help plz its so hard and im giving brainly and 20 points

Answer: The point of intersection of angle bisectors of the 3 angles of triangle ABC is the incenter . The incircle touches each side of the triangle

Thomas' installment payment that he pays in one fortnight is approximately k523.08.

To calculate Thomas' installment payment, we need to consider the principal amount (k10,000) and the interest rate (36%).

First, let's calculate the total amount to be repaid at the end of the year, including the interest. The interest is calculated as a percentage of the principal amount:

Interest = Principal × Interest Rate

= k10,000 × 0.36

= k3,600

The total amount to be repaid is the sum of the principal and the interest:

Total Amount = Principal + Interest

= k10,000 + k3,600

= k13,600

Now, we need to calculate the number of fortnights in a year. There are 52 weeks in a year, and since each fortnight consists of two weeks, we have:

Number of Fortnights = 52 weeks / 2

= 26 fortnights

To find the installment payment for each fortnight, we divide the total amount by the number of fortnights:

Installment Payment = Total Amount / Number of Fortnights

= k13,600 / 26

≈ k523.08

Therefore, Thomas' installment payment that he pays in one fortnight is approximately k523.08.

It's important to note that this calculation assumes equal installment payments over the course of the year. Different repayment terms or additional fees may affect the actual installment amount. It's always advisable to consult with the bank or financial institution for accurate information regarding loan repayment.

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Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

Answer:

To calculate the selling price of each amplifier, we need to consider the cost, import duty, sales tax, and the desired profit margin.

Cost of each amplifier: sh. 3,750

Import duty of 125% on the cost:

Import duty = 125% of sh. 3,750

= 125/100 * sh. 3,750

= sh. (125/100 * 3,750)

= sh. 4,687.50

Cost of each amplifier including import duty:

Total cost = Cost + Import duty

= sh. 3,750 + sh. 4,687.50

= sh. 8,437.50

Sales tax of 20% on the total cost:

Sales tax = 20% of Total cost= 20/100 * sh. 8,437.50

= sh. (20/100 * 8,437.50)

= sh. 1,687.50

Total cost including sales tax:

Total cost = Total cost + Sales tax

= sh. 8,437.50 + sh. 1,687.50

= sh. 10,125

Desired profit margin of 10% on the total cost:

Profit = 10% of Total cost

= 10/100 * sh. 10,125

= sh. (10/100 * 10,125)

= sh. 1,012.50

Selling price of each amplifier:

Selling price = Total cost + Profit

= sh. 10,125 + sh. 1,012.50

= sh. 11,137.50

Answer:( 175/6)

Step-by-step explanation: 5*35/6=175/6 sour our numerator is 175/6. So sour answer is (175/6)/35

Answer:

9,000

Step-by-step explanation:

its in the thousands place

Answer:

3 » Millions

7 » Hundred thousands

2 » Ten thousands

\({ \boxed{ \bf{9 \: \dashrightarrow \: thousands}}}\)

7 » Hundreds

6 » Tens

0 » Ones

\({ \underline{ \mathfrak{ \green{Good \: grace}} \: \:⚜ \: \: { \blue{ \mathfrak{Good \: God}}}}}\)

Using the Central Limit Theorem, it is found that the sampling distribution of the sample proportion of the 50 questions on which you get the correct is approximately normal, with mean of 0.7 and standard error of 0.0648.

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1 - p)}{n}}\), as long as \(np \geq 10\) and \(n(1 - p) \geq 10\).

In this problem, we have that p = 0.7, n = 50, hence the mean and the standard deviation are given as follows:

\(\mu = p = 0.7\)

\(s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.7(0.3)}{50}} = 0.0648\)

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Answer:

Shortest Path : A-C, C-Z

Shortest possible time = 143

Step-by-step explanation:

P.S - The exact question is -

Given -

T1 = 38

T2 = 52

T3 = 63

T4 = 67

T5 = 91

T6 = 62

T7 = 64

To find - What is the shortest path and what is the shortest possible time to travel from A to Z ?

Proof -

Choices for shortest path is -

Choice 1 : A-B, B-E, E-Z ;

Choice 2 : A-C, C-Z ;

Choice 3 : A-B, B-D, D-Z

Now,

For Choice 1 : A-B, B-E, E-Z

Distance between A-B = T1 = 38

Distance between B-E = T4 = 67

Distance between E-Z = T7 = 64

So,

The distance = 38 + 67 + 64 = 169

Now,

For Choice 2 : A-C, C-Z

Distance between A-C = T2 = 52

Distance between C-Z = T5 = 91

So,

The distance = 52 + 91 = 143

Now,

For Choice 3 : A-B, B-D, D-Z

Distance between A-B = T1 = 38

Distance between B-D = T3 = 63

Distance between D-Z = T6 = 62

So,

The distance = 38 + 63 + 62 = 163

∴ By comparing we get

Shortest Path = A-C, C-Z

Shortest possible time = 143

The shortest path is A→C→Z and the shortest possible time is 143 units option second is correct.

It is given that the traveler is trying to determine the fastest way to travel from city A to city Z.

It is required to find the shortest path and the shortest possible time to travel from A to Z.

It is defined as the path in which all the sum of the path will be shortest in a weighted diagram known as the shortest path.

We have the time required to travel from A to B is T1 = 38 units

Similarly, for the path A to C is T2= 52 units

For the path B to D is T3= 63 units

For the path B to E is T4 = 67 units

For the path C to Z is T5 = 91 units

For the path D to Z is T6 = 62 units

For the path E to Z is T7 = 64 units

For the path A→B→E→Z

The total time required = T1+T4+T7

                                       = 38+67+64 ⇒169 units.

For the path A→C→Z

The total time required = T2+T5

                                       = 52+91 ⇒143 units.

For the path A→B→D→Z

The total time required = T1+T3+T6

                                       = 38+63+62 ⇒ 163 units.

Thus, the shortest path is A→C→Z and the shortest possible time is 143 units option seconds is correct.

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Answer:

you see

Step-by-step explanation:

Answer:

the answer is 2.4 miles per day

Answer:

The answer is C: 96cm2

Step-by-step explanation:

Formula of a triangle is half of the base times height. 16 times 12 is 192 divided by 2 is 96.

Answer:

Step-by-step explanation:

The exponent is just the amount of times you multiply a number by itself. So if you're multiplying three five times, the power would be 5.

Answer:

y+3=45(x+5)

Step-by-step explanation:

Hi there!

Point-Slope Form:

y-y1=m(x-x1)

Where

y1 stands for the y-coordinate of the point

m stands for the slope of the line

x1 stands for the x-coordinate of the point

In this case, the slope is 45, the y-coordinate of the given point is -3, and the x-coordinate of the point is -5.

Plug in the values and solve:

y-y1=m(x-x1)

y-(-3)=45(x-(-5)

y+3=45(x+5)

Hope it helps!

Enjoy your day!

Please feel free to ask if you have any doubts.

\(\bf{MysteriousSparkle}\)

Answer:

6.5

Step-by-step explanation:

Answer:

6.5

Step-by-step explanation:

Using a calculator, if you typed in 52 divided by 8, you'd get 6.5. You could also express 52/8 as a mixed fraction: 6 4/8. If you look at the mixed fraction 6 4/8, you'll see that the numerator is the same as the remainder (4), the denominator is our original divisor (8), and the whole number is our final answer (6).

Answer:

p1 = 95 p2 = 180

Step-by-step explanation:

50 + 90% = 95

95 + 90% = 180

(8*P) + (0.25*m)=C

P = People

Answer:

Step-by-step explanation:

A community center offers yoga classes for $8 per month plus an additional $0.25 per center floor mat used.Write an equation to express this relationship, using m to represent the number of mats used per month and C to represent the total cost in dollars.

Answer: \(-\frac{9}{2}, -4, -3, -\frac{11}{4}, -2\)

Step-by-step explanation:

slope = m

\(m=\frac{y_2-y_1}{x_2-x_1}=\frac{-7-9}{-1-(-5)}=-4\)

y = mx + b, (-5,9), (-1,-7), m = -4; (does not matter which point you plug in)

\(y=mx+b\\9=-4(-5)+b\\9=20+b\\b=-11\\y=-4x-11\)

(now plug in each y value into the equation above)

\(7=-4x-11\\18=-4x\\x=-\frac{9}{2}\\\\5=-4x-11\\16=-4x\\x=-4\\\\1=-4x-11\\12=-4x\\x=-3\\\\0=-4x-11\\11=-4x\\x=-\frac{11}{4} \\\\-3=-4x-11\\8=-4x\\x=-2\)

To prove: If one angle of a triangle is 90°, then the sum of the other two angles is equal to 90°. is sum of angles on a triangle is 180 degrees

In a triangle, the sum of the interior angles in the triangle is 180 degrees

For right triangle, that is angle that has one side as 90 degrees, the sum of the other two sides will be 90 degrees

Assuming the other angles are x and y, then a side is 90 degrees

x + y + 90 = 180 (sum of interior angles on a triangle)

x + y = 180 - 90

x + y = 90 degrees

hence the sum of the interior angles is 90 degrees

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This is the answer in the picture                  

The elements of the graph of P(x) provides information on the values of P(x) when different quantities of jackets are made and sold

First part; The company's profit will be exactly $0 if it makes and sells;

B. 20 or 70 (jackets)

Second Part; The company will make a profit if it makes and sells between 20 and 70 jackets;

B. Between 20 and 70

Third Part; But will not make a profit if it makes and sells more than 70 jackets

C. More than 70

Reason:

First Part

The given function is presented as follows; P(x) = -0.0005·(x² + 30)·(x - 30)·(x - 70)

Where;

P(x) = The weekly profit

Two factors of the function P(x) are (x - 30) and (x - 70), therefore, at x = 30, and x  70, the company's profit will be exactly $0.

However, from the graph, the value of the profit function, P(x) is zero when x = 20 and x = 70

Therefore,

The correct option is B. 20 or 70

Second Part;

From the graph of the function, the value of the profit P(x) (profit is made) is positive in the domain 20 ≤ x < 70

Therefore, the company will make profit if makes and sells between (20 and 70) jackets

The correct option is B. Between 20 and 70

Third Part

From the graph of the function, the value of P(x) is negative when x > 70

Therefore, the company will not make profit if it makes and sells (More than 70) jackets

The correct option is C. More than 70

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Answer:

\(8\frac{1}{5} acres\)

Step-by-step explanation:

\(7\frac{1}{4} + 3\frac{1}{5} - 2 \frac{1}{4} \\\\7\frac{1}{4} - 2 \frac{1}{4} = 5\\\\then:\\\\7\frac{1}{4} + 3\frac{1}{5} - 2 \frac{1}{4} = 5 + 3\frac{1}{5} = 8 \frac{1}{5}\)

Answer:

Z = 22.5, Y = 81, X = 26.7

Step-by-step explanation:

Using the lengths you do know compare them to the copy, the only two lengths available that are for the same side length are 33 and 22, divide them together and you get 1.5. Thats the scale factor. Everything else you can figure out by multiplying or dividing by this scale factor.

\(Z = (15)(1.5) = 22.5\\Y = (54)(1.5) = 81\\X = (40)/(1.5) = 26.7\)

The translation direction is 5 units to the left.

To determine the translation direction and number of units, we can compare the original coordinates of point Q (Q(5, 4)) with the new coordinates of Q' after the translation (Q'(0, 4)).

By comparing the x-coordinates, we can see that the x-coordinate of Q' is smaller than the x-coordinate of Q, which means the triangle was translated to the left.

By comparing the y-coordinates, we can see that the y-coordinate of Q' is the same as the y-coordinate of Q, which means there was no vertical translation.

Therefore, the translation direction is 5 units to the left.

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_______________________________

_______________________________

Answer:

\( \frac{1}{12} \times (13x - 36)\)

Answer:

2)  Minimum = 15
     Lower Quartile = 19
     Median = 30.5
     Upper Quartile = 45
     Maximum = 62

3)  Minimum = 82
     Lower Quartile = 89
     Median = 99.5
     Upper Quartile = 112.5
     Maximum = 120

Step-by-step explanation:

A box and whisker plot (also known as a "box plot"), is a graph displaying the distribution of a set of data based on a five number summary.

\(\hrulefill\)

Given data set:

To calculate the values of the five-number summary, order the given data values from smallest to largest:

There are 10 data values in the data set, so this is an even data set.

As there are an even number of data values, the median is the mean of the middle two values, 30 and 31:

\(\sf Median=\dfrac{30+31}{2}=30.5\)

The lower quartile is the median of the data points to the left of the median. Therefore:

The upper quartile is the median of the data points to the right of the median. Therefore:

Therefore, the five-number summary of the given data set is:

To draw the box-and-whisker plot (see attachment 1):

\(\hrulefill\)

Given data set:

To calculate the values of the five-number summary, order the given data values from smallest to largest:

There are 12 data values in the data set, so this is an even data set.

As there are an even number of data values, the median is the mean of the middle two values, 99 and 100:

\(\sf Median=\dfrac{99+100}{2}=99.5\)

The lower quartile is the median of the data points to the left of the median. As there is an even number of data points to the left of the median, the lower quartile is the mean of the middle two values, 88 and 90:

\(\sf Lower\;Quartile=\dfrac{88+90}{2}=89\)

The upper quartile is the median of the data points to the right of the median. As there is an even number of data points to the right of the median, the upper quartile is the mean of the middle two values, 110 and 115:

\(\sf Upper\;Quartile=\dfrac{110+115}{2}=112.5\)

Therefore, the five-number summary of the given data set is:

To draw the box-and-whisker plot (see attachment 2):

Answer:

(see below)

Step-by-step explanation:

First, you know that the first statement given is Given.

Now that you have that, you want to concentrate on your goal, and that goal is to prove that ΔGHI is an isosceles. To do this, you need to prove that the two base angles or two adjacent sides are congruent.

To do this, you can prove ΔGHJ ≅ ΔIHJ first, then use CPCTC.

Because HJ is the perpendicular bisector of GI, GJ ≅ IJ. this will be under Definition of Perpendicular Bisectors because it's a line which cuts a line segment into two equal parts at 90°.

This also means that ∠GJI and ∠IJH are right angles under Definition of Perpendicular Bisectors. Do not combine the two statements.

To clarify everything, ∠GJI ≅ ∠IJH because "all right angles are congruent."

It's also clear that these two triangles share a side, so HJ ≅ HJ. This is the Reflexive Property of Congruence, stating that for any real number a, a ≅ a.

Now you can prove these two triangles congruent by the SAS Postulate.

Using CPCTC, corresponding parts of congruent triangles are congruent, GH ≅ HI.

Your last statement should be ΔGHI is an isosceles because of Definition of Isosceles Triangle. You also want to state the statement exactly as given as the question.

Your proof should look something like IMAGE.A.

By graphing the polynomial, we conclude that there is only one real root, so the correct option is A.

We have the polynomial:

\(y = -3x^2 + 12x - 12\)

To see how many real roots this polynomial has, we can graph it and see how many times the graph intercepts the x-axis.

The graph can be seen below:

There we can see that there is only one intercept, so there is only one real root.

So the correct option is A.

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