cancel, we get:

8 - 5 = 2C - C

When we combine like terms through subtraction on both sides, we get:

3 = C

Therefore, the answer is that C = 3.

Hope this helps!

Answer:

Since she is selling 1.49 per iced tea bottle, and 1.25 per water bottle, and she only consitered how many water bottles she would sell, and not iced tea bottle, the awnser would be: "Barbara's equation did not consider the number of iced tea drinks."

or

the equation did not account for the number of iced tea drinks.

it should be:

let x = number of water drinks.

let y = number of ice tea drinks.

1.25x + 1.49y = 100

Answer:

D

Step-by-step explanation:

the question not give enough explanation and clue

For this case we have that the sum of the internal angles of a quadrilateral is 360 degrees.

In the figure they only give us the measure of an angle. We can not say that the angles C and D or E and F are the same because they do not say it.

Thus, we do not have enough information to solve the problem.

Answer:

Option D

[tex]\dfrac{12!}{6!4!2!}=\dfrac{7\cdot8\cdot9\cdot10\cdot11\cdot12}{2\cdot3\cdot4\cdot2}=13860[/tex]

Answer:

A. 10

Step-by-step explanation:

RT = XZ

With this being stated, XZ also has to be 10.

I am joyous to assist you anytime.

Answer:

≈ 523.6 in³

Step-by-step explanation:

The volume (V) of a sphere is

V = [tex]\frac{4}{3}[/tex] π r³ ← r is the radius

here diameter = 10, hence r = 5, so

V = [tex]\frac{4}{3}[/tex] π × 5³

  = [tex]\frac{4}{3}[/tex] π × 125

  = [tex]\frac{4\pi (125)}{3}[/tex] ≈ 523.6 ( to 1 dec. place )

Answer:

x = 1/2

Step-by-step explanation:

The equation in correct format is:

[tex]log_{5}(25)=x[/tex]

We have to solve this logarithmic equation to find the value of x. This can be done by using the rules of logarithm i.e the power rule and same base rule shown below:

[tex]log(a)^{b}=b \times log(a)\\\\log_{a}(a)=1[/tex]

Using these rules on our equation, we get:

[tex]log_{5}(25)=x\\\\log_{5}(5^{\frac{1}{2} })=x\\\\ \frac{1}{2} log_{5}(5)=x\\\\ \frac{1}{2} (1)=x\\\\ x=\frac{1}{2}[/tex]

Thus the value of x would be 1/2

Answer:

Step-by-step:

Write in exponential form

Simplify the expression

Swap sides

Answer:

3 days

Step-by-step explanation:

First multiply 10 by 400 to find how many meters she runs each day.

10*400 = 4,000

1 kilometer = 1,000 meters

Now convert the meters to kilometers

To convert it to kilometers you divide 4,000 by 1,000, which equals 4 kilometers.

So she runs 4 kilometers each day.

Now divide 12 by 4 to find out how many days it will take to run 12 kilometers.

12/4 = 3 days

Geometric sequence--

The sequence is said to be geometric if each of the term of the sequence is obtained by multiplying the preceding term of the sequence by a fixed constant.

This fixed constant is known as  a common ratio and is denoted by r.

i.e. the sequence is given by:

                 a,ar,ar²,ar³,.....

The graph which represents the geometric sequence is attached to the answer.

Since the table of values are as follows:

          x             y

          1              1

          2             2

          3             4

          4             8

i.e. the sequence 1,2,4,8

form a geometric sequence.

Since the common ratio of the sequence is: 2 with first term as: 1

(first term is: 1

second term is: 1×2=2

Third term is: 2×2=4

and fourth term is: 4×2=8 )

Answer:

It's B. Second Graph.

Step-by-step explanation:

Answer:

3/4=x/9

Step-by-step explanation:

I think we use the side slitter theorem for this case so x/9 pair together and 3/4 also.

This mathematics question from a high school student is about geometric relationships in a three-dimensional coordinate system, with details specifically on parallel lines, vector addition, and a Weissenberg diagram relevant to crystallography.

The question on which assistance is sought pertains to geometric concepts, specifically those related to parallel lines and coordinates in a plane or space. In this context, VW being parallel to YZ implies that these lines are in the same geometric plane and maintain a constant distance from each other. Given that the z-axis is horizontal, the x-axis points backward, and the y-axis points upward, we are discussing a three-dimensional Cartesian coordinate system.

Understanding the Weissenberg diagram involves knowledge of crystallography and rotation-oscillation methods. The passage also explains that the vector w lies in the y'z' plane indicating that the vector has no x-component, as mentioned by Wx' = 0. When solving problems like these, it's important to follow vector addition rules and define your axis system correctly, as in the statement that defines +x to be eastward and +y to be northward, which is related to navigation and mapping conventions.

Figures from MIT OCW suggest that the concept of 'contour lines' and their relationship to topographical features such as valleys and ridges is also being examined.

Answer:4.95

Step-by-step explanation:

so you multiply (13*8) because its k*t and then the bottom of the formula is 13+8 because its k+t so 13*8 equals 104 and 13+8 is 21 then you divide 104/21=4.95

Answer:

Bryce purchased 3 games.

Step-by-step explanation:

To find the number of songs and games that Bryce downloaded, we need to solve the following system of equations:

s + g = 8

2s + 5g = 25

We know that:

s + g = 8 → 2s + 2g = 16 → 2s = 16 -2g

2s + 5g = 25 → 16 - 2g + 5g = 25

→3g = 25 - 16

→3g = 9

→ g = 3

Therefore, bryce downloaded 3 games and 5 songs!

Answer:      3

dont forget to thank and rate plz!!!

also plz may u mark me as brainliest!! : )  ):

Answer:

v-5u = <13,-35>

||v − 5u|| = 37.33

Step-by-step explanation:

If u = <-4, 8> and v = <-7, 5>

a) v-5u

Multiply u with 5 and then subtract from v

v-5u = <-7,5>-5<-4,8)>

v-5u = <-7,5> - <-20,40>

v-5u = <-7+20,5-40>

v-5u = <13,-35>

b) ||v − 5u||

We already have found v-5u=<13,-35>

Now, we will find ||v − 5u|| = [tex]\sqrt{(v)^2+(u)^2}[/tex]

||v − 5u|| = [tex]\sqrt{(13)^2+(-35)^2}[/tex]

||v − 5u|| = [tex]\sqrt{169+1225}[/tex]

||v − 5u|| = [tex]\sqrt{1394}[/tex]

||v − 5u|| = 37.33

By multiplying vector 'u' by the scalar 5 and subtracting it from 'v', we derive the resultant vector <13,-35>. The magnitude of this vector is approximately 37.36 units.

The question involves vector operations, specifically the subtraction of a scalar multiple of a vector from another vector. Let's break down the process. First, multiply vector 'u' by the scalar 5, resulting in: 5u = <5*(-4),5*8> = <-20,40>. Next, subtract this new vector from 'v': v - 5u = <-7,5> - <-20,40> = <(-7)-(-20), 5-40> = <13,-35>. That's the result for v-5u.

To find the magnitude of a vector, we use the formula ||v||= sqrt(x^2 + y^2). So ||v - 5u|| = sqrt((13)^2 + (-35)^2) = sqrt(169 + 1225) = sqrt(1394) ≈ 37.36.

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Answer:

Figure M

Step-by-step explanation:

Figure P has vertices at points (-2,4), (-2,8), (-6,8) and (-6,6).

Consider figure M with vertices (-4,-4), (-4,-8), (-8,-8) and (-8,-6).

1. Translate figure M 2 units to the right. This translation has the rule:

(x,y)→(x+2,y),

so

2. Reflect the translation image figure M across the x-axis according to the rule

(x,y)→(x,-y)

Thus,

Answer:

1055.04

Step-by-step explanation:

Cylinder

h = 16 cm

r = 5 cm

Volume = ?

Formula

V=pi * r^2 * h

Solution

V = pi r^2*h

V = 3.14 * 5*5*16

V = 1256 cm^3

Cone

h = 12 cm

r = 4 cm

Formula

V = (1/3) pi r * r * h

Solution

V = (1/3) 3.14 * 4 * 4 * 12

V = (1/3) 602.88

V = 200.96

Answer

Volume of unoccupied region = Cylinder - Cone

Volume of unoccupied region = 1256 - 200.96

Volume of unoccupied region = 1055.04

You will have to round it to the number of digits required.

Answer:

The number of men = 108

Step-by-step explanation:

Total person = 396

ratio of women to men = 2:3

ratio of men to children = 1:2=2:4=3:6

Women = 2

Men = 3

Children = 6

Hence,

women+men+children = 2+3+6 = 11

Now finding out the percentage of each

Women = 2/11 * 396

= 792/11

=72

Men = 3/11 * 396

=1188/11

=108

Children = 6/11 *396

=2376/11

=216

Thus the number of men = 108 ....

Let m = slope

m = (0-2)/(0-7)

m = -2/-7

m = 2/7

y - 0 = (2/7)(x - 0)

y = (2/7)x

Did you follow?

The equation of the line for the given coordinates [tex](7,2) , \ (0,0)[/tex] is equal to [tex]y= \frac{2}{7}x[/tex].

"Equation is defined as the relation between the variables using the sign of equality."

Formula used

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

Equation of line passing through a point

[tex]y- y_{1} = m (x- x_{1})[/tex]

According to the question,

Given coordinates,

[tex](x_{1} ,y_{1}) = (7,2)\\\\(x_{2} ,y_{2}) = (0,0)[/tex]

Substitute the value in the formula to get slope,

[tex]m = \frac{0-2}{0-7}[/tex]

   [tex]= \frac{2}{7}[/tex]

Substitute the value in the formula to get equation of the line,

[tex]y-2= \frac{2}{7} (x-7)\\\\\implies y-2 = \frac{2}{7}x -2\\ \\\implies y = \frac{2}{7}x[/tex]

Hence, the equation of the line for the given coordinates [tex](7,2) , \ (0,0)[/tex] is equal to [tex]y= \frac{2}{7}x[/tex].

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[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we also know that }~~ \begin{cases} y=-4\\ x=8 \end{cases}\implies -4=k(8)\implies \cfrac{-4}{8}=k\implies -\cfrac{1}{2}=k \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y=-\cfrac{1}{2}x~\hfill[/tex]

Answer:

k = -1/2

y= -1/2x

Step-by-step explanation:

y = kx

We know y = -4 and x=8

-4 = k*8

Divide each side by 9

-4/8 = 8k/8

-1/2 =k

y= -1/2x

Answer:

6.5

Step-by-step explanation:

For this case we must perform a conversion of milliliters to ounces.

By definition we have to:

1 US liquid ounce equals 29.5735 milliliters. Then, making a rule of three:

1 oz. ---------> 29.5735 milliliters

x -------------------> 650 milliliters

Where "x" represents the number of oz equivalent to 650 mL.

[tex]x = \frac {650 * 1} {29.5735}\\x = 21.9791[/tex]

Thus, 650 mL equals 21.9791 oz.

Answer:

650 mL equals 21.9791 oz.

Answer:

7x² + 5x

Step-by-step explanation:

Given

(9x² + 8x) - (2x² + 3x) ← distribute parenthesis, second by - 1

= 9x² + 8x - 2x² - 3x ← collect like terms

= (9x² - 2x² ) + (8x - 3x)

= 7x² + 5x

Distribute the negative sign:

[tex](9x^2+8x)-(2x^2+3x)=9x^2+8x-2x^2-3x[/tex]

Gather like terms:

[tex]9x^2+8x-2x^2-3x = (9x^2-2x^2) + (8x-3x) = 7x^2+5x[/tex]

Answer:

C.

Step-by-step explanation:

If f(c)=0 then (c,0) is on the graph.

In general, if f(a)=b then (a,b) is on the graph.

By factor theorem if f(c)=0 then x-c is a factor.

If x-c is a factor then x-c will divide f(x) evenly.  We know this because the remainder will be 0 because we know x-c is a factor of f.

The only choice that I have said in this whole thing that is true is C.

Answer:  The correct option is

(C) x-c is a factor of f(x).

Step-by-step explanation:  Given that for a function f(x), f(c) = 0.

We are to select the true statement from the given options.

We have the factor theorem as follows :

Factor theorem :  If p(a) = 0 for a polynomial function p(x), then (x-a) is a factor of p(x).

According to the given information, we have

f(c) = 0.

Therefore, (x-c) is a factor of f(x).

Thus, (C) is the correct option.

Answer:

True

Step-by-step explanation:

Since 1 km is 1000 metres that is the correct ratio to use

1 : 1000

( × 10 to get 10 km )

10 : 10000

Answer:

Step-by-step explanation:

Let's actually do the work:

10 km     1000 m

--------- * --------------- = 10^4 m

    1            1 km

Answer:  TRUE

Answer:

Option B is correct.

Step-by-step explanation:

Nico surveyed 300 new car buyers at the auto mall and found that 75% of the buyers were shopping for the same model of a car they have owned before.

This is 225 customers out of 300.

When people are satisfied with their car's current company and brand and model, they can prefer the same thing again for the same better experience. But this is not 100% proven. We can only say that there may be a link between the two things.

Hence, the conclusion that can be drawn here is :

B. There may be a link between owning a model of a car and buying that model again, but he cannot draw a cause-and-effect conclusion from an observational study.

The conclusion of the given study is that; Option B

We are told that;

Number of new cars Nico surveyed = 300

Percentage of buyers that surveyed the new cars = 75% .

Thus, number of customers surveying this cars = 75% * 300 = 225 customers

If people are satisfied with their car's current company and brand and model,it means that they can also prefer the same thing again for the same better experience. Thus, the conclusion is that;

B. There may be a link between owning a model of a car and buying that model again, but he cannot draw a cause-and-effect conclusion from an observational study.

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The new line with the equation y = 2x + 6 will be less steep than the original line y = 4x + 1 due to its lower slope, and will start higher on the y-axis with a y-intercept of 6 compared to the original line's y-intercept of 1.

When comparing the graph of the equation y = 4x + 1 with the new graph of the equation y = 2x + 6, there are two main features to consider: slope and y-intercept. For the original line, the slope is 4, meaning that for every one unit increase in x, y increases by 4 units.

The y-intercept, where the line crosses the y-axis, is at (0,1). On the other hand, the new line has a slope of 2, which indicates a less steep incline; for every one unit increase in x, y increases by only 2 units. Additionally, the y-intercept of this new line is at (0,6), which is higher on the y-axis as compared to the original line.