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29.

Select the three statements that are true.


a. -11 > -6


b. -5 > -7


c. -4 > -6


d. -9 > 7


e. 8 < -1


f. -5 < -4

Note: Let us consider, we need to find the [tex]m\angle ABC[/tex] and [tex]m\angle DBC[/tex].

Given:

In the given figure, BD is the angle bisector of ABC.

To find:

The [tex]m\angle ABC[/tex] and [tex]m\angle DBC[/tex].

Solution:

BD is the angle bisector of ABC. So,

[tex]m\angle ABD=m\angle DBC[/tex]

[tex]3x=x+20[/tex]

[tex]3x-x=20[/tex]

[tex]2x=20[/tex]

Divide both sides by 2.

[tex]x=\dfrac{20}{2}[/tex]

[tex]x=10[/tex]

Now,

[tex]m\angle DBC=(x+20)^\circ[/tex]

[tex]m\angle DBC=(10+20)^\circ[/tex]

[tex]m\angle DBC=30^\circ[/tex]

And,

[tex]m\angle ABC=(3x)^\circ+(x+20)^\circ[/tex]

[tex]m\angle ABC=(4x+20)^\circ[/tex]

[tex]m\angle ABC=(4(10)+20)^\circ[/tex]

[tex]m\angle ABC=(40+20)^\circ[/tex]

[tex]m\angle ABC=60^\circ[/tex]

Therefore, [tex]m\angle DBC=30^\circ,m\angle ABD=30^\circ[/tex] and [tex]m\angle ABC=60^\circ[/tex].

Answer:

This cant be an accurate question, i drew the diagram and before i got to the people who only have birds i already had over 40 people total

Step-by-step explanation:

Answer:

Exponential

Step-by-step explanation:

By visual inspection the graph generated by the points plotted is an exponential graph as the graph curves upward. The graph is also continous and differs from either a decreasing or increasing Linear graph, which shows a straight best of fit pattern. Hence, the graph most closely represents an exponential graph from visual examination.

The best-fitting regression model for the considered data plot is given by:

Option A: Exponential.

When the data shows some trend, either linear (making a line), or non-linear (a predictable curve), we fit a mathematical curve on that data set, as a representative of the pattern in that data set, to predict the output based on the inputs.

The considered plot is not forming a straight line(so no linear fitting), but we can see that a smooth curve can be fitted in the considered data. Since the exponential functions' graph approximately goes the same way (for positive exponent, and increasing value of output).

Thus, the best-fitting regression model for the considered data plot is given by: Option A: Exponential.

Learn more about exponential functions here:

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Answer:

$56.32

Step-by-step explanation:

Find the selling price by multiplying the original cost by 1.76:

32(1.76)

= 56.32

So, the selling price is $56.32

Answer:

7

Step-by-step explanation:

70+16x-2

68+16x=180

16x=180-112

x=112/16

x=7

Answer:

x = 7

Step-by-step explanation:

70 + 16x - 2 = 180 degree (being co interior angle)

68 + 16x = 180

16x = 180 - 68

16x = 112

x = 112/16

x = 7

Answer:

make y the subject first

Step-by-step explanation:

y=5/7(x) -27/7

parallel lines have equal gradient m1=m2

y-y1=m(x-x1)

y-(-3)=5/7(x-4))

y=5/7(x) -20/7 -3

final answer

y=5/7(x) -41/7

Answer:

the number of student that took the test is missing

I think it is 100?

79 is 1 sigms (1 standard deviation) above the mean....

1 sd is 84% ... 16% are above the 79

multiply the students that took the test by .16

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is 159. i just took the test and got it right

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the triangles CAP and HIT are not given. The general explanation to solve sides of similar triangles is as follows;

[tex]\triangle CAP \sim \triangle HIT[/tex] implies that the following sides are similar:

[tex]CA \to HI[/tex]

[tex]AP \to IT[/tex]

[tex]PC \to TH[/tex]

Take for instance:

[tex]CA = y[/tex]     [tex]HI = b[/tex]

[tex]AP = 20[/tex]    [tex]IT = 38[/tex]

Then the solution is:

[tex]CA : HI = AP : IT[/tex]

Substitute values for CA, HI, AP and IT

[tex]y : b= 20 : 38[/tex]

Express as fraction

[tex]\frac{y }{ b}= \frac{20 }{ 38}[/tex]

Multiply both sides by b

[tex]y= \frac{20 }{ 38}*b[/tex]

Substitute 19 for b

[tex]y= \frac{20 }{ 38}*19[/tex]

[tex]y= \frac{20 }{ 2}[/tex]

[tex]y=10[/tex]

Answer:

16 pi

Step-by-step explanation:

The base is the circle

A = pi r^2

A = pi (4)^2

A = 16 pi

Answer: 16[tex]\pi[/tex] square units

Step-by-step explanation:

This figure is a cylinder. The base of a cylinder is a circle. The formula for finding the area of a circle is [tex]\pi r^2[/tex]. The radius in the image is 4. Now we can solve

[tex]\pi 4^2\\\pi 16\\16\pi[/tex]

Answer:

mean = 5

median = 4.5

mode = 4

Step-by-step explanation:

Mean :

n = 8

sum of all items = 4+6+5+4+4+5+4+8

= 10+9+9+12

= 19+ 21

= 40

so,

mean = sum of all items/ n

= 40/8

= 5

mean = 5

Median:

ascending order: 4,4,4,4,5,5,6,8

n = 8

md = (n+1)/2 the term

= (8+1)/2 th term

= 9/2 th term

= 4.5 th term

= (4th + 5th) / 2

= (4+5)/2

= 9/2

= 4.5

median = 4.5

x. f.

4. 4

5. 2

6. 1

8. 1

here the highest frequency is 4 and 4 is corresponding to 4

so, mode = 4

Answer:

second option is correct

Answer:

Substitute your answer for Step 1 into the second equation to solve for Z.

Answer:

c < 56

Step-by-step explanation:

Maya buys candy that costs $8 per pound. She will buy less than 7 pounds of candy. What are the possible amounts she will spend on candy? Use c for the amount (in dollars) Maya will spend on candy. Write your answer as an inequality solved for c.

c < 7 × $8

c < $56

Answer:

18 i think sorry if i am wrong

Step-by-step explanation:

Answer:

Answer:

8x² + 8

Step-by-step explanation:

Given

(x² + 3)² - (x² - 1)² ← expand factors using FOIL

= [tex]x^{4}[/tex] + 6x² + 9 - ([tex]x^{4}[/tex] - 2x² + 1) ← distribute by - 1

= [tex]x^{4}[/tex] + 6x² + 9 - [tex]x^{4}[/tex] + 2x² - 1 ← collect like terms

= 8x² + 8

Answer:

8

Step-by-step explanation:

Let's say that the amount of lollipops Lydia buys is represented by x and the number of candy bars is represented by y. For each x, Lydia spends 0.50, and for each y, Lydia spends 1.50. This means that the total amount she spends can be represented by the equation 0.50*x+1.50*y. Our equation is then 0.50*x+1.50*y=15

Using our equation, we can plug 6 in for x, resulting in 0.50*6+1.50*y=15, so [tex]0.50x+1.50y=15\\0.5(6)+1.50y=15\\3+1.50y=15\\1.50y=12\\y=8[/tex]

In this set of equations, we plugged 6 in, multiplied it out, then subtracted 3 from both sides, and finally divided both sides by 1.50 to get 8 as our answer.

Answer:

-80

Step-by-step explanation:

So basically what we need to do is find the value of x that satisfies the equation.

When I mean satisfy, I basically mean a value of x that makes one side of the equals sign equal to the other side of the equals sign.

So in this case, we need -6 = -6.

To find this lets solve the equaion step by step:

-6=x/8+4

So first off, you always want to get the variable on one side, and the number on the other.

This means you want to subtract the 4 from both sides, leaving x/8:

-6=x/8+4

-4       -4

-10=x/8

Whenever x is not 1x, you have to divide or multiply to get it equal to 1x.

If this is a bit confusing, here is an example:

100=10x

We need 1x, but above is 10x. The reason why we want 1x is because it is the lowest ratio, and most accurate x value.

You can think of it like a 1 dollar bill. Its easier and better to use than per say a 3 dollar bill.

So in the example above you would divide by 10, since 10x/10 would equal 1x.

Remember the rule however, that what you do on one side you must do on the other. This emans you would divide both sides by 10:

100/10 =10x/10

=

10=1x

We have in our equation:

-10=x/8

Our x is lower than 1. It x/8. Whenever we have a value of x greater than 1, we divide, like we did in the example. However here, it is below x. So we multiply.

In this case we multiply by 8, since its x/8:

-10 * 8 = x/8 * 8

=

-80=x

So x is equal to -80.

I hope you understand it better now :D

Answer:

[tex]\text{A. }\frac{4\sqrt{14}}{{7}}[/tex]

Step-by-step explanation:

In any right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side. Therefore, we can form a right triangle with non-right angle [tex]\theta[/tex] and its opposite side [tex]\sqrt{7}[/tex] and its adjacent side [tex]5[/tex].

By definition, [tex]\csc \theta=\frac{1}{\sin\theta}[/tex].

In any right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle. To find the hypotenuse, use the Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse, or longest side, of the right triangle and [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle.

Solving, we get:

[tex]5^2+\sqrt{7}^2=c^2,\\25+7=c^2,\\c^2=32,\\c=\sqrt{32}=4\sqrt{2}[/tex]

Therefore, we have:

[tex]\csc \theta = \frac{1}{\sin \theta}=\frac{1}{\frac{\sqrt{7}}{4\sqrt{2}}},\\\\\csc \theta=1\cdot \frac{4\sqrt{2}}{\sqrt{7}},\\\\\csc \theta =\frac{4\sqrt{2}}{\sqrt{7}}\cdot \frac{\sqrt{7}}{\sqrt{7}}=\boxed{\text{A. }\frac{4\sqrt{14}}{{7}}}[/tex]

Answer: Choice A)   [tex]\frac{4\sqrt{14}}{7}[/tex]

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

Explanation:

Refer to the figure below. We start off drawing a right triangle that has opposite side sqrt(7) and adjacent side 5.

This is because tan = opposite/adjacent.

Use the pythagorean theorem to find the hypotenuse is sqrt(32) which simplifies like so

sqrt(32) = sqrt(16*2) = sqrt(16)*sqrt(2) = 4*sqrt(2)

The last thing to do is to take the ratio of the hypotenuse over the opposite side. Recall that csc, aka cosecant, is the reciprocal of sine.

sin = opposite/hypotenuse

csc = hypotenuse/opposite

---------

So we get the following

[tex]\csc{\theta} = \frac{\text{hypotenuse}}{\text{opposite}}\\\\\csc{\theta} = \frac{4\sqrt{2}}{\sqrt{7}}\\\\\csc{\theta} = \frac{4\sqrt{2}*\sqrt{7}}{\sqrt{7}*\sqrt{7}}\\\\\csc{\theta} = \frac{4\sqrt{2*7}}{\sqrt{7*7}}\\\\\csc{\theta} = \frac{4\sqrt{14}}{\sqrt{49}}\\\\\csc{\theta} = \frac{4\sqrt{14}}{7}\\\\[/tex]

So that's why the answer is choice A.

Answer:

Step-by-step explanation:

4986 ounces/m³

Step-by-step explanation:

1 kilogram = 35.274 ounces

1 cubic foot = 0.0283 cubic metre

We are converting kg/ft³ to ounces/m³

Hence:

4kg/ft³ × 35.274 ounces/ 1 kg × 1 ft³/0.0283m³

= 4985.7243816 ounces/m³

Approximately to the nearest whole number = 4986 ounces/m³

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The density of the material is approximately 123 ounces per cubic meter.

Density [tex](\(D\))[/tex] is defined as mass [tex](\(m\))[/tex] per unit volume [tex](\(V\))[/tex], and it is calculated using the formula:

[tex]\[ D = \frac{m}{V} \][/tex]

In this case, the density is given in kilograms per cubic foot. To convert this to ounces per cubic meter, we need to perform the following steps:

Step 1: Convert kilograms to ounces:

1 kilogram = 35.27396 ounces

Step 2: Convert cubic feet to cubic meters:

1 cubic foot = 0.0283168 cubic meters

Now, let's substitute the given values and perform the conversion:[tex]\[ \text{Density in ounces per cubic meter} = \frac{4 \, \text{kg} \times 35.27396 \, \text{ounces/kg}}{1 \, \text{cubic foot} \times 0.0283168 \, \text{cubic meters/cubic foot}} \][/tex]

Solving this equation gives us the density in ounces per cubic meter:

[tex]\[ \text{Density} \approx 123 \, \text{ounces/m}^3 \][/tex]

Rounded to the nearest whole number, the density of the material is approximately 123 ounces per cubic meter.

In summary, we converted the given density from kilograms per cubic foot to ounces per cubic meter using unit conversions.

This involved converting the mass units and volume units before performing the calculation to obtain the final density value in the desired units.

To know more about Density here

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Answer:

In other words y = 2-x

Put in some values of x and see which graph matches the given ys.

The last graph

Answer:

b

Step-by-step explanation:

Answer:

$28

Step-by-step explanation:

original price = $40

discount = 30%

discount amount = 30% of original price

=30/100 * 40

=$1200/100

=$12

sale price = original price - discount amount

=$40 - $12

=$28

Answer:

no solution

Step-by-step explanation:

y = x+1 and y = x + 2 don't touch because they are parallel

if you don't know what parallel means, just search it up, but i can explain it to you:

parallel means same slope or same steepness of line

Answer:

hope this will help you more

Answer:

[tex]x^2-5x+6[/tex]

x = 3, x = 2

[tex]x^2-11x+28[/tex]

x = 7, x = 4

Step-by-step explanation:

One is asked to solve two quadratic equations. Both of these quadratic equations are in standard form. This means that the two equations follow the following general format;

[tex]ax^2+bx+c[/tex]

The quadratic formula is a method of solving a quadratic equation using the coefficients of the terms in the equation. The quadratic equation is the following,

[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]

Substitute in each of the terms and solve for the roots in each equation;

[tex]x^2-5x+6[/tex]

Substitute, and solve

[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(1)(6)}}{2(1)}\\\\=\frac{5(+-)\sqrt{25-25}}{2}[/tex]

[tex]=\frac{5+1}{2}[/tex]          [tex]=\frac{5-1}{2}[/tex]

[tex]=3[/tex]               [tex]=2[/tex]

[tex]x^2-11x+28[/tex]

Substitute, and solve

[tex]\frac{-(-11)(+-)\sqrt{(-11)^2-4(1)(28)}}{2(1)}\\=\frac{11(+-)\sqrt{121-112}}{2}[/tex]

[tex]=\frac{11+\sqrt{9}}{2}[/tex]           [tex]=\frac{11-\sqrt{9}}{2}[/tex]

[tex]=\frac{11+3}{2}[/tex]              [tex]=\frac{11-3}{2}[/tex]

[tex]=7[/tex]                     [tex]=4[/tex]

Answer:

x = 8

Step-by-step explanation:

Given

3(x - 1) - 2(x - 1) = 7 ← distribute both parenthesis on left side

3x - 3 - 2x + 2 = 7 , simplifying

x - 1 = 7 ( add 1 to both sides )

x = 8

Answer:

Option A

Step-by-step explanation:

Angular velocity of an object is defined by,

Angular velocity (w) = [tex]\frac{\triangle \theta}{\triangle t}[/tex]

Here, Δθ = Change in angle of rotation

Δt = Duration or time

In this question Δθ = [tex]\frac{7\pi }{2}[/tex] radians and Δt = 24 seconds

Therefore, angular velocity = [tex]\frac{\frac{7\pi }{2} }{24}[/tex]

                                              = [tex]\frac{7\pi }{48}[/tex] radians per second

Option A is the answer.

Answer:

If the probability is that it WILL rain 1/5.  Then the remaining chances are the number it will not rain.  The denominator tells us that there are at total of 5 chances.  That leaves a 4/5 chance it will not rain.

Step-by-step explanation: