Answer the question.

Answer:

45 = ABD

Step-by-step explanation:

ABC = ABD + DBC

115 = ABD + 70

Subtract 70 from each side

115 - 70 = ABD

45 = ABD

Answer:

The angles are 78° and 102°.

Step-by-step explanation:

Let the one angle is y and the other number if y + 24.

The sum of the angles of the linear pair is 180°.

So, according to the question

y + y + 24 = 180

2 y = 180 - 24

2 y = 156

y = 78°

So, one angle is 78° and the other is 78° + 24° = 102°.

Answer:

13.76

Step-by-step explanation:

Find the area of the entire square (8 x 8 = 64)

Find the area of the circle (3.14 x 4^2 = 50.24)

Subtract the two (64 - 50.24 = 13.76)

Answer:

27.7

Step-by-step explanation:

Pythagorean Theorem

[tex]88.3^{2}[/tex] - [tex]10.7^{2}[/tex] = [tex]x^{2}[/tex]  (10.7 comes from half of the 21.4 side)

[tex]x^{2}[/tex] = height

Answer:

x = -30

Step-by-step explanation:

g(x)= -2/3x+5

Let g(x) = 25

25= -2/3x+5

Subtract 5 from each side

25-5= -2/3x+5-5

20 = -2/3x

Multiply each side by -3/2

-3/2 * 20 = -3/2 * -2/3 x

-30 = x

Answer:

x = -30

Step-by-step explanation:

g(x)= -2/3x+5

25 = -2/3x + 5

20 = -2/3x

x = -30

Answer:

this means that for just an hour or 2 you're going to pay $25/hour which would be the initial value...but if you keep it for 5 hours you only pay $16/hour...the more you buy the less you pay per thing you're buying. ...this is a partial relationship, because there is an initial value greater than 0, and has a constant rate of change. a direct relationship would be when one variable did affects the other, meaning when one changes, so does the other ....it would mean the price got cheaper by a certain amount with every hour added ...in this example, the price doesn't get cheaper until hour 5, meaning the initial value is affected by the variable of hours rented...but is not a constant change, it is a partial change because it only changes under certain circumstances, (5 hours) rather than changing constantly with each passing hour....

Answer:

19.8 m

Step-by-step explanation:

To find the height of the tree, we can use the trig ratio tangent:

θ = angle, h = height

tan θ [tex]= \frac{opposite}{adjacent}[/tex]

tan 33° = h / 30.5

h = (tan 33°)(30.5)

h = (0.6494)(30.5)

h = 19.8 m

Answer:

1/7^10

Step-by-step explanation:

7^-10

=1/7^10

Answer:

4, x-1

Step-by-step explanation:

The first piece of this function goes from -1 to 1. Since that part of the function is a horizontal line at y=4, and has no slope, this first part is just 4.

The second piece of this function goes from 3 to 5. This piece does have a slope that you can either solve or just from reading the graph will give you a slope of 1. Since one of the points is (3, 2), we can figure out that the y-intercept is -1. (You can also just extend the line across the y-axis). When putting this equation together we get x-1 being the second part.

The solution is:

The graph represents the piecewise function:

f(x)= { 4, if -1 ≤ x ≤ 1;

         (x - 1), if 3 ≤ x ≤ 5 }

In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

here, we have,

The first piece of this function goes from -1 to 1.

Since that part of the function is a horizontal line at y=4, and has no slope, this first part is just 4.

so, we have,

The second piece of this function goes from 3 to 5.

This piece does have a slope that you can either solve or just from reading the graph will give you a slope of 1.

Since one of the points is (3, 2), we can figure out that the y-intercept is -1. (You can also just extend the line across the y-axis).

When putting this equation together we get x-1 being the second part.

Hence, The solution is:

The graph represents the piecewise function:

f(x)= { 4, if -1 ≤ x ≤ 1;

         (x - 1), if 3 ≤ x ≤ 5 }

To learn more on graph click:

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Rewrite the equation in expanded form:

(X+2)^2 -1 = x^2 + 4x + 3

The parabola parameters are : a = 1, b = 4, c = 3

The x vertex is -b/2a = -4/2(1) = -2

Replace x with -2 in the expanded equation to solve for the y vertex:

Y = -1

The vertex is (-2,-1)

x-value of the vertex:-2

Answer:

Solution given:

we have

f(x)=(x+2)²-1

y=x²+4x+3......(I)

parameters of parabola are:

a=1

b=4

c=3

we have

vertex=-b/2a=-4/(2*1)=-2

substitute value of x in equation 1.

y=4-8+3= -1

So

vertex(-2,1)

Answer:

[tex] \frac{3}{x - 1} - \frac{4}{2 } - \frac{2}{x - 1} \\ = \frac{(3 - 2)}{x - 1} - 2 \\ = \frac{1}{x - 1} - 2 \\ = \frac{1 - 2x + 2}{x - 1} \\ = \frac{3 - 2x}{x - 1} [/tex]

Answer:

53,901

Step-by-step explanation:

Here is the complete question :

In which number does the digit 5 have a value that is ten times greater than the value of the digit 5 in the number 245,093?

43,567

45,248

53,901

562,011

In the number 245,093 :

3 = units

9 = tens

0 = hundred

5 = thousand

4 = ten thousand

2 = hundred thousand

the value of 5 in the number is 5000. the number that would have a value that it 10 times greater than 5 in 245,093 must occupy the value  of ten thousand.

looking through the options, it is only in 53,901 that 5 occupies a value of ten thousand

Answer:

18. C

19.A

20. C

Step-by-step explanation:

18.

x< 15 where x is the average that each person contributes.

This gives 3x <45, limiting the gift basket's total cost to < $45. (Actually ≤ 14.99 per person, so max cost is $44.97.

19. simple algebra

a <= -4 + 7

a <= 3

20.

since u divide and the co efficient is negative u flip the sign

-3m<15

m>-5

Answer:

4X+5

Step-by-step explanation:

Dan : X

Harry: X+5

Regan: 2X

X+X+5+2X

Answer:

[tex]Mean = \frac{4x + 5}{3}[/tex]

Step-by-step explanation:

Given:

Dan sold = x

Harry sold 5 more than Dan, that is = x + 5

Regan sold twice as Dan = 2x

[tex]Mean = \frac{ Total \ cars \ sold}{number\ of \ them \ sold \ it }\\\\Mean = \frac{x + ( x+ 5) +2x }{3} = \frac{4x + 5}{3}[/tex]

Answer:

AB

Step-by-step explanation:

Definition of a chord

Answer:

136 sq units

Step-by-step explanation:

area = length  * width

a = 17 * 8

a = 136 sq units

The area of the rectangle is given by the equation A = 136 units²

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangle be represented as A

Let the length of the rectangle be L

Now , the value of L = 17 units

Let the width of the rectangle be W

Now , the value of W = 8 units

And , Area of Rectangle = Length x Width

On simplifying , we get

Area of rectangle A = 8 x 17

Area of rectangle A = 136 units²

Therefore , the value of A is 136 units²

Hence , the area of rectangle is 136 units²

To learn more about area of rectangle click :

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Answer:

r=2p

Step-by-step explanation:

If r is ruler and p is pen, ruler equals pen times 2, so its r=2p

Answer:

slope

Step-by-step explanation:

The slope is the rise divided by the run

Answer: The slope.

Step-by-step explanation: That's what I think.

Answer:

she needs at least a 93 on her next quiz

Step-by-step explanation:

hope this helps mate

Answer:

[tex]y=-5x+2[/tex]

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where two points that the line passes through are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (1,-3) and (-3,17)

[tex]=\frac{17-(-3)}{-3-1}\\=\frac{17+3}{-3-1}\\=\frac{20}{-4}\\=-5[/tex]

Therefore the slope of the line is -5. Plug this into [tex]y=mx+b[/tex]:

[tex]y=-5x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=-5x+b[/tex]

Plug in one of the given points and solve for b

[tex]-3=-5(1)+b\\-3=-5+b[/tex]

Add 5 to both sides of the equation to isolate b

[tex]-3+5=-5+b+5\\2=b[/tex]

Therefore, the y-intercept of the equation is 2. Plug this back into [tex]y=-5x+b[/tex]:

[tex]y=-5x+2[/tex]

I hope this helps!

Answer:

The equation has 0 solutions (answer C).

Step-by-step explanation:

Starting with x = x - 9, we subtract x from both sides.  This leaves us with:

0 = -9,

which is never true.

The equation has 0 solutions (answer C).

Answer:

I hope the above picture help you mate

have a great day

I did it in white board so that I can explain better.i hope you understand if u have any problem in understanding be sure to reach out

#liliflim

Answer:

see below

Step-by-step explanation:

all formulas of exponent given by:

[tex] \displaystyle {x}^{1} = x \stackrel{ \rm example}{ \iff} 2^{1} = 2[/tex]

[tex] \displaystyle{x}^{0} = 1\stackrel{ \rm example}{ \iff} 2^{0} = 1[/tex]

[tex] \rm \displaystyle {x}^{m} \cdot { x }^{n} = {x}^{m + n} \stackrel{ \rm example}{ \iff} x^{1 } \cdot {x}^{2} = x^{1 + 2 } = {x}^{3} [/tex]

[tex] \displaystyle \sqrt[n]{{x} }= x^{1/n} \stackrel{ \rm example}{ \iff} \sqrt[3]{x} = x^{1/3}[/tex]

[tex] \rm \displaystyle \frac{{x}^{m} }{ { x }^{n}} = {x}^{m - n} \stackrel{ \rm example}{ \iff} \frac{x^{3} }{ {x}^{1} } = x^{3 - 1} = {x}^{2} [/tex]

[tex] \rm \displaystyle ({x}^{m} {)}^{n} = {x}^{m n} \stackrel{ \rm example}{ \iff} (x^{1 } {)}^{2} = x^{ 2 } [/tex]

[tex] \rm \displaystyle ({x}^{m} {y}^{m} {)}^{n} = {x}^{m n} {y}^{mn} \stackrel{ \rm example}{ \iff} (x^{1 } { {y}^{1} )}^{2} = x^{ 2 } {y}^{2} [/tex]

[tex] \rm \displaystyle \left(\frac{{x}^{} }{ { y }^{}} \right) ^{m} = \frac{{x}^{m} }{ { y }^{n} } ^{} \stackrel{ \rm example}{ \iff} = \left(\frac{ {x}^{2} }{ {y}^{2} } \right)^{2} = \frac{ {x}^{4} }{ {y}^{4} }[/tex]

[tex] \displaystyle {x}^{ - n} = \frac{1}{ {x}^{n} } \stackrel{ \rm example}{ \iff} x^{ - 2} = \frac{1}{ {x}^{2} } [/tex]

Answer:

6.28km

Step-by-step explanation:

Hey,

We know that the circumfrence is the perimetert of a full circle. If we want to find the perimeter of a semicircle all we have to do is find the circumfrence and then divide it by 2 since we want to know the perimeter of half the circle.

Circumfrence is equal to 2πr. Where r is the radius and since we know the radius we an solve for the circumfrence.

2(π)(1km)=2kmπ.

The problem tells us to use 3.14 for pi so let's multiply 2 by 3.14.

6.28km is the answer!

Answer:

7.6 inches

Step-by-step explanation:

We solve the above question using the Law of Cosines.

The formula is given as:

h² = i² + j² - 2ij Cos H

h = √i² + j² - 2ij Cos H

From the above question:

i = 6.6 inches

j = 6.4 inches

Length h = ?

Angle H=62º.

Hence:

h= √6.6² + 6.4² - 2 × 6.6 × 64 × Cos 62

h = √43.56 + 40.96 - 84.48 × Cos 62

h = 7.64292 inches

Approximately to the nearest tenth, Length h = 7.6 inches

Answer:

6.7

Step-by-step explanation:

square root and round

Answer: 24/87 or 8/29

Step-by-step explanation:

24+13+15+10+15+10=87, the total amount of M&M's.

24 are brown, so 24/87 chance that he will draw a brown one.

24/87 = 8/29 simplified.

Answer:

His time would be least likely greater than 27.9 minutes or smaller than 21.5 minutes.

Step-by-step explanation:

With an standard deviation of 3.2 minutes, it is clear that the maximum time taken by Roman to complete his run of 3 miles would be

Average time + standard deviation = 24.7 minutes + 3.2 minutes = 27.9 minutes

The minimum time taken by Roman to complete his run of 3 miles would be

Average time - standard deviation = 24.7 minutes  - 3.2 minutes = 21.5 minutes

Hence, his time would be least likely greater than 27.9 minutes or smaller than 21.5 minutes.

Answer:

2x+6>20

2x>20-6

2x/2>14/2

x>7

So your answer would be B

Answer:

y=3/5x+1

Step-by-step explanation:

Hi there!

We are given the equation -3x+5y=-8 and we want to find the equation of the line that is parallel to -3x+5y=-8 and contains the point (-15,-8)

parallel lines have the same slopes, but different y intercepts.

So let's first find the slope of -3x+5y=-8

We can do this by converting the equation from standard form (ax+by=c where a, b, and c are free coefficients (numbers)) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)

add 3x to both sides

5y=3x-8

divide by 5 on both sides

y=3/5x-8/5

3/5 is in the place of where m is, so that means that 3/5 is the slope of the line

we can write the equation of the new line in slope-intercept form.

Here it is so far:

y=3/5x+b

we need to find b

Because the line will pass through the point (-15,-8), we can use it to solve for b

substitute -15 as x and -8 as y

-8=3/5(-15)+b

multiply

-8=-9+b

add 9 to both sides

1=b

substitute 1 as b into the equation

y=3/5x+1

There's the equation of the line :)

Hope this helps!

Answer:

Standard form: 62,080,126

Word form: Sixty-two million, eighty thousand, one hundred twenty-six

Expanded form: 60,000,000 + 2,000,000 + 80,000 + 100 + 20 + 6