WILL GIVE BRAINLIEST
Dillon's hot air balloon decreased its elevation by 18 feet every second. How long will it take him to descend from an altitude of 378 feet?

The statement that would help to show that ∠2 ≅ ∠4 include the following: B) ∠1 is supplementary to ∠2 and ∠1 is supplementary to ∠4

What is a supplementary angle?

In Mathematics and Geometry, a supplementary angle simply refers to two (2) angles or arc whose sum is equal to 180 degrees.

Additionally, the sum of all of the angles on a straight line is always equal to 180 degrees. In this scenario, we can reasonably infer and logically deduce that the sum of the given angles are supplementary angles:

m∠1 + m∠2 = 180° (Linear pair theorem).

m∠1 + m∠4 = 180° (Linear pair theorem).

Read more on supplementary angle here: https://brainly.com/question/28908897

#SPJ1

Complete Question:

Consider the diagram of two intersecting lines and the angles that are formed.

Which statement will help to show that ∠2≅∠4?

a.)∠1 is complementary to ∠2,and ∠1 is complementary to ∠4.

b.) ∠1 is supplementary to ∠2, and∠1 is supplementary to ∠4.

c.) m∠1+m∠3=90°.

d.) ∠1 is vertical to ∠2, and ∠1 is vertical to ∠4.

the function value f(14) = 4.8.

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function if one were mapped to a single value instead. Additionally, output values can be equal to input values.

The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.

f(1)= 10

f(21)= 2

Let the function f(x) = ax+b

f(1)= 10 = a+b

f(21)= 2 = 21a +b

20a = -8

a=-8/20

b = 208/20

f(14) = 14*(-8/20)+208/20 = 4.8

Hence the function value f(14) = 4.8.

Learn more about function, by the following link.

https://brainly.com/question/25638609

#SPJ1

By using the concept of supplementary angle, it can be calculated that

The two angles are 47° and 133°

What are supplementary angles?

At first it is important to know about angle.

When two straight lines intersect, an angle is formed. The point of intersection is called the vertex of the angle and the lines are called the arms of the angle.

Two angles are said to be supplementary if the sum of the angles is 180°

Let one angle be x

Other angle = 180 - x

The supplement of an angle is 8 less than three times the measure of the angle

By the problem

180 - x = 3x - 8

3x + x = 180 + 8

4x = 188

x = \(\frac{188}{4}\)

x = 47°

Other angle = 180 - 47 = 133°

The two angles are 47° and 133°

To learn more about supplementary angles, refer to the link-

https://brainly.com/question/12919120

#SPJ1

The given lines of equations are not perpendicular to each other. Therefore, `θ = cos⁻¹(8/(4√10))` which is approximately `28.07°`.Since `θ ≠ 90°`, the given lines of equations are not perpendicular to each other.

Given lines of equations:

x = −2 + 2t, y = −6, z = 2 + 6tx=−1+t,y=1+t,z=t, t∈ R.

Firstly, we need to find the direction vectors of the two given lines.For the first equation,Let `t=1`, then the point on the line is `(-2+2(1), -6, 2+6(1))`=`(0, -6, 8)`.

Let `t=2`, then the point on the line is

\(`(-2+2(2), -6, 2+6(2))`=`(2, -6,\)14)`.T

herefore, direction vector `

\(v1 = (2, -6, 14)-(0, -6, 8)`=`(2, 0, 6)`\)

For the second equation, direction vector \(`v2 = (1, 1, 1)`.\\\)

Let the angle between the direction vectors `v1` and `v2` be `θ`.

Then, we know that `v1 • v2 = |v1||v2| cosθ`, where `•` represents the dot product of the vectors, and `|.|` represents the magnitude of the vector.

Thus, we have:

(2, 0, 6) • (1, 1, 1) = √(2²+0²+6²)√(1²+1²+1²) cosθ

=> 8 = √40√3 cosθ=> cosθ = 8/(4√10)

Therefore,

`θ = cos⁻¹(8/(4√10))`

which is approximately `28.07°`.

Since `θ ≠ 90°`, the given lines of equations are not perpendicular to each other.

To know more about   equations visit :-

https://brainly.com/question/29657983

#SPJ11

Answer:

4X+2=10

Step-by-step explanation:

X = 3 hope this helps :D

Answer: 5/8

Step-by-step explanation: 3(2x-1) +2 = 2(2-x)

6x - 3 + 2 = 4 - 2x

6x -1 = -2x + 4

8x = 5

x = 5/8

Using the distance formula, the perimeter of the quadrilateral PQRS is equal to 15.6 to the nearest tenth.

The distance formula is a mathematical equation used to find the distance between two points in a plane. It is given by the following formula:

d = √[(x₂ - x₁)² + (y₂ - y₁)²],

where d is the distance between the points (x₁, y₁) and (x₂, y₂).

we shall evaluate the distance between the points PS and QR as follows:

distance between P and S = √[[1 - (-3)]² + (1 - 3)²]

distance between P and S = √20

distance between P and S = 4.5

distance between Q and R = √[[1 - (-3)]² + [-1 - (-2)]²]

distance between Q and R = √17

distance between Q and R = 4.1

Thus; PQ =5, SR = 2, PS = 4.5, and QR = 4.1

perimeter of quadrilateral PQRS = 5 + 2 + 4.5 + 4.1

perimeter of quadrilateral PQRS = 15.6.

Therefore, using the distance formula, the perimeter of the quadrilateral PQRS is equal to 15.6 to the nearest tenth.

Read more about distance formula here:https://brainly.com/question/7243416

#SPJ1

Answer:

The whole numbers are 0 and 79.

Step-by-step explanation:

The numbers provided are as follows:

\(-2\frac{5}{6},\ -54,\ -4,\ -57,\ -89,\ 79,\ \frac{6}{9},\ \\\\-19\frac{2}{3},\ \frac{2}{4},\ 0,\ \frac{2}{7},\ -3,\ -2, -7,\ -8,\ \\\\\frac{1}{8},\ -\frac{4}{8},\ 1\frac{3}{8},\ -\frac{7}{8}\)

Whole numbers are a set of natural positive numbers and 0. This set basically consists of counting discrete numbers.

Such as: 0, 1, 2, 3, 4, 5....

From the provided set of numbers the whole numbers are:

S = {79 and 0}

Thus, the whole numbers are 0 and 79.

Answer:

it's B and C

Step-by-step explanation:

The principal that yields an interest of Rs 2,240 at a rate of 10% per annum over 3 years and 6 months is Rs 6,400.

To find the principal that yields an interest of Rs 2,240 at a rate of 10% per annum over 3 years and 6 months, we can use the formula for simple interest:

Simple Interest = (Principal x Rate x Time) / 100

Given that the interest is Rs 2,240, the rate is 10% (0.10), and the time is 3 years and 6 months, we need to convert the time into years. Since 6 months is half a year, the total time in years is:

3 years + (6 months / 12 months per year) = 3.5 years

Now we can rearrange the formula to solve for the principal:

Principal = (Simple Interest x 100) / (Rate x Time)

Substituting the given values:

Principal = (2240 x 100) / (10 x 3.5)

= (224000) / (35)

= Rs 6400

Therefore, the principal that yields an interest of Rs 2,240 at a rate of 10% per annum over 3 years and 6 months is Rs 6,400.

Learn more about interest rate click;

https://brainly.com/question/28272078

#SPJ1

(a) The mean number of hits a baseball player with a career batting average of .300 should get in 75 at-bats is approximately 22.5 hits.

(b) The standard deviation cannot be determined solely based on the batting average; additional information is required.

(a) The mean number of hits can be calculated by multiplying the batting average (.300) by the number of at-bats (75):

Mean number of hits = Batting average × Number of at-bats = 0.300 × 75 = 22.5 hits.

(b) The standard deviation cannot be determined solely based on the batting average because it only provides information about the average success rate per at-bat. The standard deviation requires additional information, such as the variance or distribution of hits among the at-bats.

For more questions like Standard deviation click the link below:

https://brainly.com/question/14747159

#SPJ11

The probability distribution for the 30 pieces of fruit, in the order listed, is:

a. 1/30, 3/30, 1/30, 4/30, 1/30, 5/30

To determine the probability distribution for the 30 pieces of fruit, we need to calculate the probability of each fruit appearing in the specified order.

Based on the given information:

Fruit: Apples, Bananas, Lemons, Oranges, Pears

Quantities: 6, 9, 2, 8, 5

To calculate the probability, divide the quantity of each fruit by the total number of pieces of fruit (which is 30 in this case).

The probability distribution for the 30 pieces of fruit, in the order listed, is as follows:

a. 1/30, 3/30, 1/30, 4/30, 1/30, 5/30

b. 1/30, 4/30, 2/30, 5/30, 10/30

c. 10/30, 15/30, 15/30

d. 1/30, 1/30, 1/30, 4/30, 2/30, 15/30, 5/30, 15/30, 15/30

To know more about probability,

https://brainly.com/question/32004014#

#SPJ11

7x+18-answer

Step-by-step explanation:

3

+

8

+

4

+

1

0

3x+8+4x+10

3x+8+4x+10

Simplify

1

Add the numbers

3

+

8

+

4

+

1

0

3x+{\color{#c92786}{8}}+4x+{\color{#c92786}{10}}

3x+8+4x+10

3

+

1

8

+

4

3x+{\color{#c92786}{18}}+4x

3x+18+4x

2

Combine like terms

Answer:

\(\huge\boxed{Answer\hookleftarrow}\)

\(3x + 8 + 4x + 10\)

Bring the like terms together & add them.

\(3x + 8 + 4x + 10 \\ = 3x + 4x + 8 + 10 \\ = 7x + 18\)

\(\underline{\textsf{\textbf{Answer = 7x + 18}}}\)

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

╭═══════ღ❦ღ══╮

\(RainbowSalt2^{2}2^{2}\)

╰══ღ❦ღ═══════╯

Answer: 100

Step-by-step explanation:

Your question is talking about breaking up in to groupings which is division.

# of boxes = 1588 souvenirs/16paperweights

# of boxes = 99.25      > You need to round up because you need that extra box

# of boxes = 100

Answer:

its $5.20

Step-by-step explanation:

Answer:

D: HE and QR

—

Answer:

The slope-intercept form is y=-2x+16.

Let L be the line in R^3 that consists of all scalar multiples of the vector `[3, 4, 5]`. Find the reflection of the vector v = `[1, 2, 3]` in the line L. A reflection is a transformation that takes an object and reflects it over a line. This transformation is called an isometry because the distance between points on the object is preserved.

Let's call the point of intersection between the line and the plane `P`. To find the reflection of `v` in the line `L`, we need to find the point `R` on `L` that is equidistant from `v` and `P`. We can do this by finding the projection of `v` onto `L`, and then doubling the distance between `v` and the projection. The projection of `v` onto `L` is given by:


where `u` is a unit vector in the direction of `L`. Since `L` consists of all scalar multiples of `[3, 4, 5]`, we can take `u` to be:

\(u = (1/√(3² + 4² + 5²))[3, 4, 5] = (1/√50)[3, 4, 5]\)

Then, we have:

Now, we need to double the distance between `v` and `projL(v)` to find `R`. We have:

R = v + 2(projL(v) - v) = [1, 2, 3] + 2([(29/50)3, (29/50)4, (29/50)5] - [1, 2, 3]) = [(58/25) - 1, (58/25) - 2, (58/25) - 3] = [(33/25), (8/25), (-7/25)]

Therefore, the reflection of `v` in the line `L` is `[33/25, 8/25, -7/25]`.

To know more about consists visit:

https://brainly.com/question/32933740

#SPJ11

Statement: ∠ABC ≅ ∠EDC

Reason: Given (or Angle equality postulate)

In line 5, we can state that ∠ABC is congruent to ∠EDC because it is given in the paragraph proof. The reason for this statement is the "Given" or "Angle equality postulate," which states that if two angles are given to be congruent, then they are congruent.

Statement: Triangle ABC and Triangle EDC are congruent.

Reason: ASA (Angle-Side-Angle) congruence criterion.

In a two-column proof, each line consists of a statement and a reason. To complete the proof, we need to determine the appropriate statement and reason for line 5.

The given paragraph proof should provide information leading to the conclusion that Triangle ABC and Triangle EDC are congruent. The most likely reason for this congruence would be the ASA (Angle-Side-Angle) criterion.

The ASA criterion states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

Therefore, in line 5, we can state "Triangle ABC and Triangle EDC are congruent" and provide the reason as "ASA (Angle-Side-Angle) congruence criterion." This indicates that the two triangles are congruent based on the given information and the ASA criterion.

for such more question on congruent

https://brainly.com/question/26085366

#SPJ11

Step-by-step explanation:

the diagram looks incomplete can you show the full picture

Answer:

x = 8 units

Area = h*b/2 = 8*4/2 = 16

The relationship between BC and B"C" is  B''C'' = 3BC and the value of B''C'' is 12 units.

We know that,

The length of segment B''C'' is equal to the length of segment BC multiplied by the scale factor

Step 1

Find the length of segment BC

the formula to calculate the distance between two points is equal to

\(d = \sqrt{(y2-y1)^{2} + (x2-x1)^{2} }\)

we have the points

B(1,-3),C(-3,-3)

substitute the values

BC = 4 units

The segment B''C'' is equal to the segment BC multiplied by the scale factor

The scale factor is 3

so

B''C'' = BC(3)

B''C'' = 3BC (this is the relationship between BC and B''C'')

substitute

B''C'' = 3*4 = 12 units

The value of B"C" is 12 units, and the relationship between BC and B"C" is that B"C" = 3BC.

To learn more about triangles, visit the link:

brainly.com/question/29083884

#SPJ4

The real numbers with decimal representations consisting of all 1s are non-existent.

To determine if a real number with a decimal representation consisting of all 1s exists, we can examine the nature of such a number. Let's assume there is a number "x" that fits this criteria. Its decimal representation would be 1.1111..., where the digit 1 repeats indefinitely.

We can attempt to find the value of this number by performing a calculation:

x = 1.1111...

10x = 11.1111...

Now, if we subtract the equation for x from 10x, we can eliminate the repeating decimal:

10x - x = 11.1111... - 1.1111...

9x = 10

x = 10/9

Thus, we find that the value of x is 10/9. However, the number 10/9 does not have a decimal representation consisting of all 1s. Its decimal representation is a repeating decimal, where the digit 1 repeats indefinitely: 1.1111....

After careful examination and calculation, we can conclude that there are no real numbers with decimal representations consisting solely of 1s. The closest representation to a repeating decimal of all 1s is the fraction 10/9, which has a repeating decimal representation of 1.1111....

To know more about Numbers, visit

https://brainly.com/question/2228445

#SPJ11

Answer:

2/45

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

(hope this helps)

Answer:

469.875 square feet

Step-by-step explanation:

Find how many square feet she can cover by multiplying 125.3 by 3.75 (same as 3 3/4):

125.3(3.75)

= 469.875

So, she will be able to cover 469.875 square feet with soil

Answer:i just took it the answer is 10c

Step-by-step explanation:10c

From the given parallelogram, it is obtained that a=8, b=15, y°=64, and x°=116.

A parallelogram is a quadrilateral that has its opposite sides parallel and equal to each other.

Since the opposite sides of a parallelogram are the same, from the given picture, we can say that

a=8

And b=15

The sum of opposite angles of a parallelogram is 180°.

Given that m<DAB is 116°.

M<BCD =y= 180-116=64°

Similarly we can get m<ABC = x =116°

As a result, a equals 8, b equals 15,  y equals 64° and x equals 116°.

To learn more about parallelogram, use the link given below:

https://brainly.com/question/19187448?referrer=searchResults

#SPJ1

Answer:

x=14

Step-by-step explanation:

3x+1 and 43 are both vertical angles so they are equivant.

3x+1=43

3x=42

x=14