Parallelogram ABCD is adjacent to rhombus DEFG, as shown below, and F C intersects A D at H. image If m ∠ B = 126 ° and m ∠ A H C = 142 ° , determine and state m ∠ G F H .

Answer:

d.

Step-by-step explanation:

The parent graph is shifted right 2 and down 2

Answer:

X = 3, -1; B

Step-by-step explanation:

Use log properties, log 5 on both sides, log 5 of 25 is 2 that times the exponent, so 2*x = 2x, and on the other side, log 5 and base of 5  cancels. So 2x = x^2 -3, which can be solved using factoring:

x^2 -2x -3 = (x-3)(x+1) = 0, x=3,-1

The value of x in 25ˣ = 5ˣ²⁻³ is x =3 or x = -1.

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Given that the equation is 25ˣ = 5ˣ²⁻³.

To solve the equation, take logs on both sides, we get,

x log(25) = (x²- 3)log5

2x log 5 = (x²- 3) log5

2x = x²-3

x²- 2x -3 = 0

Now, factorize the quadratic equation,

we get,

x² - 3x + x - 3 = 0

x(x- 3) + 1(x - 3) = 0

x = 3 or -1.

Therefore, x = 3 or x = -1.

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answer :

A. y = – 4x + 5

Step-by-step explanation:

make y = 4x-5 equal to each of the answer choices and see if you get an answer

STEPS:

1.

make 4x - y = 5 into a y= equation

4x - y = 5 is  y = 4x-5

2.

then make y = 4x-5 equal to each of the answer choices and see if you get an answer

A.

4x-5 = -4x+5

8x = 10

x = 10/8 = 5/4

yes, it has one solution

its also an intersecting line because

one line has 4x and the other has -4x

4x and -4x are slopes and opposite signs so

the lines are intersecting

B.

4x-5 = 4x-5

since they are the same on both sides of the equal sign they have

infinite solutions

they are also both the same line

C.

2y=8x-10 when simplified is y=4x-5

so its just like choice B

they are also both the same line

4x-5 = 4x-5 which is

0 = 0

since they are the same on both sides of the equal sign

infinite solutions

they are also both the same line

D.

-2y=-8x-10 when simplified is y=4x+5

4x-5 = 4x+5 when you work it out you get the answer

0 = 5

since when you solve the equation and get 0 = 5

that means its there is no solution

its also parallel line because both lines have 4x as a slope

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Answer:

B. <TSN and <ISW

C. <KSW and <NST

Answer:

D. ∠ISN and ∠TSW

Step-by-step explanation:

The meaning of vertical angles is each of the pairs of opposite angles made by two intersecting lines.

The angles ∠ISN and ∠TSW are made by two intersecting lines. This means that these angles are vertical angles.

Hope this helps!

If not, I am sorry.

The probability of getting M from the word MATH placed in hat is 0.25.

Probability is defined as the ratio of the number of favorable results to the total number of elements of an event.

P=  number of favorable outcomes / total number of outcomes of an event

A. The problem is the probability of finding A

B. The given are MATH i.e. {M,A,T,H}

C. the operation used will be selecting a word from hat of word MATH

D. the mathematical statement from the probability of finding  M will be

    P(getting M from word MATH)

E. the answer to the problem will be calculated as

    no. of element in the hat=4 i.e. {M,A,T,H}

    no. of favorable outcomes= 1 i.e. {A}

     P(getting A from word MATH) = number of favorable outcomes/ number of total outcomes

⇒  P(getting A from word MATH) = 1/4

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The x-coordinates are -4 and 0.

Answer:

$390

Step-by-step explanation:

The wage rate for Kailyn is ($146.25/15 hours) = $9.75/hour

40 hours would result in:

(40 hours)*($9.75/hour) = $390

The product of A and B matrix will be option D; BA = [tex]\left[\begin{array}{ccc}16&10&39\\-32&-30&-18\\-6&-6&-19\end{array}\right][/tex].

If [tex]A = \left[\begin{array}{ccc}-2&-4&2\\5&1&5\\-1&-3&-4\end{array}\right][/tex]and [tex]B = \left[\begin{array}{ccc}2&3&-5\\5&-4&2\\-1&-1&3\end{array}\right][/tex]

then,

BA = [tex]\left[\begin{array}{ccc}2&3&-5\\5&-4&2\\-1&-1&3\end{array}\right] \left[\begin{array}{ccc}-2&-4&2\\5&1&5\\-1&-3&-4\end{array}\right][/tex]

BA = [tex]\left[\begin{array}{ccc}16&10&39\\-32&-30&-18\\-6&-6&-19\end{array}\right][/tex]

Hence, the product of A and B matrix will be option D; BA = [tex]\left[\begin{array}{ccc}16&10&39\\-32&-30&-18\\-6&-6&-19\end{array}\right][/tex].

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Answer:

endpoint of midsegment connecting side YX is (4, 3)

endpoint of midsegment connecting side YZ is (5, -1)

Step-by-step explanation:

Mid point of a line segment -  it is the middle point of a line segment. It is equidistant from both endpoints and it is the centroid both of the segment and of the endpoints.

according to the graph;

Y is (1, 2),  Z is (9, -4),  X is (7, 4)

therefore using mid point formula we can determine the endpoints of midsegments connecting side YX and YZ

if (x , y) and (x1, y1) are the endpoints of a line then;

The coordinates of mid point are given by the formula =  (x+x1)/2,  (y+y1)/2

using the above formula mid point of YX is

(7+1)/2, (4+2)/2 = (4, 3)

and the mid point of line YZ is

(9+1)/2, (-4+2)/2 =  (5, -1)

hence the answer is (4,3) and (5, -1)

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Answer:

Step-by-step explanation:

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: y=-x-1[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Taking two points : (-1 , 0) and (0 , -1)

[tex] \textsf{Calculate slope (m)} [/tex]

[tex]\qquad \tt \rightarrow \: m = \cfrac{rise}{run} [/tex]

[tex]\qquad \tt \rightarrow \: m = \cfrac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex]\qquad \tt \rightarrow \: m = \cfrac{0 - ( - 1)}{ - 1 - 0} [/tex]

[tex]\qquad \tt \rightarrow \: m = \cfrac{0 + 1}{ - 1}[/tex]

[tex]\qquad \tt \rightarrow \: m = - 1[/tex]

[tex] \textsf{Y - intercept (c) of graph = -1 } [/tex]

Equation of line in slope - intercept form :

[tex]\qquad \tt \rightarrow \: y = mx + c[/tex]

[tex]\qquad \tt \rightarrow \: y = - x - 1[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer: 6 ft

Step-by-step explanation:

[tex]144\pi =\pi(r^{2})(4)\\\\144\pi=4\pi r^{2}\\\\36=r^{2}\\\\r=\boxed{6 \text{ ft}}[/tex]

Answer:

∠1 and ∠2, ∠7 and ∠8

Answer:

∠1 and ∠7, ∠2 and ∠8

Step-by-step explanation:

just took the quiz

Answer: Hope this helps you.

Y = MX + 2

Step-by-step explanation:

Since you don't have a picture of the line I cant find the slope but with the info I know the equation is.

Y = MX + 2

(Replace M with the slope or post the graph so I can identify the slope)

Answer:

Which one does not belong to the group

Answer:

x=135°

Step-by-step explanation:

WZ is 180 degrees. Simply subtract 48 from 180.

180-45=135.

Hope this helps!

If not, I am sorry.

Answer:

The answer is 132

Step-by-step explanation:

For khan academy

1. Moving at constant, you are at equilibrium and the restorative force of the scale balances your weight. So the scale exerts a force of 490 N and reads 50.0 kg.

2. The elevator is now moving up and slowing down, so its acceleration is pointing opposite the direction of motion, and Newton's second law says the net force is

F - 490 N = (50.0 kg) (-4.9 m/s²)

where F is the magnitude of the force due to the scale. Solve for F to get

F = 490 N - (50.0 kg) (4.9 m/s²) = 245 N

and the scale would read (245 N)/g = 25 kg. This should make sense; your inertia will cause your body to "want" to continue moving up at the same speed while the elevator slows down, and this relieves some of the upward force needed to keep your body moving with the elevator.

3. With the elevator in free fall, Newton's second law gives

F - 490 N = (50.0 kg) (-9.8 m/s²)   ⇒   F = 0 N

and the scale would read 0 kg. Now you're falling with the elevator; the scale doesn't have to counteract your weight anymore.

Answer:

Polygon 3 and polygon 4 are similar to polygon 1.

Step-by-step explanation:

I believe this is the answer from the looks of it. If it's not 3, then try 2. I know one of them is definitely 4 though. I hope this helps!!

Answer:

219

Step-by-step explanation:

adulta 219×17=3723

5563-323=1840

1840÷10=184 kids

219+184=403

Step-by-step explanation:

first a little help, how they got the equations :

in total they need 15 liters.

so, whatever x and y are, but together they must be 15 L.

x + y = 15

then, we are mixing x liters of 20% alcohol with y liters of 100% alcohol, that have to result in a 40% solution of (x+y) liters :

0.2x + y = 0.4(x+y)

we know from the first equation that x+y = 15, so the second equation is actually

0.2x + y = 0.4 × 15 = 6

so, we have

x + y = 15

0.2x + y = 6

do you notice something ? there is a "+ y" in both equations.

so we can actually subtract the second equation from the first, eliminate y and solve for the remaining x. and then use one of the original equating to get also y :

x + y = 15

- 0.2x + y = 6

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

0.8x 0 = 9

0.8x = 9

x = 9/0.8 = 11.25 liters

x + y = 15

11.25 + y = 15

y = 15 - 11.25 = 3.75 liters

First find the Slope-intercept form of the graph:

b=1

Given the points: (0,1)&(3,0)

slope= [tex]\frac{y1-y2}{x1-x2} =\frac{1-0}{0-3} =\frac{-1}{3}[/tex]

The line is not a dashed line, so that means the values on the slope (blue) are also counted

All the y values below the slope are counted, the inequality is:

y[tex]\leq \frac{-1}{3}x +1[/tex]

Hope it helps!

Answer:26

Step-by-step explanation:

I insert an image graphing the function.

[tex] \boxed{ \boxed{g(x) \: = \: |x \: - \: 4| \: + \: 3}}[/tex]

Answer:

5.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

type 63 : 12 in your calculator

see the example in the attachment.

The possible length is 28cm and width is 23cm.

Rectangle is a two dimension figure with length and width.

Area of the rectangle is given by length × width.

Perimeter of the rectangle is given by 2 ( length + width ).

Given that dimension of a rectangular photograph is 24 × 19 cm.

So, Length of the rectangular photograph = 24 cm

Width of the rectangular photograph = 19cm

It is given that rectangular photograph is mounted on a card which has 2cm border all around.

Therefore, Length = 24cm + 2cm + 2cm = 28cm

Width = 19cm + 2cm + 2cm = 23cm.

Hence, the possible length so that the inner and outer rectangles are similar = 28cm

The possible width so that the inner and outer rectangles are similar = 23cm

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The possible length is 28cm and width is 23cm.

Rectangle is a two dimension figure with length and width.

Area of the rectangle is given by length × width.

Perimeter of the rectangle is given by 2 ( length + width ).

Given that dimension of a rectangular photograph is 24 × 19 cm.

Therefore, Length of the rectangular photograph = 24 cm and

Width of the rectangular photograph = 19cm

It is given that rectangular photograph is mounted on a card which has 2cm border all around.

Therefore,

Length = 24cm + 2cm + 2cm = 28cm

Width = 19cm + 2cm + 2cm = 23cm.

Hence, the possible length so that the inner and outer rectangles are similar = 28cm

The possible width for the inner and outer rectangles are similar = 23cm

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If organisation supports 125 villages financially and it is 11% of world wide then the total villages in world wide that needs help is 1136.36 villages.

Given An organization supports 125 villages financially. This figure is only 11% as compared to the organization's worldwide support.

If 125 villages are 11% of worldwide villages who need help financially then we have to find 100% value according to organisation figure which can be calculated as under:

if 125 is 11% then 1% will be 125/11

then 100% will be 125/11*100

=12500/11

=1136.36

=1136 Approx

Hence 1136 villages are totally present worldwide which need help financially.

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

Work Shown:

x = price before the discount

30% of x = 0.30x = amount saved

x - 0.30x = 0.70x = price after discount = 1659

0.70x = 1659

x = 1659/(0.70)

x = 2370

First we'll have to convert the percent into decimal.

We'll have to divide the value by 100.

[tex]\frac{30}{100}[/tex]

[tex]\bold{=0.30}[/tex]

Now, we can find the original price.

[tex]\large\boxed{\bold{Formula:OP= \frac{price}{1-Discount}}}[/tex]

We have all the necessary values to find the original price.

Let's solve!

Substitute the values according to the formula.

[tex]OP=\frac{1659}{1-0.30}[/tex]

OP= $2370

Therefore, the original price of the television set is $2370

Answer:

the two angles equal 180 degree

so 2x+2+5x+3=180

2x+5x+3+2=180

7x=180-5

7x/7=175/7

x=25

Step-by-step explanation:

hope I helped

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The substance's half-life is 4.7 days if the 11-gram sample of a substance that’s used to treat thyroid disorders has a k- the value of 0.15

During exponential decay, a quantity falls slowly at first before rapidly decreasing. The exponential decay formula is used to calculate population decline and can also be used to calculate half-life.

We have an exponential function:

[tex]\rm N = N_oe^{-kt}[/tex]

Plug N = N⁰/2

[tex]\rm N_o/2 = N_oe^{-kt}[/tex]

[tex]\rm \dfrac{1}{2} = e^{-0.15t}[/tex]

Solving for t:

t = 4.62≈ 4.7 days

Thus, the substance's half-life is 4.7 days if the 11-gram sample of a substance that’s used to treat thyroid disorders has a k- the value of 0.15

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