Use substitution to find the value of y. x =3 x+y=7 step 1 : rewrite the equation step 2 :add or subtract to solve for y

Answer:3 or 3/10

Step-by-step explanation:

They are corresponding angles

Step-by-step explanation:

We know that x=75⁰ because

[tex]180 - 105 = 75[/tex]

75⁰ is angle EFB

Since we know this, and because we know that AD//EH,

We can conclude that x=75⁰(AD is parallel to EH and angle CBA or x and angle EFB are corresponding angles)

Answer:

12 shirts

Step-by-step explanation:

   First, we need to write our equations. Let x be the number of shirts and y be the cost. We will multiply the number of shirts bought (x) by the price and then add the setup fee.

   To answer the overall question, we will graph the two equations we create. Their point of intersection is the solution, or where the number of shirts bought would cost the same.

   "One website" - 9.65 per shirt, plus a set up fee for $43

y = 9.65x + $43

   "Another company" - 8.40 per shirt plus a $58 fee

y = 8.4x + $58

   See attached for the graph.

They intersect at point (12, 158.8) meaning that both websites will charge $158.80 for 12 shirts.

Answer:

1. a) SR = 23

b) QV = 25

c) QT = 20

d) PQ = 40

e) VS = 4·√6

2. a) LH = 16

b) EL = 2·√185

c) JG = 30

d) EK = 22

e) KG = 30

3. a) XT = 37

b) TZ = 34

c) ZW = 17

d) XZ = 21

e) SY = 69

Step-by-step explanation:

The circumcenter ΔPQR is the center of the circle that circumscribes ΔPQR

The length of the radius of the circle ≡ VR = VP = QV = 25

a) Given that VR ≅ VP - Radius of circumcircle

VS ≅ VS Reflective property

∠VPS ≅ ∠VRS - Base angles of an isosceles triangle

Right triangle VPS ≅ Right triangle VRS -Hypotenuse and one Leg HL congruency

Therefore, SR ≅ PS -Corresponding parts of congruent triangles are congruent CPCTC

SR + PS = PR = 46

SR + PS = SR + SR = 2·SR = 46

∴ SR = 46/2 = 23

b) QV = VR = 25 = Radius of circumcircle of ΔPQR -Given V = center and Q = vertices of the triangle circumscribed by the circle referred to in the question

c) QT = √(QV² - TV²) = √(25² - 15²) = √400 = 20

d) TV ≅ TV - Reflexive property of congruency

ΔTQV ≅ ΔTVP - Hypotenuse and one Leg (HL) congruency

QT ≅ TP -Corresponding parts of congruent triangles are congruent CPCTC

PQ = QT + TP Given

∴ PQ = QT + QT since QT = TP

PQ = 2·QT = 2 × 20 = 40

e) VS = √(VR² - SR²) = √(25² - 23²) = √96 = 4·√6

2.  The incenter is the center of the incircle of ΔEFG

 a) LH = LK = JL = 16 -Radius of incircle of ΔEFG

b) EL = Hypotenuse of right triangle LHE = √(LH² + EH²) = √(16² + 22²) = √740 = 2·√185

c) JG = Leg length of right triangle JGL = √(LG² - JL²) = √(34² - 16²) = √900 = 30

d) EK = Leg length of right triangle LKE = √(EL² - LK²) = √(740 - 256) = 22

e) KG = Leg length of right triangle LKG = √(LG² - LK²) = √(34²- 16²) = √900 = 30

3. Point Z id the centroid of ΔRST

a) XT = XS - point X on ST bisected by median line RX

ST = XT + XS = XT + XT = 2.XT = 74

XT = 74/2 = 37

b) TZ = 2/3×TW  - Length from a vertex to the centroid on a median line is equal to two third the length of the median line

TZ = 2/3×51 = 34

c) TZ + ZW = TW

∴ ZW = TW - TZ = 51 - 34 = 17

d) RZ = 42 = 2/3×RX - Length from a vertex to the centroid on a median line is equal to two third the length of the median line

∴ RX = 3/2×42 = 63

RZ + XZ = RX - Given

XZ = RX - RZ = 63 - 42 = 21

e) SZ = 2/3×SY - Length from a vertex to the centroid on a median line is equal to two third the length of the median line

SZ + ZY = SY

∴ ZY = SY - SZ = SY - 2/3×SY = 1/3×SY = 23

Which gives;

SY = 3 × 23 = 69.

Answer:

Answer: 1.4

Step-by-step explanation:

P(Northern pike) = 0.7

P(walleye) = 0.3

If 2 fishes are caught :

Number of northern pike (x) :

X = 0

P(walleye 1 st) * p(walleye 2nd) = (0.3 * 0.3) = 0.09

X = 1

P(walleye 1st)*P(Northern pike 2nd) OR P(Northern pike 1st)*P(Walleye 2nd)

= (0.3 * 0.7) + (0.7 * 0.3)

= 0.21 + 0.21

= 0.42

P(x = 2)

P(northern pike 1st) * P(northen pike 2nd)

0.7 *0.7 = 0.49

X: _ 0 _ 1 __ 2

P(x): ___ 0.09 ___ 0.42 ____ 0.49

Expected value of northern pikes :

(0* 0.09) + (1 * 0.42) + (2 * 0.49)

0 + 0.42 + 0.98

= 1.4

Expected value of the number of walleye is 0.5.

The expected value exists as a long-run average value of random variables. It also demonstrates the probability-weighted average of all possible values. Expected value exists as a generally utilized financial concept.

W = # of walleye 0, 1, 2

P(W) 0. 49, 0. 42, 0. 09

To estimate the expected value of the number of walleye.

E(X) =  number of walleye

E(X) = (0 [tex]\times[/tex] 0.49) + (1 [tex]\times[/tex] 0.42) + (2 [tex]\times[/tex] 0.09)

E(X) = 0 + 0.42 + 0.08

E(X) = 0.5

Therefore, the number of walleye expected value = 0.5.

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Angle A and Angle B are vertical angle pairs. The measure of angle A and B are equal because they are vertical pairs. Therefore, the measure of each angle is 6 degrees.

Vertical angles are a pair of opposite angles formed by intersecting lines.

Vertical angles are congruent to each other . Vertical angles share the same vertex.

Therefore, angle A and angle B are congruent because they are vertical angle pair.

Therefore,

∠A≅∠B

let

∠B = x

Therefore,

∠A = 2x - 6

Therefore,

x = 2x - 6

x - 2x = - 6

-x = - 6

x = 6

The measure of each angle is 6 degrees.

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Answer:

Step-by-step explanation:

2+4(4x49)=4+39(563x7)

2+4x196=4+39x3941

2+784=4+153699

786=153703

This equation is

not possible because

786≠153703

Answer:

19

Step-by-step explanation:

Do what is in parenthesis first.

(4 - 3) = 1

(27 - 2 * 3) = (27 - 6) = 21

Now the equation looks like this:

1 - 3 (1) + (21) =

1 - 3 + 21 =

19

Answer:

99

Step-by-step explanation:

Triangles GJH and IJH are congruent, so GJ=IJ=99.

Answer:

Step-by-step explanation:

3 * 1/2 * 5 * 4.5

= 33.75 fT^2.

Answer:

D

Step-by-step explanation:

X must be positive as you cannot have a negative amount of people and neither X and Y could be 0. (In this case (7, 0) could have been viable but the choice says non-viable.) This means the answer is (12,3).

The ordered pair (12, 3) is viable  is correct answer.

"Ordered pair is defined as the two numbers or variables which is written in form of  pair using parenthesis."

According to the question,

Number of visitors = x

Number of winners = y

Relationship given,

Number of visitors and hole in one winners.

Negative value cannot  be part of number of visitors or winners.

Therefore,

(-3,7) is not the correct ordered pair.

'x' and 'y' value cannot be equals to zero as per the condition given.

(7,0) is non viable.

Therefore,

(0,4) and (7,0) is not the correct ordered pair.

(12,3) represent both positive value as per the condition.

Hence, the ordered pair (12, 3) is viable is correct answer.

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Answer:

A... 12

Step-by-step explanation:

Answer:

[tex]\sf 3x(3x+y)(2x-1)[/tex]

Step-by-step explanation:

Given expression:

[tex]\sf 18x^3 + 6x^2y - 9x^2 - 3xy[/tex]

Factor out common term [tex]\sf 3x[/tex]:

[tex]\sf \implies 3x(6x^2 + 2xy - 3x - y)[/tex]

Factor [tex]\sf (6x^2 + 2xy - 3x - y)[/tex]

Rearrange:

[tex]\sf \implies 6x^2 - 3x+ 2xy - y[/tex]

Factor pairs of terms:

[tex]\sf \implies 3x(2x-1)+ y(2x - 1)[/tex]

Factor out common term (2x - 1):

[tex]\sf \implies (3x+y)(2x-1)[/tex]

Final solution:

[tex]\sf \implies 3x(3x+y)(2x-1)[/tex]

Answer:

6x2y(3xy2 − 1)

Step-by-step explanation:

i got it right on my quiz :D

Answer:

Option B

Step-by-step explanation:

Given the following question:

In order to find the answer, we need to convert the scientific notation into standard notation and then simplify by subtracting the decimals. Then we convert the standard notation back into scientific notation.

[tex]0.0007 - (4.9\times 10^{-7} )[/tex]
[tex]4.9\times10^{-7} =0.00000049[/tex]
[tex]0.0007-0.00000049[/tex]
[tex]0.0007-0.00000049=0.00069951[/tex]
[tex]=0.00069951[/tex]
[tex]0.00069951=6.9951 \times10^{-7}[/tex]
[tex]=6.9951 \times10^{-7}[/tex]

Your answer is "6.9951 × 10^-7" or option B.

Hope this helps.

Answer:

9 packages of beads

Step-by-step explanation:

volume of cuboid = area of base × height

⇒ volume of jewelry box = (15 × 12) × 6

                                          = 180 × 6

                                          = 1080 in³

Given:

Number of packages of beads = volume of box ÷ volume of 1 package of beads

⇒ Number of packages of beads = 1080 ÷ 120

                                                        = 9

Answer:

40/3

Step-by-step explanation: If you have a calculator type in (5 2/3)^2-(4 1/3)^2. To get 40/3. So in short, square (5 2/3)^2 to get 289/9 and square (4 1/3)^2 to get 169/9. Then subtract the two 289/9-169/9 to get 40/3.

Based on the cost function, the company that produces cell phones can minimize the cost function at 13.4 cell phones.

To minimize the cost function, you should differentiate it.

= 4x² - 107x + 4322

dC/dx = 0

8x - 107 = 0

Solving gives:
8x = 107

x = 107 / 8

= 13.4 cell phones

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Formula for inverse of matrix:

matrix              →           inverse matrix

[tex]A = \bold{ \sf { \begin{pmatrix}a&b\\ c&d\end{pmatrix} \ \ \ \rightarrow \ \ A^{-1} = \dfrac{1}{(ad-bc)} \begin{pmatrix}d&-b\\ -c&a\end{pmatrix} }}[/tex]

Answer:

760

Step-by-step explanation:

Answer:

760 of course

Step-by-step explanation:

3 is below 5 so its 760

If the last digit was a 5 or higher,it'll be 770

Answer:

1km=1000m... thats basically the answer so the nearest mail box is 3000M

it is just still 5 I believe :P hope this helps

The solution set -18 and 0 are the true values of the absolute value equation

The absolute value equation that has the a solution set of -18 and 0 is |x + 9| = 9

From the figure, the solution sets of the absolute value equation are given as:

x = {-18, 0}

Calculate the mean of the solution set

Mean = 0.5 * (-18 + 0)

Mean = -9

Calculate the difference of the solution set divided by 2

Difference = (0 + 18)/2

Difference = 9

The absolute value equation is the represented as:

|x - Mean| = Difference

Substitute known values

|x + 9| = 9

Hence, the absolute value equation that has the a solution set of -18 and 0 is |x + 9| = 9

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Answer:

|x+9|=9

Step-by-step explanation:

Answer: A

Step-by-step explanation:

The three statements truly define the conditions are 1,3 and 4.

The number of individuals of a species in a certain geographic location is known as population density.

Data on population size may be used to quantify demographic information as well as to analyze links with habitats, people's health, and transportation.

The population density is given as  the ratio of population per unit area;

[tex]\rm population \ density= \frac{population}{Area}[/tex]

For the different cities the population density is found as;

For city a

[tex]\rm P_A = \frac{2,19514}{1553} \\\\ \rm P_A = 1413.98[/tex]

For city b

[tex]\rm P_B =\frac{48,592 }{26} \\\\ \rm P_B =1868.15[/tex]

For city c

[tex]\rm P_C = \frac{ 1,257,676}{999} \\\\ \rm P_C = 999[/tex]

For city d

[tex]\rm P_D = \frac{196,429}{258} \\\\ \rm P_A = 761.35[/tex]

The three statements defining the condition will be;

The population density for city b would be 48,592:26.  

The population density for city b is more than city c.

The city d contains the lowest population density

Hence the three statements true will be 1,3 and 4.

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Answer: [tex]12\pi[/tex]

Step-by-step explanation:

The formula for area of a circle is [tex]\pi r^2=A[/tex]

The formula for circumference of a circle is [tex]2r\pi=C[/tex]

Where r is the radius

A is area

C is circumference

Knowing this we can sub our values in and solve for r in the formula for area

Divide both sides by [tex]\pi[/tex] to isolate r

[tex]\pi r^2=A\\\pi r^2=36\pi \\\frac{\pi r^2}{\pi } =\frac{36\pi }{\pi } \\r^2=36[/tex]

Take the square root of both sides

[tex]r^2=36\\\sqrt{r^2} =\sqrt{36} \\r=6[/tex]

Now sub the value of r into the formula for circumference

[tex]2r\pi =C\\2(6)\pi =C\\12\pi[/tex]

Answer:

[tex]12\pi \: c \: m[/tex]

step by step explanation:

[tex]area \: of \: a \: cirle = \pi \: r {}^{2} \\ circmferene \: of \: a \: circle = 2 \:\pi \: r \\ 36\pi = \pi \: r {}^{2} \\ 36 = r {}^{2} \\ r = 6 \\ for \: circmference \\ 2 \times \pi \: \times 6 = 12\ \: \pi \: cm [/tex]

Step-by-step explanation:

the first graph

0=|x+2| f(0)=|0+2|

|x+2|=0 f(0)=|2|

x+2=0 f(0)=2

x=-2

Answer:

First graph X=-2