In quadrilateral ABCD, angle BAD and angle CDA are trisected as shown. What is the degree measure of angle AFD?

Answer:

13.28

Step-by-step explanation:

Take the total amount she has and subtract what she just earned

23.43 - 10.15

13.28

This is what she had before she started cleaning

Answer:

Step-by-step explanation:

23.43 - 10.15= 13.28 $

Answer:

a = 55° and b = 60°

Step-by-step explanation:

→ Remember 2 key points about angles

→ Angle a is alternate to 55° so using the 2nd point,

a = 55°

→ Remember the fact that angle in a triangle add up to 180°

55°  + 65° + b = 180°

→ Collect the whole numbers

120° + b = 180°

→ Minus 120° from both sides to isolate b

b = 60°

The solution is : the measures of angles A and B are:

A = 55° and B = 60°

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

We know that 55+ b+ other angle = 180 since they make a straight line

The other angle = 65 since they are alternate interior angles

55+ B+ 65 = 180

Combine like terms

120 + B = 180

B = 60

A + B + 65 = 180

interior angles of a triangle must equal 180 degrees

A +60+ 65 =180  

Combine like terms

A +125 = 180

A = 55

Hence, The solution is : the measures of angles A and B are:

A = 55° and B = 60°

To learn more on angle click:

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Answer:

A.

Step-by-step explanation:

We need to find the equation where, if x is equal to 3, g(x) is equal to 1, because g(x) passes through the point (3,1)

Then, replacing x by 3 on every option we get:

[tex]g(x)=(\frac{1}{3}x)^2= (\frac{1}{3}3)^2=1\\g(x)=(\frac{1}{9}x)^2= (\frac{1}{9}3)^2=\frac{1}{9}\\g(x)= \frac{1}{3}x^2= \frac{1}{3}3^2=3\\g(x)=3x^2=3*3^2=27[/tex]

So, the answer is A. because g(x) is equal to 1

Answer:

+3, 0

Step-by-step explanation:

y-intercept for f(x) is when x = 0, so it is +1, 0

y-intercept for g(x) is when x = 0, so it is +3, 0

y-intercept for h(x) is when x = 0, so it is -2, 0

The y-intercept of a function is the point where x = 0.

The ordered pair that represents the greatest y-intercept is (0,3)

The functions are given as:

[tex]\mathbf{f(x) = |x - 1| + 2}[/tex]

[tex]\mathbf{g(x) = (x + 3)}[/tex]

[tex]\mathbf{h(x) = (x + 1) - 3}[/tex]

Set x = 0, and solve the functions

[tex]\mathbf{f(x) = |x - 1| + 2}[/tex]

Substitute 0 for x

[tex]\mathbf{f(0) = |0 - 1| + 2}[/tex]

[tex]\mathbf{f(0) = |- 1| + 2}[/tex]

Remove absolute brackets

[tex]\mathbf{f(0) = 1 + 2}[/tex]

[tex]\mathbf{f(0) = 3}[/tex]

[tex]\mathbf{g(x) = (x + 3)}[/tex]

Substitute 0 for x

[tex]\mathbf{g(0) = (0 + 3)}[/tex]

[tex]\mathbf{g(0) = 3}[/tex]

[tex]\mathbf{h(x) = (x + 1) - 3}[/tex]

Substitute 0 for x

[tex]\mathbf{h(0) = (0 + 1) - 3}[/tex]

[tex]\mathbf{h(0) = 1 - 3}[/tex]

[tex]\mathbf{h(0) = - 2}[/tex]

Hence, the ordered pair that represents the greatest y-intercept is (0,3)

Read more about ordered pairs at:

https://brainly.com/question/3309631

Answer:

3

Step-by-step explanation:

the line crosses the y-axis at (0,3)

Answer:

3

Step-by-step explanation:

The y intercept is where the graph crosses the y axis  ( where x =0)

The lines crosses at y=3

Y intercept is 3

Answer:

C

Step-by-step explanation:

When an equality has a ≤, or ≥ sign (greater than/less than or equal to), the line will be solid. When an equality has a <, or > sign(greater than/less than), the lines will be dotted. As we can see, both of the inequalities given have <, or >, meaning they must both have dotted lines. Since one of the lines in D is solid, the correct answer is C.

Answer:

c is right answer, you can download desmo to solve the graph questions easily

Answer:

8 cans

Step-by-step explanation:

[tex]V=lwh\\l=40\\w=25\\h=8\\V=(40)(25)(8)\\V=(1000)(8)\\V=8000^3\\\frac{8000^3}{1000^3} =8[/tex]

Since the volume is 8000 cm³ and 8000 cm³ divided by 1000 cm³ is equal to 8, the total cans it will take to fill up the go cart is 8 cans.

Note:

I know this is really late but this to help people for future references

Answer:

Step-by-step explanation:

The parameter of interest summarizes the population of interest as a whole. It also gives the value that summarizes the entire population

In this case study the parameter of interest is all children in both two parents and single parent homes living in school districts.

Answer:

3

Step-by-step explanation:

plug in the values in the formula of volume of cone

18pi=pi(x^2)(2x)(1/3)

then solve for x

multiply both sides by 3 : 54pi = pi(x^2)(2x)

divide pi from both sides : 54 = (x^2)(2x)

divide 2 from both sides : 27 = x^3

cube root of both sides : 3 = x

Answer: 3

Step-by-step explanation:

edg 2020

Answer:

[tex]\large \boxed{\sf \ \ 23 \ \ }[/tex]

Step-by-step explanation:

Hello, please consider the following.

[tex]a_1=f(1)=3\\\\a_2=f(1)+4=3+4=7\\\\a_3=f(3)=a_2+4=7+4=11\\\\a_4=a_3+4=11+4=15\\\\a_5=a_4+4=15+4=19\\\\a_6=a_5+4=19+4=23[/tex]

So the answer is 23.

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

7

Step-by-step explanation:

i Hope this helps

Answer:

Step-by-step explanation:

[tex] {(5 - 6)}^{2} \times (4 + 3)[/tex]

Calculate the difference

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

Add the numbers

[tex] = {( - 1)}^{2} \times 7[/tex]

Evaluate the power

[tex] = 1 \times 7[/tex]

Any expression multiplied by 1 remains the same

[tex] = 7[/tex]

Hope this helps...

Best regards!!

There's a bit of ambiguity in your question...

We know that [tex]f^{-1}(-15)=7[/tex], which means [tex]f(7)=-15[/tex].

I see three possible interpretations:

• If [tex]f(x)=k\sqrt2+x[/tex], then

[tex]f(7)=-15=k\sqrt2+7\implies k\sqrt2=-22\implies k=-\dfrac{22}{\sqrt2}=11\sqrt2[/tex]

• If [tex]f(x)=k\sqrt{2+x}[/tex], then

[tex]f(7)=-15=k\sqrt{2+7}\implies -15=3k\implies k=-5[/tex]

• If [tex]f(x)=\sqrt[k]{2+x}[/tex], then

[tex]f(7)=-15=\sqrt[k]{2+7}\implies-15=9^{1/k}\implies\dfrac1k=\log_9(-15)[/tex]

which has no real-valued solution.

I suspect the second interpretation is what you meant to write.

Answer:

The answer is 61

Step-by-step explanation:

To find each n term replace the n with term u need to find .

A(12)= -5+6(12-1)

=-5+6(11)

=61

Answer:

61

Step-by-step explanation:

A(n)=-5+6(n-1)

Let n = 12

a(12) = -5 + 6(12-1)

         -5+6(11)

       -5+66

         61

Answer: 27

Step-by-step explanation:

45% is equal to .45.

.45 x 60 = 27.

If we multiply .45 by 60, we get 27. Therefore, Ahmed got 27 marks out 60.

If you want to check your answer, you can divide 27/60 to get .45.

Answer:

[tex]\boxed{27 \ Marks}[/tex]

Step-by-step explanation:

Total Marks = 60

Ahmed Scored in the test = 45% of 60

=> [tex]\frac{45}{100} * 60[/tex]

=> [tex]\frac{45}{10} * 6[/tex]

=> 4.5 * 6

=> 27 Marks

Answer:

a) [tex]a_n=3\,n-11[/tex]

b) [tex]a_{20}=49[/tex]

c) term number 17 is the one that gives a value of 40

Step-by-step explanation:

a)

The sequence seems to be arithmetic, and with common difference d = 3.

Notice that when you add 3 units to the first term (-80, you get :

-8 + 3 = -5

and then -5 + 3 = -2 which is the third term.

Then, we can use the general form for the nth term of an arithmetic sequence to find its simplified form:

[tex]a_n=a_1+(n-1)\,d[/tex]

That in our case would give:

[tex]a_n=-8+(n-1)\,(3)\\a_n=-8+3\,n-3\\a_n=3n-11[/tex]

b)

Therefore, the term number 20 can be calculated from it:

[tex]a_{20}=3\,(20)-11=60-11=49[/tex]

c) in order to find which term renders 20, we use the general form we found in step a):

[tex]a_n=3\,n-11\\40=3\,n-11\\40+11=3\,n\\51=3\,n\\n=\frac{51}{3} =17[/tex]

so term number 17 is the one that renders a value of 40

Answer:

Step-by-step explanation:

eq. of line parallel to y=34x-9 is y=34 x+k

∵ it passes through (-8,-18)

∴-18=34×-8+k

k=-18+272

k=254

so reqd. eq. is y=34 x+272

Answer:

AC = 20°

Step-by-step explanation:

180° (total angle amount of a triangle) - 70° + 90° (right angle) = ac

AC = 20°

Hope this helps!

Answer:

a) [tex]\overrightarrow{PQ} = (8,8, 2)[/tex] or [tex]\overrightarrow{PQ} = 8\,i + 8\,j + 2\,k[/tex], b) The magnitude of segment PQ is approximately 11.489, c) The two unit vectors associated to PQ are, respectively: [tex]\vec v_{1} = (0.696,0.696, 0.174)[/tex] and [tex]\vec v_{2} = (-0.696,-0.696, -0.174)[/tex]

Step-by-step explanation:

a) The vectorial form of segment PQ is determined as follows:

[tex]\overrightarrow {PQ} = \vec Q - \vec P[/tex]

Where [tex]\vec Q[/tex] and [tex]\vec P[/tex] are the respective locations of points Q and P with respect to origin. If [tex]\vec Q = (13,13,3)[/tex] and [tex]\vec P = (5,5,1)[/tex], then:

[tex]\overrightarrow{PQ} = (13,13,3)-(5,5,1)[/tex]

[tex]\overrightarrow {PQ} = (13-5, 13-5, 3 - 1)[/tex]

[tex]\overrightarrow{PQ} = (8,8, 2)[/tex]

Another form of the previous solution is [tex]\overrightarrow{PQ} = 8\,i + 8\,j + 2\,k[/tex].

b) The magnitude of the segment PQ is determined with the help of Pythagorean Theorem in terms of rectangular components:

[tex]\|\overrightarrow{PQ}\| =\sqrt{PQ_{x}^{2}+PQ_{y}^{2}+PQ_{z}^{2}}[/tex]

[tex]\|\overrightarrow{PQ}\| = \sqrt{8^{2}+8^{2}+2^{2}}[/tex]

[tex]\|\overrightarrow{PQ}\|\approx 11.489[/tex]

The magnitude of segment PQ is approximately 11.489.

c) There are two unit vectors associated to PQ, one parallel and another antiparallel. That is:

[tex]\vec v_{1} = \vec u_{PQ}[/tex] (parallel) and [tex]\vec v_{2} = -\vec u_{PQ}[/tex] (antiparallel)

The unit vector is defined by the following equation:

[tex]\vec u_{PQ} = \frac{\overrightarrow{PQ}}{\|\overrightarrow{PQ}\|}[/tex]

Given that [tex]\overrightarrow{PQ} = (8,8, 2)[/tex] and [tex]\|\overrightarrow{PQ}\|\approx 11.489[/tex], the unit vector is:

[tex]\vec u_{PQ} = \frac{(8,8,2)}{11.489}[/tex]

[tex]\vec u_{PQ} = \left(\frac{8}{11.489},\frac{8}{11,489},\frac{2}{11.489} \right)[/tex]

[tex]\vec u_{PQ} = \left(0.696, 0.696,0.174\right)[/tex]

The two unit vectors associated to PQ are, respectively:

[tex]\vec v_{1} = (0.696,0.696, 0.174)[/tex] and [tex]\vec v_{2} = (-0.696,-0.696, -0.174)[/tex]

Answer:

4 ≤x≤10

Step-by-step explanation:

The domain is the value that the input takes

X is the input

X goes from 4 to 10

4 ≤x≤10

Answer:

No answer can be found

Step-by-step explanation:

There isn't any value to find and express in simplest form lol.

From top to bottom, the answers are

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

Explanation:

The first system of equations has each equation with the same slope 2, but different y intercepts. This indicates we have parallel lines. Parallel lines never cross, so there are no solutions. A solution is where the two lines cross.

The second system of equation has one solution where the two lines cross. This is because the slopes are different

The third system has infinitely many solutions. We have the same line graphed out twice. One line is directly on top of the other to yield infinitely many intersection points.

The fourth system is similar to the second system. Different slopes lead to exactly one solution. The y intercept doesn't affect the number of solutions (whether its 0, 1 or infinitely many)

For each equation shown, they are in the form y = mx+b with m as the slope and b as the y intercept.

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

Explanation:

List out the multiples of 25 to get {25, 50, 75, 100, 125, 150, 175, 200}

Do the same for the multiples of 40 to get {40, 80, 120, 160, 200}

We see that the lowest common multiple (LCM) is 200

---------

Another way to get the LCM is to multiply 25 and 40 to get 25*40 = 1000. Then divide this over 5 as this is the GCF between the two original numbers. We end up with the same LCM since 1000/5 = 200.

--------

There's a third way to get the LCM

List out the prime factorization of each value

25 = 5*5

40 = 2*3*5

Note how we have the unique factors of 2, 3 and 5. Circle the unique factors such that we highlight the ones that occur the most. We have 2 occur once, 3 occur once, and 5 occurs twice. We have circled one 2, one 3, and two 5's. They multiply out to 2*3*5*5 = 8*25 = 200

-----------------

Whichever method works for you, the LCM is 200. This means that every 200 minutes, we have bus A and bus B arrive at the depot at the same time. Their cycles line up at the 200 minute mark.

Convert this to hours,minutes format.

200 minutes = 180 minutes + 20 minutes

200 minutes = 3 hours + 20 minutes

200 minutes = 3 hrs, 20 min

We can represent "3 hrs, 20 min" in 12-hour clock notation by writing 3:20

Add this onto 7:00, which is 7 AM and we get

(7:00) + (3:20) = (7+3):(00+20) = 10:20 AM

We have started at 7 AM and fast forwarded 3 hours and 20 minutes to arrive at 10:20 AM.

Answer:

The answer is 75 degrees

Step-by-step explanation:

Supplementary angles add to 180 and 105 + Y= 180.

So, you subtract 105 from 180 and Y is 75

Hey There!!

Your answer will be 3.

Step-by-step explanation:

Because, 2 + 1 = 3

Answer:

Hey!

Your answer is 3!

Step-by-step explanation:

2 + 1 = 3!

Hope this helps!

:>

Answer:

x² - 20 = 0

Using the quadratic formula

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

a = 1 b = 0 c = -20

So we have

[tex]x = \frac{ - 0 ± \sqrt{ {0}^{2} - 4(1)( -20)} }{2(1)} \\ \\ x = \frac{± \sqrt{80} }{2} \\ \\ x = \frac{±4 \sqrt{5} }{2} \\ \\ \\ x = ±2 \sqrt{5} \\ \\ \\ x = 2 \sqrt{5} \: \: \: or \: \: \: x = - 2 \sqrt{5} [/tex]

Hope this helps you.