Need help pleaseeeeeer

Applying the definition of perpendicular bisector, the value of x is: 10.

A perpendicular bisector can be defined as any line segment that bisects another line segment. That is, it divides another line segment into two equal parts having the same length.

Since AD is the perpendicular bisector of BD, then, BD = DC.

BD = 5x - 10

DC = 3x + 10

Substitute

5x - 10 = 3x + 10

Combine like terms

5x - 10 + 10 = 3x + 10 + 10 [addition property of equality]

5x = 3x + 20

5x - 3x = 3x + 20 - 3x [subtraction property of equality]

2x = 20

Divide both sides by 2

2x/2 = 20/2 [division property of equality]

x = 10

The value of x is 10.

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There were three orange sweets in the given packet.

What is ratio and how can it be assessed?
A ratio is the comparative or condensed form of two quantities of the same type. We may determine how many times one quantity is equal to another using this relationship. The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects. A ratio is indicated by the symbol ":".

Given, the ratio of purple to orange sweets = 4 : 1
Total number of sweets including both purple and orange = 15 -(i)
Let x be the ratio constant for the given ratio.
Therefore, number of purple sweets = 4x -(ii)
Also, the number of orange sweets = 1x = x -(iii)
From (i), (ii) and (iii), we get, 4x + x = 15 ⇒ 5x = 15 ⇒ x = 3
Putting the value of x in (ii), we get number of purple sweets = 4x = 12
Putting the value of x in (iii), we get number of orange sweets = x = 3
Thus, there were three orange sweets in the given packet.

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It is essential that Dr. Gordan searches for an area that is equivalent to 48,000 ft2, and he will look for it.

This is further explained below.

Generally,  As stated in the preceding inquiry, The scale that Dr. Gordan uses

2 in = 100 ft

⇒1 in = 50 ft

A portion measuring 6 inches by 3.2 inches is highlighted by Dr. Gordon.

6 inches of length

= ( 6 × 50 )ft

= 300ft

3.2 inches in width

= ( 3.2 × 50 )

= 160ft

The total area of the section may be calculated as follows:

area = (length x width)

= 300 × 160

= 48,000 ft²

As a result, the needed search area for the portion that Dr. Gordan will conduct is equivalent to 48,000 feet squared.

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We have

A=7632m^2

the formula of the area of a rectangle

where l is the length and w is the width

in our case we have

l=99m

then we substitute the values given in the formula

we need to isolate the w in order to find the value of the width

the width is 77.09m

EXPLANATION

If the volume of the cone is of V=448m^3 and it is dilated by a scale factor of 1/4, the resulting volume would be as shown as follows:

Answer:

x = 12 and y = (3/2)

Step-by-step explanation:

"Y varies directly as x," can be written as:

y = mx

The connecting law is m, which relates how much y will change for a change in x.  m is given by:

m = y/x

To find m, the slope, use the two given values for x and y:

m = y/x

m = 3/4

This yields:

y = (3/4)x

Now we can find:

X when y=9:    

y = (3/4)x

9 = (3/4)x

x = (4/3)*9

x = 12

Y when x=2:  

y = (3/4)x

y = (3/4)*2

y = (3/2)

Answer:

1)

1/2 does not belong to the set

All other numbers belong to the Integers (Z).

2)

√7 does not belong to the set.

All other numbers are rational numbers (Q).

The  Volume  of  the cube is  [tex]$$\left(64 x^6+144 x^4+108 x^2+27\right)\\[/tex].

[tex]we \ know \that \ The \ volume \ of \ a \ cube \ is \ equal \ to \ $$V=s^3$$[/tex]

[tex]$$ where$s$ is the length side of the cubeIn this problem we have$$s=\left(4 x^2+3\right)$$Substitute$$V=\left(4 x^2+3\right)^3$$Remember that$$\begin{aligned}&\left(4 x^2+3\right)^3=\left(4 x^2+3\right)^2\left(4 x^2+3\right) \\&\left(4 x^2+3\right)^2\left(4 x^2+3\right)=\left[16 x^4+24 x^2+9\right]\left(4 x^2+3\right) \\&=64 x^6+48 x^4+96 x^4+72 x^2+36 x^2+27\end{aligned}$$Combine like terms$$=64 x^6+144 x^4+108 x^2+27$$[/tex]

In geometry, a cube is a three-dimensional solid object bounded by six square faces, faces or sides,  three of which meet at each vertex.

The cube is the only regular hexahedron and  one of the five Platonic solids. It has 6 faces, 12 edges and 8 vertices.

A cube is also a square parallelepiped, an equilateral cube and a right rhombohedron 3-ribbed. It is a regular square prism in three directions and a triangular trapezoid in four directions.

A cube is a double point with an octahedron. It has cubic or octahedral symmetry.

A cube is the only convex polyhedron that has all its faces square.

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Answer:

0.45 miles per minute

Step-by-step explanation:

Look at the units:  miles per hour is miles/hour

miles       hour         miles

-----   *     -------  =  ---------

hour       minute      minute

(27 miles/hour)(1/60 hours/minute) = 27/60

= 9/20 = 0.45 miles per minute

The standard form of the line with x-intercept of 6 and y-intercept of 5 is

5x + 6y = 30

The equation in standard form can be represented as follows:

Ax + By = C

Where

Therefore, let's find the standard form of the equation with x -intercept of 6 and y-intercept of 5.

The x-intercept is the value of x when y = 0 and the y-intercept is the value of y when x = 0.

Therefore,

(6, 0)(0, 5)

using the form y = mx + b

where

m = 5 - 0 / 0 - 6

m = - 5  / 6

Therefore,

y = - 5 / 6 x + 5

5  /6 x + y = 5

multiply through by 6

Therefore,

5x + 6y = 30

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Answer:

r=-1

Step-by-step explanation:

- 3 ( 1 + 6 r ) = 14 - r

-3-18r=14-r

-3-18r+r=14

-3-17r=14

-17r=14+3

-17r=17

r=-1

The length of line segment (10.8, -5.3) and (-15.6, -5.3) is 26.4

since both points lie on the same horizontal line (same y-coordinate), we can record the detour using the Pythagorean approximation. to get the distance we just need to look at the difference in x-coordinates:

10.8 - (-15.6 )= 10.8 +15.6 = 26.4

A segment is bounded by two distinct points on a line. Or we can say that a line segment is a part of a line that connects two points. A straight line has no endpoints and extends indefinitely in both directions, but a  segment has two fixed or specified endpoints. The difference between a  segment and a ray is that a ray has only one end point and one end extends to infinity. Section with two endpoints A and B and marked with a bar symbol (-)

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Answer:

perpendicular to what

Step-by-step explanation:

The equation of the parabola is y = -5x^2 + 3

The points and the vertex represent the given parameters

From the question, we can see that the equation is a parabola

A parabola function is represented as

y = a(x - h)^2 + k

Where

Vertex = (h, k)

Point = (x, y)

From the question, we have

Vertex = (h, k) = (0, 3)

Point = (x, y) = (1, -2)

So, we have

y = a(x - 0)^2 + 3

Evaluate

y = ax^2 + 3

Using the point, we have

-2 = a(1)^2 + 3

This gives

a = -5

So, we have

y = ax^2 + 3

y = -5x^2 + 3

Hence, the equation is y = -5x^2 + 3

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Mark had to pay 70 percent of the original price.

What is percent?

A % in mathematics is a quantity or ratio that is stated as a fraction of 100 (from the Latin per centum, "by a hundred"). Even though the acronyms "pct.", "pct.", and even "pc" are also employed the percent symbol, "%," is frequently used to indicate it. A percent lacks dimensions and has no associated unit of measurement. The ratio's numerical value is multiplied by 100 to obtain the percent value. The Latin word per centum, which means "hundred" or "by the hundred," is where the word "percent" originates. The Italian word per cento, which means "for a hundred," gradually shrank to become the symbol for "percent."

Mark paid = $385

Original price = $550

Percent what Mark pay = (385/550) x 100 percent

                                       = 70 percent

Hence, Mark had to pay 70 percent of the original price.

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Answer:

y = -4x + 17

Step-by-step explanation:

formula

y - y1 = m ( x - x1)

y - 1 = -4 ( x - (-4))

y - 1 = -4 ( x - (-4))

y - 1 = -4 ( x + 4)

y - 1 = -4x - 16

y = -4x + 17

Answer:
yes

Step-by-step explanation:

−8 ≤ 4(3)− 7

−8 ≤ 12-7

−8 ≤ 5 it works

a. Noah will have money in the account after 9 yrs is $4900.

b. Noah has earned interest from this account after 9 years is 22.5%.

What is compound interest?

Compound interest is when interest on a loan, investment, or savings account grows exponentially over time rather than linearly.

Formula to calculate simple interest

I = Prt

Where, I = Simple interest

t = time

r = earned interest

P = Compound interest

Here, we have

P = $4000, r = 2.5%, t = 9 years

By applying the compound interest formula, we get

I = 4000×0.025×9

= 900

The total amount after 9 years is 4000+900= 4900

Hence,

a. Noah will have money in the account after 9 yrs is $4900.

b. Noah has earned interest from this account after 9 years is 22.5%.

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The correct first step for solving the equation 3(x+8) = 42 is (3×x)+(3×8) = 42.

For the given equation;

3(x+8) = 42

The first step will be to open the parenthesis, and multiply each term with 3.

(3×x)+(3×8) = 42.

Thus, the first step to solve the linear equation is  (3×x)+(3×8) = 42.

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In linear equation, 65% of the people surveyed were satisfied with the​ car.

What is linear equation in math?

total people = 3300

car repeater = 1650

In general to find %, divide the subset by the total amount and multiply by 100:

2145 / 3300 * 100 = 65%

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Answer:

0

Step-by-step explanation:

If they want the values of where the graphs intersect, that means the values are both = to each other, meaning subtracting the same value by the same value is 0

The number of possible outcomes exists 21952. The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Probability exists a branch of mathematics that deals with numerical representations of the likelihood of an event happening or of a proposition being true. The probability of an event exists a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.

Given:

A 28-sided die is rolled 3 times.

28 × 28 × 28 = 21952.

Therefore, the number of possible outcomes exists 21952.

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In a set of ordered pairs,

To be considered a function, each x-value must be paired with a corresponding UNIQUE y-value.

We want to select the "relation" from the choices, not the function.

A. Represents a function. Each x value paired with unique y value.

B. Doesn't represent a function. "4" is paired up with mutliple values of y.

C. Represents a function. Each x value paired with unique y value.

D. Represents a function. Each x value paired with unique y value.

Answer:

Infinitely many solutions

Step-by-step explanation:

substituting  [tex]y=-3x+10[/tex]  into  [tex]3x+y=10[/tex]  we get:

[tex]3x-3x+10=10\\\\0+10=10\\\\0=0[/tex]

Since it is equal to itself there are infinitely may solutions to this problem

Answer:

$45.85 for 6 hours

Step-by-step explanation:

The probability that a bowling ball chosen at random would be discarded because it is too heavy to use is 0.3204.

The population's mean weight (μ) is equal to 14.6 pounds.

The standard deviation (σ) is equal to 3 pounds.

Assuming a normal distribution, the corresponding z-score for each given weight "X" is calculated as follows:

z = (x - µ)/σ

For X = 16 pounds:

z = (16 - 14.6)/3

z = 0.4667

A z-score of 0.4667 is equivalent to the 67.96-th percentile of the distribution. The probability of a ball being discarded is:

P(z > 0.4667) = 1 - 0.6796 = 0.3204

The probability that a randomly selected bowling ball is discarded due to being too heavy to use is 0.3204 or 32.04%.

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Answer:

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An alloy contains 15% manganese and 85% iron.

manganese/ iron = 15/85= 3/17.

manganese = 37.5 kg.

iron = 37.5 x 17/ 3= 212.5 kg

alloy = manganese + iron = 37.5 +212.5 = 250kg

250kg alloy is produced from 37.5 kg manganese and 212.5 kg Iron.

here,

An alloy contains 15% manganese and 85% iron.

manganese/ iron = 15/85= 3/17.

manganese = 37.5 kg.

iron = 37.5 x 17/ 3= 212.5 kg

alloy = manganese + iron = 37.5 +212.5 = 250kg

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Answer:

1.  [tex]\frac{3}{4}[/tex] or 0.75

2.  x = 2

3.  True

4.  x = [tex]\frac{1}{3}[/tex]

5.  c

6.  b

7.  See picture

8.  a

9.  17

10. 8

Step-by-step explanation:

Too many to explain all but ask for anything specific