Yep me out please where can I found the value of x in the triangle at the right?

Answer:

A. 36°

Step-by-step explanation:

Given:

m<NST = 15x - 4

m<RSN = 6x

m<RST = 122°

Required:

m<RSN

Solution:

First we need to create an equation to determine the value of x.

Thus:

m<NST + m<RSN = 122° => angle addition postulate

15x - 4 + 6x = 122 (substitution)

Add like terms

21x - 4 = 122

21x - 4 + 4 = 122 + 4

21x = 126

21x/21 = 126/21

x = 6

✔️m<RSN = 6x

Plug in the value of x

m<RSN = 6(6) = 36°

Answer:

That would be 549.5 cubic inches of cat litter (approximately).

Step-by-step explanation: The cylindrical storage container has a height of seven inches and a radius of five inches. To know how much cat litter would fill it requires us to calculate the volume of the container.

The volume of a cylinder is given as,

Volume = Pi x r^2 x h

Where r is the radius, h is the height and Pi shall be taken as 3.14

We can now substitute for the known values as follows;

Volume = 3.14 x 5^2 x 7

Volume = 3.14 x 25 x 7

Volume = 549.5

Rounded to the nearest tenth, the container would be filled with 549.5 cubic inches of cat litter.

Answer:

The volume is 471.2 units squared.

Step-by-step explanation:

The formula for the volume of a cylinder is \(\pi r^{2} h\), where r is the radius and h is the height.

Inputting the values \(r=5\) and \(h=6\) the formula becomes \(\pi 5^{2}6\). \(5^{2}\) is 25. 25 times 6 is 150. Using a calculator to multiply by \(\pi\), we get the answer.

Answer:

X = 7

Step-by-step explanation:

E___D___F

ED = DF

6x +4 = 4x+18

6x – 4x = 18 – 4

2x = 14

x =14/2

x = 7

I hope I helped you^_^

Answer:

1/3

Step-by-step explanation:

You do rise over run

I hope this helps!!

Answer:

- 50

Step-by-step explanation:

Given the equation :

2x³ - z

x = - 3 ; z = - 4

Substituting the values into the equation :

2(-3)³ - (-4)

-3³ = - 27

Hence,

2(-27) - (-4)

-54 + 4

= -50

2x³ - z at x = - 3 and z = - 4 is - 50

Step-by-step explanation:

ooo matrics um if you give me a second ill solve it

Based on the information, the Stafford loan will have a lower balance by $527.14 at the time of repayment

Using the formula for compound interest, the total cost of the loan can be calculated as follows:

Total cost of Stafford loan = $11,650 x (1 + 0.0595/12)^(12*0.5) = $12,652.14

Total cost of PLUS loan = $12,436.41 x (1 + 0.0655/12)^12 = $13,179.28

Therefore, the Stafford loan will have a lower balance at the time of repayment by $527.14 ($13,179.28 - $12,652.14).

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The sum of the lengths of three sides of the rectangle, gives the length

of the fencing, while one third of the rectangle area is for the pavement.

Responses:

Project A: The formula for the length of the fencing is, L = 4·x - 1

Project B: Length of the fancy wall = 2·x + 1

\(Project \ C:Area \ of \ the \ paving = \underline{ \dfrac{2\cdot x^2 }{3} - \dfrac{x }{3} - \dfrac{1}{3}}\)

Project A: Let QP and SR represent the longest sides of the rectangle, we have;

PQ = SR = 2·x + 1

Given parameters are;

Length of the rectangular plot = 2·x + 1

Width of the rectangular plot = x - 1

Vertices of the rectangular plot are; QPSR

Project A: Let QP and SR represent the longest sides of the rectangle, we have;

PQ = SR = 2·x + 1

Which gives;

SP = QR = x - 1

The length of the fencing, L = SP + PQ + QR = x - 1 + 2·x + 1 + x - 1 = 4·x - 1

Project B: The front side is SR

Therefore;

Project C:

Area, A = Length × Width

Area of the plot, A = (2·x + 1) × (x - 1) = 2·x² - x - 1

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The cost of plastering the rectangle walls at rate of Rs.15/\(m^2\) is Rs.5565.

What is rectangle?

  With four sides, four corners, and four right angles (90°), a rectangle is a closed 2-D object. A rectangle's opposing sides are equal and parallel. Since a rectangle is a two-dimensional form, it has two dimensions: length and width. The opposite sides of a quadrilateral are equal and parallel, and all the angles are equal. Around us, there are several rectangle-shaped items. Two dimensions, the length and breadth, define each rectangle shape. The width and length of a rectangle are its longer and shorter sides, respectively.

Given,

Length of room =12m

Breadth of room =10m

Height of room =6m

So, Area of four walls =2(l+b)×h

=>area of four wall=2(12+10)×6=264\(m^2\)

Now Area of 2 doors and 3 windows =(2×1×2+3×2×1.5)

=> area of 2 doors and 3 windows = 13\(m^2\)

Area of ceiling =l×b=12×10=120 \(m^2\)

Thus, total area for plastering =(264−13+120)= 371\(m^2\)

Hence, the cost of whitewashing =Rs.(371×15)=Rs.5565.

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the absolute value function written as a piecewise function is:

f(x) = x + 8      if     x ≥ -8

f(x) = -(x + 8)     if    x + < -8

The absolute value function:

y = |x|

works as follows:

That is a piecewise function.

Now, in our case:

f(x) = |x + 8| can be rewritten to:

f(x) = x + 8      if     (x + 8) ≥ 0

f(x) = -(x + 8)     if    (x + 8) < 0.

Now we should simplify the inequalities, so we get:

f(x) = x + 8      if     x ≥ -8

f(x) = -(x + 8)     if    x + < -8

Here we have the absolute value function written as a piecewise function.

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Answer:

The 3rd

Step-by-step explanation:

y = 4 x - 7

The slope is the number moltipied by x, 4

Hope this helps, have a good day

Answer:

y = 4 x - 7

Step-by-step explanation:

The person above is correct (i had this question and it was right) (give brainiest to the person above)

Answer:

Amadi: 20 years old

Chima : 4 years old

Answer:

Two buses leave towns 760 mi apart at the same time and travel toward each other. One bus travels

18 mi/h slower than the other. If they meet in

5 hours, what is the rate of each bus?

~~~~~~~~~~~~~~~~

Let x be the rate of the slower bus, in miles per hour.

Then the rate of the faster bus is (x+18) mph, according to the condition.

The slower bus covered 5x miles before the buses meet each other.

The faster bus covered 5*(x+18) miles before they meet each other.

The sum of distances covered by buses is 3x + 5*(x+18).

It is equal exactly 760 miles. It gives you an equation

5x + 5(x+18) = 760.

Simplify and solve for x:

5x + 5x + 90 = 760,

10x = 760 - 90,

10x = 670  ====>  x = 670%2F10 = 67.

Thus you found the rate of the slower bus. It is 67 miles per hour.

Then the rate of the faster bus is 67 + 18 = 85 mph.

Solved.

Step-by-step explanation:

Hope this helps :D

To simplify the expression -2 - x, we can combine the constant term (-2) with the variable term (-x).

So, -2 - x simplifies to -2x - 2.

Let's simplify the expression -2 - x step by step:

Step 1: Start with the given expression: -2 - x.

Step 2: To simplify, we combine like terms. In this case, we have a constant term (-2) and a variable term (-x).

Step 3: Combine the constant term (-2) with the variable term (-x) by subtracting x from -2. This gives us -2x.

Therefore, the simplified expression is -2x.

In summary, -2 - x simplifies to -2x.

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The perimeter of the composite figure that is given above would be = 96.6m.

To calculate the perimeter of the given shape, it has to be divided into two.

First shape is a rectangle. Therefore the perimeter of a rectangle is calculated with the formula = 2(l+w)

Where ;

length = 16m

width = 11m

perimeter = 2(16+11)

= 2×27

= 54m

The second shape:

Perimeter of triangle = l+w+h

where;

length = 18-11 = 7m

width = 16m

height = 19.5m

perimeter = 7+16+19.5 = 42.5m

Therefore, the perimeter of the shape = 54+42.5 = 96.6m

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The pair of complementary angles is the one in the last option:

BFC and DFE

Two angles A and B are complementary if their measures add upto 90°, on the diagram we can see that the angles defined are:

AFB = 40°

BFC = 60°

CFD = 50°

DFE = 30°

Now just see which pairs of these angles add up to 90 degrees, these pairs are complementary angles.

Then the sets of complementary angles are:

AFB and CFD

BFC and DFE

So the correct option  is the last one.

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The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

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We can see here that the total weight of candy in a 5/6 pound bag site is 377 grams.

Weight is a measure of the force exerted by gravity on an object. It is the measure of how heavy an object is. Weight is typically expressed in units such as pounds or kilograms. The weight of an object can vary depending on the gravitational force acting on it.

There are 16 ounces in a pound.

Thus, a 5/6 pound bag of candy weighs

5/6 × 16 = 13.3 ounces.

If you want to know the weight in grams, 13.3 ounces is equal to 377 grams.

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The formula for the area of a triangle is A = 1/2bh, where b is the base and h is the height. the Area for different heights using the equation and plot the coordinates on the graph.

The formula for the area of a triangle is A = 1/2bh, where b is the base and h is the height. To find the area of a triangle with a base of 5 units and a height of x units, the algebraic expression is A = 1/2(5)(x). The ordered pair (height, area) can be graphed by plotting points on the coordinate plane. To plot the first point, simply plot the height on the x-axis and the area (calculated using the equation above) on the y-axis. For example, if x = 3, then A = 1/2(5)(3) = 7.5. This point would be (3, 7.5). To plot the other points, continue to calculate the area for different heights using the equation and plot the coordinates on the graph.

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Steps to solve:

7/5 ÷ 2/3

~Dot

7/5 * 2/3

~Flip

7/5 * 3/2

~Multiply

21/10

Best of Luck!

Answer:

21/10 = 2.1 mile/hour

Step-by-step explanation:

(a/b) ÷ (c/d) = (a*d) ÷ (b*c)

then:

(7/5) ÷ (2/3) = (7*3) ÷ (5*2) = 21/10 mile/hour

Answer:

3,0,-6,0

Step-by-step explanation:

x1=3 because 3+0+0=3

since x2 and s2=0.

Answer:

Step-by-step explanation:

If the data set represents the salaries of all seven employees at a small start-up company (expressed in thousands of dollars). 23, 25, 40, 45, 45, 23, 23 in thousands dollars with variance of 99.14, to get the standard deviation, the formula below will be applicable.

Variance = (standard deviation)²

substituting Variance = 99.14 into the equation we wil have;

99.14 = (standard deviation)²

taking the square root of both sides;

√99.14 = √(standard deviation)²

standard deviation = √99.14

standard deviation = 9.96

The standard deviation of the set of datas is 9.96

Path A-B-C-E represents the distance traveled, which is 18 meters.

Path A-G-C-E represents the displacement, which is 17 meters.

From the given figure, we can identify the paths and calculate the distance and displacement.

Path A-B-C-E represents the distance traveled, and path A-G-C-E represents the displacement.

Let's calculate the lengths of both paths:

Distance traveled (Path A-B-C-E):

Length of AB = 9m

Length of BC = 3m

Length of CE = 6m

Total distance traveled = Length of AB + Length of BC + Length of CE

= 9m + 3m + 6m

= 18m

Therefore, the distance traveled along path A-B-C-E is 18 meters.

Displacement (Path A-G-C-E):

Length of AG = 5m

Length of GC = 6m

Length of CE = 6m

Total displacement = Length of AG + Length of GC + Length of CE

= 5m + 6m + 6m

= 17m

Therefore, the displacement along path A-G-C-E is 17 meters.

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Answer:

c) 118°

Step-by-step explanation:

PN is the diameter of the given circle.

\( \purple {\bold {\therefore m(\widehat{PMN}) = 180°}}.... (1)\\\)

Now, by inscribed angle theorem:

\( m\widehat {MN} = 2\times m\angle MPN\\

\therefore m\widehat {MN} = 2\times 31°\\

\red{\bold {\therefore m(\widehat {MN}) = 62°}}....(2) \\\\\)

Now,

\( \because m(\widehat{MP}) + m(\widehat{MN}) =m(\widehat{PMN})\\

\therefore m(\widehat{MP}) + 62° =180°\\

\therefore m(\widehat{MP}) =180°-62°\\

\huge \orange {\boxed {\therefore m(\widehat{MP}) =118°}} \\\)

Answer:

Step-by-step explanation:

25%

80%

60%

100%

25%

Answer:

55 + 45 = 90

90 divided by  45 = 2

90 divided by 9 = 10

Step-by-step explanation:

Answer:

~

Step-by-step explanation:

To make it easier to graph using a translation, we can rewrite the given equation as:

y - 5 = √√4x + 16

This is obtained by subtracting 5 from both sides of the equation.

The graph of the original equation y = √√4x+16 +5 can be obtained by taking the graph of y = √√4x + 16 and shifting it upwards by 5 units. The graph of y = √√4x + 16 is a square root function that has a vertical stretch of 2, a horizontal compression of 4, and a vertical translation of 16 units upwards. So the graph of the given equation y = √√4x+16 +5 will be the same as the graph of y = √√4x + 16, but shifted upwards by 5 units.

Answer:

1) 4 pots

Left over 2

2) 168 to make 12

122

3) 9

18

Step-by-step explanation: