9
LBCA and LACD form a linear pair. LBCA is
represented by (2x - 5)° and LACD is
represented by (3x + 10)°.
What is the mLACD?
A. 35°
B. 61°
C. 65°
D. 115°

The cartesian equation is y=x+1 for the parametric equations x(t)=−8t and

y(t)=−8t+1

A cartesian equation for a curve is an equation in terms of x and y only

The two parametric equations are

x=-8t...(1)

y=-8t+1...(2)

Convert the second equation as below.

(1-y)/8=t

Now plug in t= (1-y)/8 in equation 1.

x=-8(1-y)/8=y-1

x=y-1 is one cartesian equation.

Now let us find the other cartesian equation

t=-x/8

Plug in t value in y.

y=-8(-x/8)+1

y=x+1

Hence the cartesian equation is y=x+1 for both parametric equations x(t)=−8t and y(t)=−8t+1

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To achieve our well-being, women are of the utmost importance because they develop many activities and tasks that contribute to this.

In the attached image we can see an example of a mural on the importance of women.

The importance of women is based on elements such as:

¡Hope this helped!

To achieve our well-being, women are of the utmost importance because they develop many activities and tasks that contribute to this.

The importance of women is based on elements such as:

The values are;

Length = 6 inches

Width = 14 inches

The formula for determining the perimeter of a rectangle is expressed as

P = 2( l + w)

Where;

From the information given, we have;

Length = x

Width = 2(x + 1) = 2x + 2

Now, substitute the values

40 = 2( x + 2x + 2)

expand the bracket

40 = 2(3x + 2)

40 = 6x + 4

collect like terms

6x = 40 - 4

6x = 36

x = 36/6

Divide the values

x = 6 inches

Length = 6 inches

Width = 2( 6 + 1) = 2(7) = 14 inches

Hence, the values are 6 and 14 inches

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The values are;

Length = 6 inches

Width = 14 inches

How to determine the values

The formula for determining the perimeter of a rectangle is expressed as

P = 2( l + w)

Where;

P is the perimeter

l is the length

w is the width

From the information given, we have;

Length = x

Width = 2(x + 1) = 2x + 2

Now, substitute the values

40 = 2( x + 2x + 2)

expand the bracket

40 = 2(3x + 2)

40 = 6x + 4

collect like terms

6x = 40 - 4

6x = 36

x = 36/6

Divide the values

x = 6 inches

Length = 6 inches

Width = 2( 6 + 1) = 2(7) = 14 inches

Hence, the values are 6 and 14 inches

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Answer:

3.456 × 108

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Using CPCTC, the angles of [tex]\triangle BGK[/tex] are [tex]41^{\circ}, 45^{\circ}[/tex], and [tex](11y+6)^{\circ}[/tex].

Using the angle sum of a triangle,

[tex]45+41+11y+6=180 \\ \\ 92+11y=180 \\ \\ 11y=88 \\ \\ y=8[/tex]

Answer:

To find the unknown value in the proportion (2x + 1) / 2 = (x + 2) / 5, we can cross-multiply the terms on the left-hand side and the right-hand side to eliminate the fractions. This gives us the equation 2(2x + 1) = 5(x + 2), which simplifies to 4x + 2 = 5x + 10. Subtracting 4x from both sides of the equation, we get 2 = x + 10, which can be rewritten as x = -8. Therefore, the unknown value in the proportion is x = -8.

Step-by-step explanation:

7.5 cups of tomato paste can be made from 25 pounds and 14 cups can make 46.67 pounds.

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

Given, it takes 10 pounds to make 3 cups of tomato paste.

Thus, with 1 pound, number of cups can be made is equal to (3/10) cups

Thus, using 25 pounds, number of cups can be made is equal to

(3/10)*25

= 7.5 cups

3 cups of tomato paste can be made from 10 pounds

1 cup of tomato paste can be made from (10/3) pounds

14 cups of tomato paste can be made from

(10/3)*14

= 46.67 pounds

Thus, 7.5 cups of tomato paste can be made from 25 pounds and 14 cups can make 46.67 pounds.

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Answer:

[tex]y=-\frac{1}{2}x+1[/tex]

Step-by-step explanation:

The slope of the line is [tex]\frac{5-0}{-8-2}=-\frac{1}{2}[/tex].

So, the equation is

[tex]y=-\frac{1}{2}(x-2) \\ \\ y=-\frac{1}{2}x+1[/tex]

The roots of the equation are x1=1,x2=-5, and x3= 2.

Equation with quadratic roots. The quadratic equation's roots are the values of the variables that fulfill the equation. In other words, if f() = 0, then x = is the quadratic equation's root, f(x). Real roots of an equation f(x) = 0 are the x-coordinates of the places where the curve y = f(x) intersects the x-axis.

The equation x3+2x2-13x+10 has roots that you need to find.

x^3 + 2x^2 -13 x+10=0

In order to determine whether x=1 is a root for the equation, let's first start by substituting it:

1+2 -13 +10 =0

When one of the roots is x=1, a factor is (x-1)

We'll divide the function by the second component to determine it (x-1)

==> x^3 +2x^2-13x +10 =0

==> (x-1)(x^2+3x-10)=0

Consider factoring now:

==> (x-1)(x+5)(x-2)=0

==> x1=1,

x2=-5,

The roots of the equation are and x3= 2.

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Answer: Let x = the charge in 1st city before taxes

Let y = the charge in 2nd city before taxes

Set up equation before taxes.

y = x - 1500        eq1

Set up equation for total tax paid.

0.065x + 0.06y = 378.75         eq2

Substitute eq1 into eq2.

0.065x + 0.06(x - 1500) = 378.75

0.065x + 0.06x - 90 = 378.75

0.125x - 90 = 378.75

0.125x = 468.75

       x = 3750

Substitute this value of x into eq1.

y = 3750 - 1500

y = 2250

The hotel charge in city one is $3750 and the hotel charge in city two is $2250.

Step-by-step explanation:

If the fractional expression (374/x−10) is equivalent to -22​, then the value of [x] is → {x] = -7.

Given is that the fraction → (374/x−10) is equivalent to -22​.

We have -

(374/x - 10) = - 22

374 = - 22(x - 10)

374 = - 22x + 220

374 - 220 = - 22x

154 = - 22x

x = - (154/22)

x = - 7

Therefore, if (374/x−10) is equivalent to -22​, then the value of [x] is -7.

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Answer:

7360

Step-by-step explanation:

(320 · 20) + (320 · 3)

6400 + 960

7360

Answer: 25

Step-by-step explanation:

Answer:

other phones = 173

iphones = 667

Step-by-step explanation:

x = # of students with other phones

4x - 25 = # of students with iPhones

x + (4x - 25) = 840

5x - 25 = 840

5x = 840 + 25 = 865

x = 865/5 = 173

4(173) - 25 = 667

The domain of the function f(x) = -3x³ + 2x² - 5 is (-∞, ∞).

What is domain?

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it may take as input. After we enter an x value, the function outputs this sequence of values.

The domain of a function is the set of input or argument values for which the function is real and defined

The function has no undefined points nor domain constraints. Therefore, the domain is [tex]$$-\infty < x < \infty$$[/tex].

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Answer:

I think its D.

Step-by-step explanation:

Step-by-step explanation:

[tex]81-1\frac{1}{5} x\leq 55\\\\[/tex]

[tex]-1\frac{1}{5}x\leq -26[/tex]

[tex]\frac{1}{5}x\geq 26\\[/tex]

[tex]x\geq 130\\[/tex]

The formula for the function T(x) is T(x) = 18 - x/100

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

Rate = 1°C for every 100 m rise

Ground temperature = 18°C

This means that the function can be represented as

T = Ground temperature (G) - Rate * Height (x)

Where

So, we have

T(x) = 18 - x/100

This means that

x = 6

Recall that

T(x) = 18 - x/100

So, we have

T(6) = 18 - 6/100

Evaluate

T(6) = 17.94

In (a), we have

T(x) = 18 - x/100

This is a linear function

So, the range in interval notation is (-oo, oo)

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Answer: the second one

The quartiles of each data set are explained below.

To find the quartiles of a data set, first ordered the data. Thereafter, determine the following:

1. Order the data set, 4, 6, 5, 6, 2, 7, 6, 8:

2, 4, 5, 6, 6, 6, 7, 8

The center of the data is between 6 and 6. Therefore, the middle = (6 + 6)/2 = 6. This means the median or second quartile = 6

Middle value of the first part of the data = (4 + 5)/2 = 4.5.

Middle value of the second part of the data = (6 + 7)/2 = 6.5

First quartile = 4.5

Second quartile = 6

Third quartile = 6.5

The same way we will also find the quartiles of the other given data set as stated below.

2. For 17, 14, 20, 29, 12, 24, 10, 19, we have:

First quartile = 13

Second quartile = 18

Third quartile = 22

3. For 68, 88, 44, 68, 50, 68, 37, 50, we have:

First quartile = 47

Second quartile = 59

Third quartile = 68

4. For 52, 60, 24, 36, 48, 52, 72, we have:

First quartile = 36

Second quartile = 52

Third quartile = 60

5. For 102, 78, 312, 170, 250, 40, 52, 38, 125, we have:

First quartile = 46

Second quartile = 102

Third quartile = 210

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Answer:

There is no such function

Step-by-step explanation:

They are all different functions

The length of x is 30.

The length of y is 30.

There are three commonly used trigonometric identities.

Sin x = 1/ cosec x

Cos x = 1/ sec x

Tan x = 1/ cot x or sin x / cos x

Cot x = cos x / sin x

We have,

Right triangle.

One angle = 90°

Other two angles = 45°

Hypotenuse = 30

The other two sides are x and y.

Now,

Tan 45 = x/30

1 = x/30

x = 30

Tan 45 = y/30

y = 30

Thus,

30 is the length of x.

30 is the length of y.

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Answer:

4/5 of a kilometer

Step-by-step explanation:

1 ) Turn 5 3/4 into a mixed number

5 3/5 = 28/5

2 ) Since we are trying to find the distance per day we can divide by 7/1

28/5 ÷ 7/1

3 ) The equals 4/5 which is our final answer!

Hope this helps! :)

The values of x in the congruent triangles are as follows:

a. x = 16

b. x = 10

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal .

In other words, triangles that have exactly the same size and shape are called congruent triangles.

The triangles are congruent. Therefore, let's find the x in the triangles.

a.

180 - 54 - 67 = 4x - 5

59 = 4x - 5

59 + 5 = 4x

64 = 4x

divide both sides by 4

x = 64 / 4

x = 16

b.

180 - 58 - 74 = 5x - 2

48 = 5x - 2

48 + 2 = 5x

x = 50 / 5

x = 10

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Here is the two column proof:

     Statement                                        Reason                                              

The value of ∠1 is 58 degree. So the option be is correct.

In the given question we have to find the measure of angle 1.

The given options are:

(a) 92 degree

(b) 58 degree

(c) 122 degree

(d) 30 degree

As we know that the triangle have three sides and three angles. The sum of all angles is 180 degree.

From the given question we can see that the

Angle two ∠2 = 92 degree

Angle three ∠3 = 30 degree

So ∠1+∠2+∠3 = 180

Now putting the value

∠1+92+30 = 180

∠1+122 = 180

Subtract 122 on both side, we get

∠1 = 58

Hence, the value of ∠1 is 58 degree. So the option be is correct.

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Answer: [tex]z^{10}[/tex]-5

Step-by-step explanation:

The relationship between angles R and R is: B. m∠M > m∠R.

The size of the angles in a triangle is related to the length of the side they are opposite to. That is, the largest angle is opposite the longest side and vice versa. This is the basis of the relationship of the corresponding angles of two triangles with two equal sides, and a third unequal sides.

In the image given, we see that two corresponding sides of the two triangles are equal to each other, MN = RS, and MP = RT.

Since the side that is opposite to the third angle in triangle MNP is greater than the side that is opposite to the third angle in triangle RST, NP > ST, therefore, it follows that the size of angle M that is opposite to side NP would be greater than the size of angle R that is opposite to side ST.

In conclusion, we can state that the relationship is, B. m∠M > m∠R.

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Answer:

Step-by-step explanation:

The compound interest period rate is P = Po(1±r/t)n(t)

Here,

r = .039

t = 365

The daily rate in this situation is = .039/365

The factor for 1 compounding period for a year = (1+(.039/365))365 = 1.039768317

The growth factor is = 3.9768317%

The accounts value's growth factor is 1.0000107227, and the percent change per compounding period is 0.107227%.

What is the growth factor?

The account value's growth factor is the factor by which the account value increases each compounding period. It is given by the formula:

[tex]$growth factor$ = (1 + APR /{$compounding frequency$}) ^ {($compounding frequency$ / $period$)}[/tex]

In this case, the APR is 3.9%, the compounding frequency is 365 times per year (daily), and the period is one year. Plugging these values into the formula, we get:

growth factor = (1 + 0.039 / 365) ^ (365 / 1) = 1.0000107227

The percent change per compounding period is the amount by which the account value increases each compounding period, expressed as a percentage. It is given by the formula:

percent change = (growth factor - 1) * 100

Plugging the value of the growth factor that we calculated earlier into this formula, we get:

percent change = (1.0000107227 - 1) * 100 = 0.107227%

Therefore, the account value's growth factor is 1.0000107227, and the percent change per compounding period is 0.107227%.

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The average amount of time pupils spend moving from one classroom to the next is something a teacher wishes to estimate.

What is interval?

His research assistant reports the confidence interval with four decimal places and the "sample mean" with two decimal places using the sample time of 33 pupils. the sample mean duration applied to the confidence interval computation. the final result to the nearest whole number, and the confidence level if the sample standard deviation used for the interval is three decimal places. Confidence interval% level. His research assistant reports the confidence interval using a sample size of 41 pupils. His research assistant reports the confidence using a sample of 38 students. the sample mean duration applied to the confidence interval computation. 90 percentile of the population proportion's confidence interval.

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