Please help if you can, this is due in two days.

Please Help If You Can, This Is Due In Two Days.

Answers

Answer 1

The lengths of side [tex]\overline{AB}[/tex] and [tex]\overline{AC}[/tex], found using the angle bisector theorem are;

AB = 28, AC = 42

What is the angle bisector theorem?

The angle bisector theorem states that the bisector of an angle in a triangle, intersects the opposite side at a point such that the opposite side are divided into proportions that is equivalent to the ratio or proportion of the other two sides.

AB = x - 7

AC = x + 7

According to the angle bisector theorem, we get;

8/12 = (x - 7)/(x + 7)

8·(x + 7) = 12·(x - 7)

8·x + 8 × 7 = 12·x - 12 × 7

8·x + 56 = 12·x - 84

12·x - 8·x = 56 + 84 = 140

4·x  = 140

x = 140 ÷ 4 = 35

x = 35

Therefore;

AB = 35 - 7 = 28

AC = 35 + 7 = 42

The correct option is therefore;

AB = 28, AC = 42

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Related Questions



I need help I don’t know what this is and can’t get ahold of my teachers

Answers

Answer:

Below

Step-by-step explanation:

The zeroes are given as x = 0   and x = - 4

then the factorization would be   ( x - 0 )( x - - 4)   =   x (x+4) = f(x)

What is the answer of (7+3)² + (14+12 ÷ 6) if u can show me the work it would be better for me thank you ​

Answers

Answer:   116

=========================================

Work Shown:

[tex](7+3)^2+(14+12\div 6)\\\\(7+3)^2+(14+2)\\\\(10)^2+(16)\\\\100+16\\\\116\\\\\text{Therefore, }(7+3)^2+(14+12\div 6) = 116[/tex]

----------

Explanation:

We use the order of operations PEMDAS.

P = parenthesisE = exponentsM = multiplicationD = divisionA = additionS = subtraction

Parenthesis go first, so we evaluate each expression separately in the two parenthesis groupings.

In the second group, we have [tex]14+12\div6[/tex]. The [tex]12\div6[/tex] portion goes before addition. This is because division ranks higher than addition in PEMDAS shown above.

So this is why [tex]14+12\div6[/tex] becomes [tex]14+2[/tex]

After that we add up the stuff in the parenthesis to end up what is shown in the third step.

Then we square the 10 to get 100. The last step is to then add 100 to 16 to get 116 as the final answer.

You can type the original expression into a calculator to confirm the answer. Your calculator should have a division button labeled [tex]\div[/tex] but if not, then look for the slash symbol. Example: [tex]12 \div 6 = 12/6 = 2[/tex]

In another map 10 cm represents 5,000 m. Calculate the R.F.

Answers

Answer:

Below

Step-by-step explanation:

1cm on the map is  500 m  

1 cm on the map is 50000 cm

1:50000

Imaginary zeros of y = 1/4(x-4)^2 +2

Answers

Answer:y=4+2√(2)i  and y=4-2√(2)i

Step-by-step explanation:

y= 1/4(x-4)^2 +2

y=1/4(x²-8x+16)+2

y=(1/4)x²-2x+4+2

y=(1/4)x²-2x+6

using the Quadratic Equation

y=(-b±√(b²-4ac))/(2a)

Where a=1/4, b=-2, c=6

y=(-(-2)±√((-2)²-4(1/4)(6)))/(2(1/4))

y=(2±√(4-6))/(1/2)

y=4±2√(-2)

y=4±2√(2)i

y=4+2√(2)i  and y=4-2√(2)i

Cuanto cobrara un empleado tras recibir su sueldo un 25% si cobra 23,750

Answers

El nuevo sueldo, luego de un incremento del 25%, será $29,678.50

¿Cual será el nuevo sueldo del empleado?

Recordar que si tenemos un número A, y lo incrementamos en un porcentaje X, entonces el nuevo número será:

A' = A*(1 + X/100%)

En este caso el valor inicial is $23,750, y lo incrementamos en un 25%, entonces el nuevo sueldo esta dado por la expresion de abajo.

A' = $23,750*(1 + 25%/100%)

A' = $23,750*(1.25) = $29,678.50

El núevo sueldo del empleado, luego del aumento, será $29,678.50.

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A ___________________ is used in place of a number.


a.
Constant


b.
Variable


c.
Term


d.
Algebraic Expression

Answers

Answer:

B, Variable

A Variable is used in place of a number

let have the following distribution: 1 2 3 4 0.2 0.3 0.1 0.4 find (2x^2 3x) (write it up to first decimal place).

Answers

For the given distribution, the Expectation, E(2X² + 3X) is 28.9

Now here we see that we have the distribution given to us

We need to find

E(2X² + 3X)

Now we know that

E(X) = ∑xp(x)

Hence we get

E(2X² + 3X) = 2[1 X 0.2  +  4 X 0.3  +  9 X 0.2  +  16 X 0.4] + 3[1 X 0.2  +         2 X 0.3  +  3 X 0.2  +  4 X 0.4]

= 2[0.2 + 1.2 + 1.8 + 6.4] + 3[0.2 + 0.6 + 0.6 + 1.6]

= 2 X 9.6  +  3 X 3

= 19.2 + 9

= 28.9

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Complete Question

(image Attached)

The gift is 1.5 feet tall and Amberly choose to leave one of its bases uncovered. Explain how many many square inches of paper she would use to wrap the gift, assuming the paper does not overlap
And one of the bases is 9 inches by 0.5 feet

Answers

The net area of the paper needed is 4.125 square feet.

What is a cuboid?

A cuboid is a three-dimensional closed figure which has volume along with surface area.

The volume of a cuboid is the product of its length, width, and height.

The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.

Given, The gift is 1.5 feet tall and one of the bases is 9 inches = 0.75 by 0.5 feet.

Therefore the total surface area is,

= 2(1.5×0.5 + 1.5×0.75 + 0.75×0.5).

= 2(0.75 + 1.125 + 0.375).

= 2(2.25).

= 4.5 square feet.

Now, She left one of the bases uncovered which have an area of 0.375 square feet.

Therefore, the net amount of paper needed is = 4.5 - 0.375.

= 4.125 square feet.

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Stuck on this question

Answers

Answer:

below

Step-by-step explanation:

Just put 25 where 'n' is and calculate = 1441 rabbits

graph the equation y=-3x-1

Answers

The graph of y=-3x-1 is given in the attachment.

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given equation is  y=-3x-1

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

In the given equation slope is -3.

Let us find few values of x and y.

x    0    1    2     3    4

y    -1   -4   -7    -10  -13

Hence, the graph of y=-3x-1 is given in the attachment.

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find the indicated measure. do 1 or both it doesn’t matter

Answers

The rectangle QRST have the values for the respective angles and lengths as: m∠QRS = 90°, m∠QTR = 42°, m∠RTS = 48°, TR = 16, and QU = 8.

Diagonals of rectangle

A rectangle has two diagonals that are the same(congruent) and they bisect each other. The rectangle have two pair of parallel sides which makes the angles formed by its diagonals alternate angles. And each interior angle of the rectangle is equal to 90°

m∠QRS = 90° {an angle of a rectangle}

m∠QTR and m∠TRS are alternate angles and are equal so;

m∠QTR = 42°

m∠RTS and m∠QTR are complementary angles are they sum up to 90° so;

m∠RTS = 90° - 42°

m∠RTS = 48°

lines TR and QS are diagonals of the rectangle and are equal so;

TR = 16

line segment TR bisect QU so;

QU = 16/2

QU = 8.

Therefore, we have the values for the respective angles and lengths of the rectangle as: m∠QRS = 90°, m∠QTR = 42°, m∠RTS = 48°, TR = 16, and QU = 8.

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Convert the following percent to a fraction: 79 percent. Simplify when possible.

Answers

79% = 79/100

Hope this helps

The fractional form of the given percentage is 79/100.

Fraction is a comparison between two mathematical quantities or numbers in general.

The number which is being compared is called Numerator and the with whom it is compared is called Denominator.

In mathematical words, if a fraction is look like A/B where A and B are two numbers then A is called Numerator and B is called Denominator.

Percentage is the comparison of a quantity with respect to the number in  100.

Here given the percentage is 79 percent.

So 79 in 100

So the fractional form of the given percentage is = 79/100.

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Simplify the expression
(r − 6)(r − 2) + (r + 4)(r − 9)

Answers

By simplifying the expression  (r − 6)(r − 2) + (r + 4)(r − 9) the value is 2r² - 13r - 24.

What is mathematical expression?

A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-specific norms.

The operations +, -, or are used to combine a number or variable set into an expression. the difference between an algebraic expression and an arithmetic expression that just contains integers and mathematical operators.

Expression in math. A mathematical expression is the collection of mathematical symbols that results from the proper combination of numbers and variables using operations like addition, subtraction, multiplication, division, exponentiation, and other as-yet-unlearned operations and functions.

Given:

(r - 6)(r - 2) + (r + 4)(r - 9)

Expand

⇒ r² - 8r + 12 + r² - 5r - 36

Group like terms

⇒ r² + r² - 8r - 5r + 12 - 36

Add similar elements: -

2r² - 13r - 24

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find the liner equation in slope-intercept for of a line that passes through the order pairs(-4,1) and (-2,2)

Answers

Answer: y=1/2x+3

Step-by-step explanation: Put you ordered pairs on a graph and find your slope, once you find your slope you can finish the line then you can find the y-intercept

prove there's always a real number greater than 0 for which the reciprocal of a natural number is less than it

Answers

Suppose the real number x is greater than 0. Then for any natural number n, the reciprocal of n, 1/n, is less than x if and only if n > 1/x.

Since 1/x is a positive real number, it is always less than a sufficiently large natural number, say N. Hence, 1/N < x.

Therefore, there exists a natural number for which the reciprocal is less than x.

Proof: Reciprocal of N Less Than X

The solution is based on the properties of real numbers and the notion that there is always a natural number greater than any positive real number.

For a given positive real number x, if we take a natural number n that is larger than 1/x, then the reciprocal of n, 1/n, will be less than x. This is because 1/n = n^(-1), which means the value of n^(-1) becomes smaller as n increases.

So, if we choose a sufficiently large natural number, its reciprocal will always be less than any positive real number x. This means that for any positive real number x, there is always a real number greater than 0 (1/n) for which the reciprocal of a natural number (n) is less than it (x).

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Assistance is needed please

Answers

I Hope you got the answer right?

I'm guessing it's A or B

A, Because 125 Average Salary of each employee
B, Because 600 is how much he spends everyday.

I'm going to say
B, $600 spent in a day/daily expenses

If I'm right your welcome.
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this answer is Aaaaa And Bbbbb

Answer:

A and B

hich of the following statements are false? (select all responses that apply) group of answer choices a. outliers can not be leverage points b. all outliers are influential points
c. all outliers are leverage points d. outliers should usually be removed from a datas

Answers

The statements that are FALSE about the Outliners are

(b) all outliers are influential points  ,   and

(d) outliers should usually be removed from a data  .

The statement "(b) all outliers are influential points"  is false because not all outliers are influential points, meaning that they do not have a significant effect on the results of a statistical analysis.

Whether or not an outlier is influential depends on the specific situation and the type of analysis being performed.

The statement "(d) outliers should usually be removed from a data " is false because removing all outliers from a data set is not always appropriate.

Outliers can provide important information and removing them can sometimes lead to the loss of valuable information. In some cases, outliers can be valid observations and should be kept in the data.

The given question is incomplete , the complete question is

Which of the following statements are false? (select all responses that apply) group of answer choices

(a) Outliers can not be leverage points

(b) all outliers are influential points

(c) all outliers are leverage points

(d) outliers should usually be removed from a data  .

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Please help I’m struggling

Answers

The parametric equations are therefore: x is t, y is 1/3 * t, and z is t.

What is  parametric equations?

Response: x = t; y = 1/3; t; z = t

Given

At t = 0, r(t) equals f(t) * I + g(t) * j + h(t) * k.

(F (t0), G (t0), and H (t0))

r(t) = ln (t - 1) + (t + 2) * j + t * ln(tk) t * t * 0 = 1 Required Information is Missing

Calculate the parametric equations.

j + t * ln + (t - 1)/(t + 2) * ln + r(t) = ln(ti) (tk)

With regard to t, differentiate (t) = 1/t * I + 3/((t + 2) 2) * j + (ln(t) + 1) Let t=1 (i.e., e * t * t * 0 = 1)

r = 1/1 for prime (1). * I + 3/((1 + 2) ^ 2) * j + (ln(1) + 1) I + 3/(3 2) * k r prime (1) * j + (0 + 1) Prime (1) = I + 3/9 * K R * j + (1) (1) Prime (1) = I + 1/3 * j + * k r (1) I + 1/3 * j + k = * k r prime (1)

To find x, y, and z.

We utilise the following methods to find x, y, and z: r(t) = f(t) (t) * j + h (t) * k + I + g (t)

This suggests that:

prime r (1) * T = xi, yj, and zk

We therefore have:

I + 1/3 * j + k) = xi + yj + zk * t

it + 1/3 * jt + kt = xi + yj + zk.

In contrast:

xi = it

Divide by I x, y, and j to get 1/3 * jt.

Divide by j y = 3/9 * t zk = kt

Divided by k, z equals t.

The parametric equations are therefore: x = t, y = 1/3 * t, and z = t.

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Evaluate the expression when b = 7 and x = -2.
-b+7x
4
X
$

Answers

Answer:

-21

Step-by-step explanation:

Just replace b by 7 and x by -2

-b + 7x = -(7) + 7(-2) = -7 + -14 = -7-14 = -21

Santiago's family took a road trip to Mount Rushmore. Santiago fell asleep 44% of the way through the trip. If the total length of the trip was 400 miles, how many miles had they travelled when Santiago fell asleep


6th grade math

Answers

Answer: 176 miles

First, multiply the fraction 44/100 by 400. After cross simplifying, you should get 176. 44% is nothing but 44 out of 100, which is why we multiplied by 44/100

please help me will give u extra points :)

Answers

Answer:

I don't know ten?

Step-by-step explanation:

Maybe count how many numbers are covered by the blue line

HELP PLEASE ASAP
50 points

Answers

1.The probability of a driver having a conversation while driving only is 1/2

2. the probability that the student choose will have a dog but not a cat is 3/8

What is probability?

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

Probability = sample space / total outcome

1. Probability of looking at and making conversation = probability of looking at phone × making conversation

= 3/10 = 6/10 × x

x = 3/10 ÷ 6/10

x = 3/10 × 10/6

x = 3/6 = 1/2

therefore the probability of making conversation while driving is 1/2

2. The total number of students = (18-6)+ (16-6)+6 + 4 = 12+10+6+4 = 32

The number of students that have dog alone = 18-6 = 12

therefore the probability of choosing a student with a dog but not a cat = 12/32

= 3/8

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If she could have run 400 meters at the same rate as she ran 100 meters, find the difference between her time for 400 meters and the record time.

Answers

Answer:

Without additional information, it is impossible to answer this question as there is no information about the "she" or "record time" referred to in the question.

please help with picture below

Answers

The  average rate of change over  1≤x≤5 is 6.140. The rate of change over 6≤x≤8 is -2.453. The change of rate decreases as x increases.

What is Expression?

An expression is combination of variables, numbers and operators.

The exponential decay function to model the situation is f(x)=52(0.8)ˣ

where 52 is the initial value and 0.8 is the decay factor.

The given intervals are 1≤x≤5

f(1)=52(0.8)=41.6

f(5)=52(0.8)⁵=17.039

The average rate=17.039-41.6/5-1

=24.561/4

=6.140

Now let us find for the interval 6≤x≤8

f(6)=13.631

f(8)=8.724

Average rate=8.724-13.631/8-6

=-2.453

Hence, the  average rate of change over  1≤x≤5 is 6.140. The rate of change over 6≤x≤8 is -2.453. The change of rate decreases as x increases.

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Suppose a newly-born pair of rabbits, one male and one female, are put in a field. Rabbits are able to
mate at the age of one month so that at the end of its second month a female can produce another pair of
rabbits. Suppose that our rabbits never die and that the female always produces one new pair (one male,
one female) every month from the second month on. How many pairs will there be in one year?

Answers

At the end of the year there will be 356 rabbit.

What is Fibonacci sequence?

Fibonacci sequence is a sequence, in which each number is the sum of the two preceding ones. The numbers in the Fibonacci sequence is the Fibonacci numbers.

Suppose a newly-born pair of rabbits, one male and one female, are put in a field.

Let [tex]f_{1},f_{2},f_{3} ,........f_{12}[/tex] represents the number of rabbit in the month 1, month2,....month12.

i.e., [tex]f_{1} =2, f_{2} =2[/tex]

At the end of its second month a female can produce another pair of

rabbits. i.e., [tex]f_{3}=4[/tex].

At the end of third month a parent female produce one pair and the daughter female produce one pair. i.e., [tex]f_{4} = 8.[/tex]

Similarly it goes on for 12 months.

Using fibonacii sequence, the general term is,

[tex]f_{n} =f_{n-1}+f_{n-2}[/tex]

for 5th month

[tex]f_{5} =f_{4} +f_{3} =8+4=12[/tex]

[tex]f_{6} =f_{5} +f_{4} =12+8=20[/tex]

[tex]f_{7} =f_{6} +f_{5} =20+12=32[/tex]

[tex]f_{8} =f_{7} +f_{6} =32+20=52[/tex]

[tex]f_{9} =f_{8} +f_{7} =52+32=84[/tex]

[tex]f_{10} =f_{9} +f_{8} =84+52=136[/tex]

[tex]f_{11} =f_{10} +f_{9} =136+84=220[/tex]

[tex]f_{12} =f_{11} +f_{10} =220+136=356.[/tex]

Hence, at the end of the year there will be 356 rabbit.

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I just got a new 100-piece puzzele. Each piece connects to at least two other pieces. I plan to assemble it by taking pieces from the box one by one at random, and fitting them together if possible. I'll keep going until all of the pieces taken out fit together in one connected clump. If I've already taken out two pieces that don't directly connect, what is the minimum number of additional pieces that I need in order to guarantee that the original two pieces connect?

Answers

Answer:

To guarantee that the two pieces you've already taken out connect, you'll need to take out at least four additional pieces. This is because the two pieces you've already taken out will each need to connect to two other pieces, so you'll need four pieces to make two connections. It's possible that fewer pieces might be required, but this is the minimum number of pieces that you need to guarantee the connection.

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If the temperature goes down by 7 degrees Celsius when a cold front comes in, how much did it drop on the Fahrenheit scale?

Answers

The answer is 44.6 degrees Fahrenheit

The function g is defined by the following rule.
g(x)=3x-2
Complete the function table.

Answers

Answer:

The function table for g(x) = 3x - 2 is as follows:

X Y -1 -5 0 -2 1 1 2 4 3 7 4 10 5 13

100 points + solve please ! thank you v muchh

Answers

Answer:

AC ≅ DF

Step-by-step explanation:

1. Given
2. Given
3. The whole is greater than the part.
4. The whole is greater than the part.
5. If equals are added to equals, the wholes are equal.
6. Things which are equal to the same thing are equal to one another.
7. Equal lines are congruent

what is 2 to the power of 4​

Answers

Answer:

it is 16

Step-by-step explanation:

do 2x2x2x2 which will give you 16

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