What is the measure of <7?

Answer:

B. 62.5 m

Step-by-step explanation:

∠EDF and ∠ADC are vertical angles, and therefore equal.

EF and AC are parallel, so ∠DEF and ∠DAC are alternate interior angles, as well as ∠DFE and ∠DCA.  Therefore, each pair is equal.

From this, we can say ΔDEF and ΔDAC are similar triangles.  So we can write a proportion:

10 / 20 = DB / 125

DB = 62.5

Answer:

The correct option is B.

Step-by-step explanation:

Given information: In ΔEDF, FE=20 m and height = 10 m. In ΔADC, AC=125 m.

From the given information, we conclude that AC║EF.

In ΔEDF and ΔADC,

[tex]\angle E=\angle A[/tex]          (Alternate interior angles)

[tex]\angle EDF=\angle ADC[/tex]          (Vertically opposite angle)

By AA rule of similarity,

[tex]\triangle EDF\sim \triangle ADC[/tex]

The corresponding sides of two similar triangles are similar. So in ΔEDF and ΔADC,

[tex]\frac{base}{height}=\frac{FE}{h}=\frac{AC}{DB}[/tex]

[tex]\frac{20}{10}=\frac{125}{DB}[/tex]

[tex]2=\frac{125}{DB}[/tex]

On cross multiplication, we get

[tex]2DB=125[/tex]

Divide both sides by 2.

[tex]\frac{2DB}{2}=\frac{125}{2}[/tex]

[tex]DB=62.5[/tex]

Therefore the correct option is B.

Answer:

193.8

Step-by-step explanation:

Mean is the average. Find the average by dividing the sum of all numbers by the amount of numbers.

108+305+252+113+191

divided by 5

108+305+252+113+191= 969

969/5= 193.8

Final answer:

The mean of 108, 305, 252, 113, and 191 is 193.8.

Explanation:

To find the mean of a set of numbers, you need to add up all the numbers in the set and then divide the sum by the total number of values.

In this case, we have the numbers 108, 305, 252, 113, and 191.

To find the sum, you add these numbers together:

108 + 305 + 252 + 113 + 191 = 969.

Next, you divide this sum by the total number of values, which is 5 in this case.

So, the mean is 969 ÷ 5 = 193.8.

This is the average value of the set of numbers provided.

Answer:

1 2/5 times as much as his sister

Step-by-step explanation:

3 1/2x * 2/5 = 1 2/5x

Answer:

6 is constant of the function .

Step-by-step explanation:

Given : f(x)=8x²−7x+6.

To find :  What is the constant of the function?

Solution : We have given that  f(x)=8x²−7x+6.

Standard quadratic equation : ax² +bx +c = 0.

Here,

a is the coefficient  of x² and b is the coefficient of x .

c = constant.

Hence on comparing with it standard quadratic equation

Here, 6 is constant.

Therefore, 6 is constant of the function .

Answer:

50

Step-by-step explanation:

Add up the two known angle measurements:

95+35=130

Subtract this number from 180°:

180-130=50

Write down your answer

95+35+25=180

*The three angles should add up to 180° for the triangle to exist*

I hope that helped

Answer:

If you choose any value for k other than 6, that will be give you the one solution.

If k=6, you have no solutions because the lines will be parallel.

Step-by-step explanation:

We are going to put each of this in y=mx+b where m is the slope and b is the y-intercept.

kx+2y=5

Subtract kx on both sides:

    2y=-kx+5

Divide both sides by 2:

     y=(-k/2)x+(5/2)

The slope is -k/2 and the y-intercept is 5/2

3x+y=1

Subtract 3x on both sides:

     y=-3x+1

The slope is -3 and the y-intercept is 1.

We want the system to have one solution so we want the slopes to be difference.

So we don't want (-k/2)=(-3).

Multiply both sides by -2: k=6.

We won't want k to be 6.

Answer:

1,2, 1,203, 12,03, 12,3, 12,301

Step-by-step explanation:

1,2 → 1,200

1,203

12,3 → 12,300

12,301

I am joyous to assist you anytime.

Ordered from least to greatest:

Answer:

[tex]\large\boxed{BC=\sqrt{13}}[/tex]

Step-by-step explanation:

[tex]\text{If}\ a\leq b\leq c\ \text{are lengths of sides of a right triangle, then}\\\\a^2+b^2=c^2.\\\\\text{We have:}\ 2<3<\sqrt{13}\\\\\text{Substitute:}\\\\2^2+3^2=(\sqrt{13})^2\qquad\text{use}\ (\sqrt{a})^2=a\\4+9=13\\13=13\qquad\bold{CORRECT}\\\\\text{The hypotenuse is the longest side of a right triangle.}\\\text{Therefore}\ BC=\sqrt{13}[/tex]

Answer:

7x-48

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}y=6x-27&(1)\\y=4x-17&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\6x-27=4x-17\qquad\text{add 27 to both sides}\\6x=4x+10\qquad\text{subtract}\ 4x\ \text{From both sides}\\2x=10\qquad\text{divide both sides by 2}\\x=5\\\\\text{Put it to (2):}\\\\y=4(5)-17\\y=20-17\\y=3[/tex]

Answer:

[tex]\large\boxed{(6r-1)(-8r^3)=-48r^4+8r^3}[/tex]

Step-by-step explanation:

[tex](6r-1)(-8r^3)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=(6r)(-8r^3)+(-1)(-8r^3)\qquad\text{use}\ (a^n)(a^m)=a^{n+m}\\\\=-48r^{1+3}+8r^3\\\\=-48r^4+8r^3[/tex]

The product of the binomials (6r-1) and (-8r-3) is obtained using the FOIL method, and the final product is -48r² - 10r + 3.

To find the product of the binomials (6r-1) and (-8r-3), we use the distributive property (also known as the FOIL method). The FOIL method stands for First, Outer, Inner, Last, which refers to the multiplication of the respective terms in each binomial.

Applying the FOIL method:

First: Multiply the first terms in each binomial: 6r * -8r = -48r²

Outer: Multiply the outer terms in each binomial: 6r * -3 = -18r

Inner: Multiply the inner terms in each binomial: -1 * -8r = 8r

Last: Multiply the last terms in each binomial: -1 * -3 = 3

Now, combine the like terms (-18r + 8r = -10r) and write the final product: -48r² - 10r + 3

Answer: 4 meters.

Step-by-step explanation: You need to set up the Pythagorean Theorem, which is a^2 + b^2 = c^2. The c is the hypotenuse. A is 3 because it is the height. We are trying to find b, the distance from the flower to the tree. C is 5.

Plug in the numbers.

3^2 + b^2 = 5^2.

Simplify.

9 + b^2 = 25.

Isolate b by subtracting 9 from each side.

B^2 =16.

Square root each side.

B = 4.

The flower is 4 meters away from the base of the tree.

Answer:

volume

Step-by-step explanation:

volume is measured in cubic

Answer:

A. Volume

Step-by-step explanation:

IN two-dimension space we use to calculate area, perimeter but not volume.

In three-dimensional space we also find Volume, Surface area and lateral surface area only.

In volume we find what amount of substance kept inside that container/solid.

Perimeter is the length of total boundary.

Surface area is total area of each face.

And, In Lateral surface area we find the area of each face except bottom and top face.

Thus, "the amount of three-dimensional space  inside a solid" is described by VOLUME.

Answer:

W'(27,45)

Step-by-step explanation:

First we must fnd the scale factor of the dilation and then multiply the coordinates of W(3,5) by the scale factor.

Let k be the scale factor of the dilation centered at the origin.

The mapping for a dilation by a scale factor k is

[tex](x,y)\to (kx,ky)[/tex]

[tex]Q( - 3,4)\to Q'( - 3k,4k)[/tex]

But we were given the coordinates of the image, which is

Q'(-27,36)

Comparing coordinates:

[tex]4k = 36[/tex]

[tex] \implies \: k = 9[/tex]

We could compare the first coordinates too and get the same result.

The image of W(3,5) is given by:

[tex]W(3,5) \to \: W'(3 \times 9,5 \times 9)[/tex]

[tex]W(3,5) \to \: W'(27,45)[/tex]

Check the picture below.

Answer:

Step-by-step explanation:

If the circle inscribed in a quadrilateral, then the sums of the opposite sides of the quadrilateral are the same.

Therefore we have the equation:

AB + CD = BC + AD

Therefore the perimeter of polygon ABCD is equal to

P = 2(AB + CD)

Substitute AB = 10.5cm, CD = 12.5cm:

P = 2(10.5cm + 12.5cm) = 2(23cm) = 46cm

Answer : 0

Step-by-step explanation:

2(x−3)+9=3(x+1)+x

2x-6+9=3x+3+x

3-3=4x-2x

0=2x

x=0

The value of x in the equation 2(x−3)+9=3(x+1)+x is 0 option third x = 0 is correct.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have a linear equation in one variable:

2(x−3)+9=3(x+1)+x

2x - 6 + 9 = 3x + 3 + x

Combine like terms

2x + 3 = 4x + 3

x = 0

Thus, the value of x in the equation 2(x−3)+9=3(x+1)+x is 0 option third x = 0 is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

Answer:

[tex]\large\boxed{h(x)=x^3}[/tex]

Step-by-step explanation:

[tex]f(x)=(4x^2-11)^3\\\\f(x)=(h\circ g)(x)=h\bigg(g(x)\bigg)\to\text{exchange x to}\ g(x)=4x^2-11\\\\f(x)=(\underbrace{4x^2-11}_{g(x)})^3=\bigg(g(x)\bigg)^3=h\bigg(g(x)\bigg)\\\\\text{Therefore}\ h(x)=x^3[/tex]

Answer:

the person on top is correct

Step-by-step explanation:

Answer:

B. [tex](x^2 + 5)(x + 1)[/tex]

Step-by-step explanation:

Hello!

We can group the first two terms and the last two terms and factor each group.

Now we can combine the like factors:

The answer is Option B.

Answer:

Another person already answered this question. Their name is writersparadise. I give all credit to him/her for this answer.

Step-by-step explanation:

There could be many answers for this question. In general, the number that comes after 16 is a number with 8 as the sum of its digits.

Explanation:

1st number 31 – Sum of digits is 3 + 1 = 4  

2nd number 1031 – Sum of digits is 1 + 0 + 3 + 1 = 5

3rd number 402 – Sum of digits is 4 + 0 + 2 = 6

4th number 16 – Sum of digits is 1 + 6 = 7

Therefore, the missing number could be the single digit number 8 or any of the two-digit numbers 17, 26, 35, 44, 53, 62, 71 or 80. It could also be a bigger number with the digits of any of the given two-digit numbers and 0 for the other digits such as 260 or 7001.

Read more on Brainly.in - https://brainly.in/question/3032926#readmore

Answer:

c=13.2 units

Step-by-step explanation:

step 1

Find the measure of angle C

Remember that the sum of the internal angles of a triangle must be equal to 180 degrees

so

A+B+C=180°

substitute the given values

16°+49°+C=180°

65°+C=180°

C=180°-65°=115°

step 2

Find the measure of c

Applying the law of sines

c/sin(C)=a/sin(A)

substitute the given values and solve for c

c/sin(115°)=4/sin(16°)

c=4(sin(115°))/sin(16°)

c=13.2 units

Answer:

The correct option is C.

Step-by-step explanation:

From the given information it is clear that the total number of divers in a group is 9.

The number of selected divers is 4.

The total ways to select r items from total n item is

[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]

Using this combination formula, the number of different teams of four divers that can be selected from a group of nine divers is

[tex]^9C_4=\frac{9!}{4!(9-4)!}[/tex]

[tex]^9C_4=\frac{9!}{4!5!}[/tex]

[tex]^9C_4=\frac{9\times 8\times 7\times 6\times 5!}{4\times 3\times 2\times 1\times 5!}[/tex]

Cancel out common factors.

[tex]^9C_4=126[/tex]

Therefore the correct option is C.

The correct answer is c. 126 different teams of four divers can be selected from a group of nine divers.

To solve this problem, we use the concept of combinations from combinatorics. A combination is a way of selecting items from a collection, such that the order of selection does not matter. In this case, we want to find out how many different ways we can select 4 divers out of 9 to form a team, and the order in which we select the divers does not matter.

The formula for calculating combinations is given by:

[tex]\[ C(n, k) = \frac{n!}{k!(n-k)!} \][/tex]

For our problem:

[tex]- \( n = 9 \) (the total number of divers)\\ - \( k = 4 \) (the number of divers we want to select for a team)[/tex]

Plugging these values into the formula, we get:

[tex]\[ C(9, 4) = \frac{9!}{4!(9-4)!} \] \[ C(9, 4) = \frac{9!}{4!5!} \] \[ C(9, 4) = \frac{9 \times 8 \times 7 \times 6 \times 5!}{4 \times 3 \times 2 \times 1 \times 5!} \] \[ C(9, 4) = \frac{9 \times 8 \times 7 \times 6}{4 \times 3 \times 2 \times 1} \] \[ C(9, 4) = \frac{3024}{24} \] \[ C(9, 4) = 126 \][/tex]

Therefore, there are 126 different ways to select a team of four divers from a group of nine divers.

Answer:

30

Step-by-step explanation:

Answer:

884. D

885. C ( changed my answer)

886. B

887.A

For number 844, the diameter if the fan is 12 inches. To find Circumference, multiply the radius by two and then pi. The radius of the fan is 6, multiplied by 2 is 12, and multiplied by pi gives 12 times pi.

885 says half of the area gives the circumference. So we can write a formula, (pi*r^2)/2=2*pi*r. If the radius were 4, this would make the equation true. So the answer is 4.

886. Circumference=2*pi*r

r=6.78

2*pi*6.78

13.56*pi

887.

3*3=9

13-3=10

10*23=230

230+9=239 units squared

Answer:

884.D

885.C

886.B

887.A

Step-by-step explanation:

I just multiplied

Answer:

yes

Step-by-step explanation:

7 * 6 = 42

[tex]|y-2|<10\\y-2<10 \wedge y-2>-10\\y<12 \wedge y>-8\\y\in(-8,12)[/tex]

Answer:

2

Step-by-step explanation:

Look at two points on the graph that are easy to read.

(0, 0) and (1, 2) are on the graph and are easy to read.

slope = (y2 - y1)/(x2 - x1) = (2 - 0)/(1 - 0) = 2/1 = 2

Answer:

-2

Step-by-step explanation:

Let's get two coordinate points and plug into the slope equation.

(1,2) and (.5,1)

[tex](y_{2} - y_{1})  / (x_{2} - x_{1} )[/tex]

(1-2) / (.5 - 1)

1 / (-.5)

-2

Answer: Y = -3x-2

Step-by-step explanation:

if there are two co-ordinates (x1,y1) and (x2,y2).

If the line is passing through these co-ordinates

Then Slopw of the line  = (y2-y1)/(x2-x1)

We have one co-ordinate (-0,-2) let it be (X1,Y1)

Let second co-ordinate be (X,Y)

Slope = -3 = (Y-(-2)) / (X-0)

-7  = (Y+2)/(X)

Y+2 = -3 (X)

Y+2 = -3X

ADDING -2 ON BOTH SIDES OF THE EQUATION

Y+2-2 = -3X-2

Y = -3x-2

Answer:

9

Step-by-step explanation:

Good ol' PEMDAS

First things first, we simplify what is in the parentheses.

4/2 ÷ 2 + (3² - 1)

4/2 ÷ 2 + (9 - 1)

4/2 ÷ 2 + 8

Next we do division. Because there are two instances of division, we work left-to-right. Note that a fraction such as 4/2 is division itself.

4/2 ÷ 2 + 8

2 ÷ 2 + 8

1 + 8

Lastly, it just solving the addition.

1 + 8 = 9

the answer would be 9

Answer:

A, B, D are equations representing a linear function

Step-by-step explanation:

All linear functions have an equation like the following: y=mx+b, where m is the slope and b is an offset.

A. y=x-4, m=1 and b=-4

B. y=x+4, m=1 and b=4

D. y=x+7, m=1 and b=7

The third eq dont behave like a linear function since there is quadratic term on one side of the equation, this is not a linear function

Answer:

B) A linear pairs consists of supplementary angles

Step-by-step explanation:

First let's see the definition of linear pair.

The two adjacent angles add up to 180° (supplementary) is called linear pair.

Example:

If ∠A and ∠B said to be linear pair, then they must be adjacent angles and add up to 180 degrees.

∠A + ∠B = 180°

From the definition, we can find the answer.

A) in correct because complementary angles add up to 90 degrees.

B) Correct (A linear pair consists of supplementary angles)

C) In correct because the pair consists of adjacent angles

D) In correct because vertical angles is nothing but 90°