Marsha went shopping at Best Buy and spent $75.25. If the sales tax was 8.75%, how much was her total bill?

Given:

[tex]\Delta MAT\cong \Delta MHT[/tex] and [tex]m\angle 2=82^\circ[/tex].

To find:

Whether [tex]m\angle 1=47^\circ[/tex] is possible or not.

Solution:

We have,

[tex]\Delta MAT\cong \Delta MHT[/tex]

[tex]\angle AMT\cong \angle HMT[/tex]                      (CPCTC)

[tex]m\angle 3=m\angle 8[/tex]              ...(i)

And,

[tex]m\angle 1=m\angle 8[/tex]              ...(ii)        (Vertically opposite angles)

From (i) and (ii), we get

[tex]m\angle 1=m\angle 3[/tex]              ...(iii)

Now,

[tex]m\angle 1+m\angle 2+m\angle 3=180^\circ[/tex]          (Linear pair)

[tex]m\angle 1+82^\circ+m\angle 1=180^\circ[/tex]             (Using (iii))

[tex]2m\angle 1=180^\circ-82^\circ[/tex]

[tex]2m\angle 1=98^\circ[/tex]

Divide both sides by 2.

[tex]m\angle 1=\dfrac{98^\circ}{2}[/tex]

[tex]m\angle 1=49^\circ[/tex]

The measure of angle 1 is 49 degrees so it cannot be equal to 47 degrees.

Therefore, the required answer is "no", the given statement [tex]m\angle 1=47^\circ[/tex] is not possible.

Answer:

This one

1

_

3

1

-_

3

Step-by-step explanation:

Answer:

B. ∠BAC

Step-by-step explanation:

The angle opposite the largest side has the largest angle.

Answer:

Infinitely many solutions

Step-by-step explanation:

The lines overlap one another and this leads to an infinite amount of solutions.

Answer:

one solution is the answer

Answer:

P and Q add up to 90°.

Step-by-step explanation:

Answer:

C.                          m∠1 +m∠2 = 90

Step-by-step explanation:

Answer:

5-1(b+2) = 5-b-2=3-b

3+4(3m+2n) =3 +12m +8n

Answer: 3.5a+5b=470 and a+b=115

Step-by-step explanation:

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The rate of change of the proportion y = 9x is 9.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

y = 4x  +2 is an equation.

x + 2x + 3 = 4 is an equation.

We have,

y = 9x

The rate of change of this equation can be calculated by finding its differentiation.

Now,

y = 9x

Differentiating with respect to x we get,

dy/dx = 9dx/dx

dy/dx = 9

Thus,

The rate of change of the proportion y = 9x is 9.

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Answer:

r=4 :)

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

Answer:

The answer is 46...i cant find that answer in the choices though

Step-by-step explanation:

In PEMDAS we can see that we have parentheses first so we solve whatever is in the parentheses. which 3-2 = 1....so it should look like this

43 + 2 + 1

Which equals 46

hope this helps. have a good day

9514 1404 393

Answer:

  11) x = 9

  12) x = 9

Step-by-step explanation:

11) Corresponding segments are proportional, so ...

  x/6 = 12/8

  x = 6(12)/8 . . . multiply by 6

  x = 9

__

12) Similar triangle relationships show you the geometric mean relationship that applies in this case.

  long side/short side = x/3 = 27/x

  x² = 3·27 . . . . . . cross multiply

  x = √(3·27) . . . . geometric mean relationship

  x = 9

Answer: The property sold for $5,870.41.

Step-by-step explanation:

Let x be the selling price of the property.

Then, gross commission = 6.5% of x = 0.065x

listing salesman received = 12% of ( 0.065x)  = 0.12 (0.065x) = 0.0078 x

Balance = x - ( 0.065x) -  (0.0078 x)

= (1+0.065-0.0078)x

= 1.0572x

Scott received = 45% of (1.0572x)

=0.45 (1.0572x)

= 0.47574x

Now, [tex]0.47574x=2,792.79[/tex]

[tex]\Rightarrow\ x=\dfrac{2792.79}{0.47574}\\\\\Rightarrow\ x=5870.41[/tex]

Hence, the property sold for $5,870.41.

Answer:

Step-by-step explanation:

Answer:

f(9)=17//g(9)=31

Step-by-step explanation:

substitute- (9)2-1= 18-1=17

substitute and solve- 3(9)+4=27+4=31

Hope this helps

Answer:

65.992

Step-by-step explanation:

LM/PL = RN/QR

LM / 113 = 73/ 125

LM =(73/125) * 113

Step-by-step explanation:

LM =1/2 of 113

56.50

so according to to me it is D) 65.99

Answer:

Let F = the force (6 lbs) and x be the distance that the spring is stretched (12 inches).

F = kx

6 lb = k*(12 in.)

6/12 = k = 0.5 lb/in.

A weight of 6 lb stretches a spring a distance of 12 in. The constant k for the spring will be  0.5 lb/in.

If the object is of mass m kg and force applied on it is of F N in the direction of motion, then the acceleration of that object is evaluated as:

a=  F/m

Given; A weight of 6 lb stretches a spring a distance of 12 in.

Also,

Let F = the force and x be the distance that the spring is stretched

F = kx

6 lb = k*(12 in.)

6/12 = k = 0.5 lb/in.

Therefore, the constant k for the spring will be  0.5 lb/in.

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Answer:

12-issue subscription

Step-by-step explanation:

18-issue sub = $40.50 ÷ 18 = $2.25/issue

12-issue sub = $33.60 ÷ 12 = $2.8/tissue

=> The 12-issue subscription costs more per issue (2.8 > 2.25)

Answer:

so you would divide the cost by the issue

the 18 issue is $2.25 per issue

the 12 issue is $2.80 per issue

the 12 issue costs more

Answer:

Dont know

Step-by-step explanation:

Sorryyyyyyyyyyyyyyyyyyyyy

Answer:

A

Step-by-step explanation:

because math

Answer:

Step-by-step explanation:

∠x=180-114

   =66°

∠p=114 (alt.ext.∠)

Answer:

Although it is not stated... I am assuming line "m" and line "n" are parallel to each other. That's the only way we can solve the problem..

Answer:

B. [tex]b \leq 1\frac{7}{10}[/tex]

Step-by-step explanation:

Isolate b in order to solve the inequality. Subtract [tex]\frac{9}{5}[/tex] on both sides of the inequality, then simplify. (You will need to convert the fractions in order to subtract and simplify further.)

[tex]\frac{7}{2} \geq b + \frac{9}{5} \\\frac{7}{2} -\frac{9}{5} \geq b + \frac{9}{5} -\frac{9}{5} \\\frac{35}{10} -\frac{18}{10}\geq b\\\frac{17}{10} \geq b\\1\frac{7}{10} \geq b[/tex]

Thus, [tex]b \leq 1\frac{7}{10}[/tex].

Answer:

b

Step-by-step explanation:

Answer:

sorry no se la respuesta

the Great answer to your problem is A

Step-by-step explanation:

Answer:

y = 1x + 4

OR

y = x + 4

Step-by-step explanation:

Answer:

2x -3

Step-by-step explanation:

Answer:

2x-3 isn't monomial. hope u like it