Which fact is not used to prove that abc is similar to dbe? the sum of angles a and b are supplementary to angle c. Segments ac and de are parallel. Ab is a transversal line passing ac and de. Angle b is congruent to itself due to the reflexive property.

The vertical distance of the balloon from the ground will be 960.50 feet.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.

From a sight-seeing balloon, Justin estimates a 34° point of sadness to a milestone that is 1424 feet away, estimating on a level plane.

The vertical distance of the balloon from the ground will be given as,

tan 34° = h / 1424

Simplify the equation, then we have

h = 1424 tan 34°

h = 960.50 feet

The upward distance of the inflatable starting from the earliest stage is 960.50 feet.

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Melinda will have painted 56 percentage of a wall for the time taken by Desiree, when she has finished painting 1 wall.

The computation of the difference between the time taken by Desiree and Melinda to paint walls at their respective speeds can be shown using the generalized calculations, as expressed hereunder,

Desiree will take 4x the time for painting 1 wall completely (25x4=100%). Thus, the amount of time taken by Melinda will also be 4x of her actual time, as below,

14×4= 56%

Therefore, Melinda will have covered 56 percent of the wall in the time when Desiree completes painting the entire wall.

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Formula 1 (F1)  is the racing organization which saw its television rating increase 28% over 2021 to a season average of 1.2milion viewers.

Formula 1 (F1) season US Television viewership records,season race audience average is 1.21 million up 28% over record sets in 2021.Formula 1 (F1) breaks record for tv audience size in USA,Twelve of 22 races set in USA in which race more females and youngers viewers,As television viewership record fell by the wayside all year in 2022 the formula 1 world championship season ended as the most viewed over USA television,in addition more females and youngers viewers F1 races on USA television than ever before.

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Answer:

[tex]\textsf{a)} \quad \dfrac{1}{2}[/tex]

[tex]\textsf{b)} \quad -2[/tex]

[tex]\textsf{c)} \quad a = -4,\;\; a = 6[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{9cm}\underline{Gradient Formula}\\\\Gradient $=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.\\\end{minipage}}[/tex]

Given points:

Substitute the given points into the gradient formula to find the gradient of line PQ:

[tex]\textsf{Gradient}=\dfrac{-a-(a-2)}{(4-3a)-a}=\dfrac{-a-a+2}{4-3a-a}=\dfrac{2-2a}{4-4a}=\dfrac{2(1-a)}{4(1-a)}=\dfrac{2}{4}=\dfrac{1}{2}[/tex]

If two lines are perpendicular to each other, their gradients are negative reciprocals.

Therefore, the gradient of a line perpendicular to PQ is:

[tex]\implies \textsf{Gradient}=-2[/tex]

[tex]\boxed{\begin{minipage}{7.4 cm}\underline{Distance between two points}\\\\$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$\\\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the two points.\\\end{minipage}}[/tex]

Substitute the points and the given distance 10√5 into the formula and solve for a.

[tex]\implies 10\sqrt{5}=\sqrt{((4-3a)-a)^2+(-a-(a-2))^2}[/tex]

[tex]\implies 10\sqrt{5}=\sqrt{(4-3a-a)^2+(-a-a+2)^2}[/tex]

[tex]\implies 10\sqrt{5}=\sqrt{(4-4a)^2+(2-2a)^2}[/tex]

[tex]\implies 500=16-32a+16a^2+4-8a+4a^2[/tex]

[tex]\implies 500=20a^2-40a+20[/tex]

[tex]\implies 25=a^2-2a+1[/tex]

[tex]\implies a^2-2a-24=0[/tex]

[tex]\implies a^2-6a+4a-24=0[/tex]

[tex]\implies a(a-6)+4(a-6)=0[/tex]

[tex]\implies (a+4)(a-6)=0[/tex]

Apply the zero-product property:

[tex]\implies a+4=0 \implies a=-4[/tex]

[tex]\implies a-6=0 \implies a=6[/tex]

Therefore, the two possible values of a are:

Answer:

i think its just 46+26

Step-by-step explanation:

sorry if im wrong

The division of the two numbers in scientific notation 5.07 × 10⁹ ÷ 1.087 × 10⁻⁴ is 4.664 × 10¹³

Scientific notation is a means in which we use to represent numbers based on a standard measure.

In this problem, we have to perform a mathematical operation with two numbers expressed in scientific notation.

To divide 5.07 × 10⁹ by 1.087 × 10⁻⁴;

We need to divide 5.07 by 1.087

The result given is 5.07 ÷ 1.087 = 4.664

The second step is to note that when 10⁹ ÷ 10⁻⁴,

Using law of indices, it becomes 10⁹ ÷ 10⁻⁴ = 10⁽⁹⁺⁴⁾ = 10¹³

We can now rewrite our answer as

5.07 × 10⁹ ÷ 1.087 × 10⁻⁴ = 4.664 × 10¹³

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I think that's about right...

Just copy the image down onto your paper

Answer:

I am so sorry I'm doing this for the 'Help other's' task

Answer:

The answer will be x ≤ 3/2

The domain of a function is the set of numbers that can go into a given function.

The set of input values (x) for which a function generates an output value is known as the domain of the function (y).

we can write [tex]y = f(x).[/tex]

domain is the full set of x-values that can be plugged into a function to produce a y-value.

The most effective approach to finding a domain will depend on the type of function.

The domain is expressed using an open bracket or parenthesis, the domain's two endpoints separated by a comma, and then a closed bracket or parenthesis.

To find domain of function we should know the property of that function like what the function can take inside it.

Like if we consider square root function [tex]\sqrt{x}[/tex] so inside root negative numbers are not allowed so value of x should be positive means x>=0

So domain of square root function [0, ∞).

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Answer: The numbers of flowers she could have picked are 21, 24, 27, 30, 33, and 36.

Why?: These are all multiples of 3 between 20-40.

The value of test statistic for test of independence is 62.5

The Chi-square test of independence checks that two variables are related or not. We have to count for two nominal variables. We also believe that the two variables are unrelated. The test allows us to determine whether or not our idea is plausible.

The sections that follow go over what we need for the test, how to perform it, understanding the results, statistical details, and p-values.

Given,

the table shows the beverage preferences for random samples of teens and adults.

For calculating the test statistics,

First wee need to calculate the expected values of every observed values.

Expected values for teens,

[tex]E(50)=\frac{250*400}{1000}=100\\\\E(100=)\frac{250*400}{1000}=100\\\\E(200)=\frac{400*400}{1000}=160\\\\E(50)=\frac{100*400}{1000}=40[/tex]

Expected values for adults,

[tex]E(200)=250-100=150\\\\E(150)=250-100=150\\\\E(200)=400-160=240\\\\E(50)=100-40=60[/tex]

Now, the test statistic is given by:

[tex]X^2=\frac{\sum\limits^n_{i=1}(O_i-E_i)^2}{E_i}[/tex]

Where, Ei=expected value and Oi = observed value

[tex]X^2=\frac{(50-100)^2}{100}+\frac{(100-100)^2}{100}+...\frac{(200-240)^2}{240}+\frac{(50-60)^2}{60}=62.5[/tex]

So, the value of test statistic for this test independence is 62.5.

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Your question is incomplete, here is the complete question

The table below gives beverage preferences for random samples of teens and adults.

                  teens adults total

coffee      50 200        250

tea              100 150        250

soft drink      200 200        400

other       50 50        100

                     400 600        1000

we are asked to test for independence between age (i.e., adult and teen) and drink preferences. the test statistic for this test of independence is ?

Answer:

B: 25

Step-by-step explanation:

We want to find 1875/75. 1875=1800+75

So, 1875/75=(1800+75)/75=24+1=25

Using the percentage by volume of the solutions, we can calculate that we require 216 mL of 100% alcohol and 384 mL of 50% alcohol.

Volume/volume percentage is a unit used to represent how much of a substance is present in a solution.

It is sometimes referred to as v/v percent or %v/v.

It is calculated by dividing the volume of the solute by the total volume of the solution, then multiplying the result by 100.

So, we are aware of:

A + B = 600 mL

We also know that the total alcohol concentration of the final solution must be equal to:

0.68 * 600 mL = 408 mL

Therefore, it follows that:

0.50 * A + B = 408 mL

The first equation leads to the following conclusion:

A = 600 mL - B

Using that A in the second equation, we arrive at:

0.50 * (600 mL - B) + B = 408 mL

300 mL - 0.50 B + B = 408 mL

If we rewrite this equation as follows:

B - 0.50 * B = 408 mL - 300 mL

0.50 * B = 108 mL

B = 108 mL / 0.50

B = 216 mL

A = 600 mL - 216 mL = 384 mL

Therefore, using the percentage by volume of the solutions, we can calculate that we require 216 mL of 100% alcohol and 384 mL of 50% alcohol.

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Complete question:
A factory has a batch of hand sanitizer with 50\%50%50, percent alcohol content. How much pure (100\%100%100, percent concentration) alcohol should they include in a 600\,\text{mL}600mL600, start text, m, L, end text bottle to make a 68\%68%68, percent mixture?

Answer:

b=3   (PLEASE GIVE BRAINLIYEST)

Step-by-step explanation:

11/4=-1/4+b

12/4=b

b=12/4

b=3/1

b=3

Answer:

Christianity bc its the earliest for everything

write the factors out with reverses signs like this

y = (x+3/2)(x)(x-2)

solve for x = 1

y = -2.5

what can we add to this to get 3

5.5

so

y = (x+3/2)(x)(x-2) + 5.5

at x = 1, y = 3

Hope this helps :)

If you need any more explanation, feel free to ask.  If this really helps, consider marking brainliest.

- Jeron

The equation is 128 + 2x = 180.

The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.

Corresponding angles are equal.

We have,

The sum of the same-side interior angles between two parallel lines is supplementary

This means,

128 + 2x = 180

2x = 180 - 128

2x = 52

x = 26

Thus,

The value of x is 26.

The equation is 128 + 2x = 180.

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Answer:  4

Step-by-step explanation:

-1+-10 is -11

5+2 is 7

-11+7 is 4

According to the given image, the given function is increasing at (C) x > 2.

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X.

The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

The relationship between the input or domain and the output or range is known as the function rule.

If and only if there is a single value in the range for each domain value, a relation is a function.

A function is denoted by the notation f x, where x is the input value.

A function has the general form y = f x.

So, let's consider the given image:

The function is increased from the point +2 on the x-axis.

Which can be the point x > 2.

Therefore, according to the given image, the given function is increasing at (C) x > 2.

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Complete question:
Where is the function increasing?

a. The function increases when x > 0

b. The function increases when x > 1

c. The function increases when x > 2

d. The function increases when x > -3

The expression should be substituted into the first equation is "x = 8 -2y"  and also the value of x = 3 and y = 2.5

What do you mean by substitution?

The substitution method is an algebraic strategy for resolving simultaneous linear equations. This approach, as the name suggests, involves substituting the value of one variable from one equation into the second equation. This makes it easier to answer a pair of linear equations by combining them into a single equation with a single variable.

The equations given in the question,

2x - 4y = -4

x + 2y = 8

Let these two equation be named as 1 and 2 respectively.

Taking equation 2 and making x stay one side and all others on other side of the equation. We get,

x = 8 -2y

Substituting this value of x in equation 1.

2x - 4y = -4

2(8 - 2y) - 4y = -4

y = 2.5

substituting this value of y in equation 2,

x + 2y = 8

x = 8 - 5

x = 3

Therefore, The expression should be substituted into the first equation is "x = 8 -2y"  and also the value of x = 3 and y = 2.5

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Complete Question

Using substitution to solve the system below, what expression should be substituted into the first equation? 2x-4y=-4 and x+2y=8

To find the unit rate for Start Fraction 182 dollars Over 14 feet End Fraction,

c. divide both 182 and 14 by 182.

A fraction is a mathematical concept that refers to a component of a whole or, more broadly, any number of equal parts.

An element of the whole is a fraction. The number is shown as a quotient in mathematics, where the numerator and denominator are split.Both are integers in a straightforward fraction. In the numerator or denominator of a complex fraction is a fraction.

Step 1: Divide 182 by 182

182 / 182 = 1

Step 2: Divide 14 by 182

14 / 182 = 0.07660818713450292

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Answer:

--------------------

a. Diagonals of parallelograms bisect each other

b. Parallelograms have four congruent sides

c. Isosceles triangles have 3 congruent angles

d. If the endpoints of a line segment are equidistant from a third point, that third point lies on the perpendicular bisector of the line segment.

Adjacent angles of a parallelogram are supplementary and opposite angles are congruent.

Find x:

There are 365 more general parking spots than accessible parking spots.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, the ratio of accessible parking spots to general parking spots is 2:75.

A parking lot is designed to hold 385 parking spots.

So, 2+75=77

Number of general parking spots

= 75/77 ×385

= 75×5

= 375

Number of accessible parking spots

=2/77 ×385

= 10

Now, difference =375-10

= 365

Therefore, the number general parking spots than accessible parking spots are 365.

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Answer:

Step-by-step explanation: I think its the second one

The lines are taken from the short story 'The Yellow Wallpaper'. The woman stops mentioning the wallpaper to others because she feels suspicious about it.

The short story summarizes a woman who is suffering from nervous depression and what happens when she comes in contact with wallpaper in her new house which she thinks is alive. Throughout the entire story, the narrator expresses how the woman feels, how she thinks the wallpaper is alive and that it can cause harm to her.

At first glance, she feels that it is ugly, and to get better she describes the entire house. She feels very disturbed when she sees the wallpaper in her bedroom and it makes her feel strange. She becomes so obsessed with the wallpaper to such an extent that she feels like it is the shape of a woman who is alive.

She becomes possessive and feels that the woman in the wallpaper is moving through the entire house so she starts biting and tearing the wallpaper to free the women trapped inside. The entire story mentions the mental health of the women.

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The measure of a° is 144°.

The measure of b° is 67°.

A trapezium is a quadrilateral where 1 pair of sides are parallel and the sum of angle pairs between parallel lines is 180 degrees.

We have,

Two parallel lines.

The sum of the angle pairs between parallel lines = 180°

This means,

a + 36 = 180

a = 180 - 36

a = 144

b + 113 = 180

b = 180 - 113

b = 67

Thus,

The value of a° is 144°.

The value of b° is 67°.

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Answer: 4/5

Step-by-step explanation:

Let's start with what we know:

4 blue

6 red

10 purple

5 green

So, we have 25 total and 5 green. But we are trying to find the probability it won't be green, in which we have 20 marbles. So the probability it won't be green is 20/25 = 4/5.

Answer:

[tex]x= -\sqrt19 -4\\x=\sqrt19-4[/tex]

Decimal version: [tex]x= 8.3589 \\x=0.358899[/tex]

Step-by-step explanation:

1. Move the terms

[tex]x^{2} +10x-2x=5-2[/tex]

2. Collect like terms

[tex]x^{2} +8x=5-2\\x^{2} +8x=3[/tex]

3.  Complete the square, you should get

[tex]x^{2} +8x+16=3+16\\(x+4)^{2} =19[/tex]

4. Solve for X