Given the figure below. find the following angle. find the value of the indicated angles.

Answer:

y = 10x + 10

Step-by-step explanation:

(0,10) means that the y is 10 when the x is 0, which is the y-intercept

y-intercept: 10

b = y-intercept

m = slope

slope: 10

y = mx + b

y = 10x + 10

Angie decorates 8 cupcakes after putting 4 sugar flowers on each cupcake.

To find the number of cupcakes c Angie decorates, we can use the equation:4c = 32where 'c' is the number of cupcakes Angie decorates.

4 represents the number of sugar flowers Angie puts on each cupcake, and 32 is the total number of sugar flowers Angie puts on the cupcakes.

To solve this equation for c, we need to isolate c on one side of the equation. We can do this by dividing both sides of the equation by 4. This gives us:c = 8

Therefore, Angie decorates 8 cupcakes.Here's how we get to this answer:4c = 32Divide both sides by 4 to isolate c:c/4 = 32/4c = 8

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Answer:

50

22

24

Explanation:

Given the below expression;

Let's go ahead evaluate when h = 7;

Given the below expression;

Let's go ahead evaluate when c = 4;

Given the below expression;

Let's go ahead evaluate when a = 8;

The included angle of one triangle are congruent to the corresponding parts of the other triangle. Since the sides AD and BE are congruent, as well as the included angle DAB and CBA, then △ADE≅△BCE.

By the Side-Angle-Side (SAS) congruence theorem, if two sides and the included angle of one triangle are congruent to the corresponding parts of the other triangle, then the triangles are congruent. In this proof, the given statements provide that the sides AE and EB are congruent, as well as the angles DAB and CBA. This means that the two corresponding sides of the triangles △ADE and △BCE are congruent, and the included angles of the triangles are also congruent. Therefore, according to the SAS congruence theorem, the two triangles are congruent, and thus △ADE≅△BCE.

The SAS congruence theorem applies to any two triangles, regardless of the size or shape of the triangles. The congruence of the sides and angles is sufficient to prove that two triangles are congruent. This theorem can be used to prove other theorems, such as the Triangle Sum Theorem, which states that the sum of the angles in a triangle is equal to 180 degrees. To prove this theorem, one could use the SAS congruence theorem to show that two right triangles are congruent, and then use the congruent angles to prove that the sum of the angles in a triangle is 180 degrees.

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The statement about the function is: "The function is decreasing for all real values of x where x < -4." D.

The given information tells us that the graph represents a downward-opening parabola.

The vertex of the parabola is located at (-4, 4) indicates that this point is the highest point on the graph.

As we move to the left of the vertex, the function values decrease, indicating a decreasing trend.

Moreover, the graph passes through the point (-6, 0), which lies to the left of the vertex.

This confirms that the function is decreasing for all real values of x less than -4, including x < -6.

On the other hand, the graph also passes through the point (-2, 0), which lies to the right of the vertex.

This does not impact the conclusion that the function is decreasing for x < -4, as the graph's behavior to the right of the vertex is not relevant to this particular statement.

Based on the given information and the properties of the downward-opening parabola, we can conclude that the function is decreasing for all real values of x where x < -4.

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Answer:

Must understand distance and slope formula first:

slope y_2-y_1/x_2-x_1

distance d=√((x_2-x_1)²+(y_2-y_1)²)

(Just search up the formulas if this isn't clear)

Step-by-step explanation:

For #13 take two points and put them in the distance formula remember (#,#) the first # is 'x' the second # is the 'y' in a point.

then you could simply type all that in a calculator and a single number should pop up indicating one of the lines (doesn't matter the #) then do the same for the second points (cuz you used two already you have two left) If the number is same as the first two points it's a pallelagram. (I tested it out got 7.07...)

For the slope you're doing something similar to the distance formula, you're filling out two sets of points into the slope formula if they come out the same # it's parallel.

The present value is $9,824.56.

Future value is the sum of the present value and the interest earned. When an amount earns a simple interest, it means that the present value grows at a linear rate.

Future value = simple interest + present value

Present value = future value - simple interest

Simple interest in a linear function of the present value, the interest rate and the duration of the investment.

Simple interest = present value x interest rate x time

14,000 - p = p x 0.085 x 5

14,000 - p = 0.425p

14,0000 = 1.425p

p = 14,000 / 1.425

p = $9,824.56

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The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.

To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.

Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.

To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:

P(x) = x(24 - x)

This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.

The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.

To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.

Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.

So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.

Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.

To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]

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If Cesar had a bill of $82 for renting an LCD projector, he kept the projector for 4 days, based on the linear equation.

To determine the number of days the projector, we deploy linear equation, which is in the form of y = mx + b, where m is the slope, x and y are variables, and b is the y-intercept.

The flat fee for administrative costs = $10

The variable cost per day = $18

The total bill for renting the projector = $82

The number of days = x

10 + 18x = 82

18x = 72

x = 4

Check:

10 + 18x = 82

10 + 18(4) = 82

10 + 72 = 82

82 = 82

Thus, setting a linear equation, we can determine the number of days the projector was rented as 4 days.

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To sketch the graph of the function y = 4(4)^x, we can start by plotting a few points to get an idea of the shape of the graph.

Let's choose some x-values and calculate the corresponding y-values:

For x = -2, y = 4(4)^(-2) = 4(1/16) = 1/4

For x = -1, y = 4(4)^(-1) = 4(1/4) = 1

For x = 0, y = 4(4)^0 = 4(1) = 4

For x = 1, y = 4(4)^1 = 4(4) = 16

For x = 2, y = 4(4)^2 = 4(16) = 64

Now we can plot these points on a coordinate plane and connect them to form the graph of the function.

The graph of y = 4(4)^x will start at the point (0, 4) and increase rapidly as x increases. It is an exponential growth function where the base is 4.

The domain of the function is all real numbers since there are no restrictions on the values of x.

The range of the function is the set of positive real numbers greater than zero. As x increases, y grows without bound, approaching positive infinity but never reaching zero or becoming negative.

Answer:

64 m²

Step-by-step explanation:

Area of the trapezoid = ½(a + b)h

Where,

a = 6 m

b = 10 m

h = 8 m

Plug in the values

Area = ½(6 + 10)*8

Area = ½(16)*8

Area = 8*8

Area = 64 m²

Answer:

Choices Please?

Step-by-step explanation:

Comment on this

Answer:

.

Step-by-step explanation:

Step-by-step explanation: first one goes to 2 second one goes to 0 and third one goes to 6              I said "get help" on khan academy

The histogram for the given data is displayed below.

A histogram is a visual representation of statistical data that makes use of rectangles to illustrate the frequency of data items in a series of equal-sized numerical intervals. The independent variable is represented along the horizontal axis and the dependent variable is plotted along the vertical axis in the most popular type of histogram.

The given data is 96, 279, 255, 254, 75, 211, 271, 291, 102.

Data in order 75, 96, 102, 211, 254, 255, 271, 279, 291.

From the graph, with intervals 0-74 there are 0 observations

75-149 there are 3 observations

150-224 there is 1 observation

225-299 there are 5 observations

Therefore, the histogram for the given data is displayed below.

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Answer:

i dont see it

Step-by-step explanation:

Answer:

\(\boxed {\boxed {\sf 136}}\)

Step-by-step explanation:

The quadratic formula helps us find the roots of a quadratic equation. The equation is:

\(\begin{array}{*{20}c} {x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}} } \\ \end{array}\)

where \(ax^2+bx+c=0\)

The discriminant is just the part under the square root. This helps tell us if there are two, one, or zero real solutions.

The discriminant is:

\(b^2-4ac\)

We are given the quadratic: \(9x^2-8x-2=0\)

Therefore, a is 9, b is -8, and c is -2.

\(a=9 \\ b= -8 \\c= -2\\\)

\((-8)^2-[4(9)(-2)]\)

Solve the exponent.

\(64-[4(9)(-2)]\)

Multiply 4, 9, and -2.

\(64-(-72) = 64+72 \\=136\)

The discriminant is 136. Since it is a non-zero, positive number, this quadratic has 2 real solutions/zeroes/roots.

9514 1404 393

Answer:

Step-by-step explanation:

The area of each triangular face is given by the formula ...

  A = 1/2bh

The triangular faces have a base of b=8 cm, and a height of h=6 cm. Their area is ...

  A = 1/2(8 cm)(6 cm) = 24 cm²

__

Each of the rectangular faces has a length of 20 cm. The width depends on which face is of interest. In each case, the area is given by ...

  A = LW

Bottom face: A = (20 cm)(8 cm) = 160 cm²

Back face: A = (20 cm)(6 cm) = 120 cm²

Sloped face: A = (20 cm)(10 cm) = 200 cm²

__

The total area is the sum of the areas of all of the faces and bases. There are two triangular bases, so the total area is ...

  (2×24 + 160 +120 +200) cm² = 528 cm²

Answer: -102

Step-by-step explanation: First we do 9-3 = 6, then add -6 which cancels each other out, so all we have left is -102.

Hope this helps! :)

Answer:

-102

Step-by-step explanation:

(+9) - (+3) = +6

(-6) = -6

+ (-102) = -102

so, +6 -6 -102 = -102

Step-by-step explanation:

To find the next term or number, we'll need to keep subtracting 5. So the formula is: n-5

Answer:

-7

...................

Answer:

ask siri

Step-by-step explanation:

go to your phone

go to siri

and then ask her

By using Percentage , Profit distributed to Charity A is £ 624 and Charity B is £ 336

A figure or ratio stated as a fraction of 100 is called a percentage. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.

The Latin phrase "per centum," which meaning "by the hundred," was the source of the English word "percentage." Fractions having a denominator of 100 are called percentages. In other words, it is a relationship where the value of the entire is always assumed to be 100.

Finding the percentage of a whole in terms of 100 is what percentage calculation refers to. A percentage can be found in one of two ways:

Total ticket sold = 800

Cost of each ticket is £ 2

Total fund raised (raw) = 2 * 800 = £1600

4% of the ticket won a prize of £20 each

so total number of tickets winning a prize = 4 % of 800 = 32

Total prize money distributed = 32 * 20 = £ 640

Total amount to distribute to charity = 1600 - 640 = £ 960

Total profit that goes to Charity A is = 65 % of 960 = £624

And rest to charity B is = £ 336

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Answer:

1 29/35

Step-by-step explanation:

I think this is the answer

The inequality tha calculates the possible values of x is x < 2

From the question, we have the following parameters that can be used in our computation:

The figure

Where, we have

3x + 2 < 10

And, we have

2x + 6 < 10

Evaluate the expressions

So, we have

3x < 8 and 2x < 4

Evaluate

x < 8/3 and x < 2

Hence, the inequality tha calculates x is x < 2

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Anna should pay N$289,711.85 in two and a half years from now to meet her obligation.

An interest rate is the rate at which a borrower pays to a lender for the use of borrowed money. It is expressed as a percentage of the principal amount borrowed and is typically calculated on an annual basis.

To solve this problem, we can use the formula for the future value of an annuity:

FV = \(P * [(1 + r)^n - 1]/r\)

Where FV is the future value of the annuity, P is the periodic payment, r is the interest rate per period, and n is the total number of periods.

We know that Anna borrowed N$20,000 at 5% for three and a half years, which is equivalent to 42 months. The periodic payment, P, is the sum of N$2,000 and N$5,000, which is N$7,000.

First, we can calculate the future value of the annuity after 42 months:

FV = 7,000 * [(1 + 0.05/12)\(^42\) - 1]/(0.05/12)

FV = 7,000 * 56.3743

FV = N$394,120.10

Since Anna wants to pay N$8,000 on maturity, she will need to pay N$386,120.10 at the end of the 42 months to meet her obligation.

Now we can calculate how much Anna should pay in two and a half years from now, which is equivalent to 30 months:

\(PV = FV / (1 + r)^n\)

PV = 386,120.10 / (1 + 0.05/12)\(^30\)

PV = N$289,711.85

Therefore, Anna should pay N$289,711.85 in two and a half years from now to meet her obligation.

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Step-by-step explanation:

See bring both like terms together like

7a - 5b

-2a + 1b

=? ? ? ?

Now you identify the answer its so easy I all most said the answer there is nothing to solve actually.

Ok

Answer: 5a-4b

Step-by-step explanation:

=7a+−2a+−5b+b

=(7a+−2a)+(−5b+b)

=5a+(−4b)

=5a-4b

Answer: It will be A that is the best answers

Answer:

16cm^2

Step-by-step explanation:

well if you multiply 4 x 8 to find the area it would be 32 but it is a triangle so divide 32 by 2 to get 16

Answer:

16 cm²

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define

Base b = 8 cm

Height h = 4 cm

Step 2: Find A

Answer:

The value of a - 6c when a = -6 and c = 7 is -48.

Explanation:

To evaluate an expression, simply replace the variables with their corresponding numerical value. Replace "a" with -6 and "c" with 7.

Then, solve.

Hence, the value of a - 6c is -48.