Fill in the missing reason in proof.

To prove this we just need to use the third angles theorem.

Thidr angles theorem says: If two angles in one triangle are congruent to two angles in another triangle, then the third pair of angles must also congruent.

And this is just what we have here.

Answer:

Z = 51º

Step-by-step explanation:

sinZ/12.5 = sin76/15.5

multiply both sides by 12.5

sinZ = sin76/15.5 * 12.5

Use calculator

sinZ = 0.782496553448384

Z = arcsin 0.782496553448384

Use calculator again

Z = 51.48972926377471º

Rounded

Z = 51º

The graph (g-f)(x)=-4x complies with the query.

An edge denotes the connection between the x and y vertices and is represented by the pair (x ,y). In the examples that follow, circles stand in for vertices and lines for edges.

The graph indicates that line generated by function f(x) passes through the points (1,-3) and (0,0) and that line similarly passes through the points (1,1) and (0,0).

With the use of the formula Y-Y1 = y2-y1/x2-x1, we can thus determine the equation of the lines (x-x2)

Therefore, the equation of the line produced by the function f(x) y+3= 3-0/0-1 (x-1)

Function f(x) Equals 3x since y+3=-3x+3 y=-3x.

the line drawn by the function g(x) has the equation y=x, hence function g(x)=x.

We now need to figure out, (g-f) (x) = g(x)- f(x) = -3x-x = -4x

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Hi!

The coefficient of x is known as the slope, and that can be represented as rise/run, and in this example is it 1/4, therefore your rise is 1.

Hope this helps! :D

Answer:

Step-by-step explanation:

We know that:

Let's compare the slope and its formula.

Work:

Hence, the rise of the slope is 1.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

Step-by-step explanation:

3 hours for studying x subjects:

Answer:

x = 10

y = 20

Step-by-step explanation:

They tell you triangle STY is congruent to triangle DTU, which means sides and angles are equal. (they are mirror images in this case)

YT = DT and ST = UT

3y + 5 = 65

3y = 60

y = 20

5x = 50

x = 10

Answer:

      Equation to find x: \(60+2x+x=180\)

      x= 40°

Step-by-step explanation:

We should know that if we add all the angles of a triangle it will give us 180 so the formula you could use is \(m<1+m<2+m<3=180\) so now we plug in what we know.

\(60+2x+x=180\)

Once we got our equation we can solve for x.

\(60+2x+x=180\\60+3x=180\\3x=120\\x=40\)

Answer:

5x2-2x+1 The highest exponent is the 2 so this is a 2nd degree trinomial.

Step-by-step explanation: Also pls answer by question

The thermometer reading would be 73.48°C.

The boiling point of water is generally considered to be 100°C. According to the given information, the temperature of the liquid in the thermometer is 26.52°C lower than the boiling point of water. Therefore, to find the thermometer reading, we subtract 26.52 from 100.

100 - 26.52 = 73.48

Hence, the thermometer reading would be 73.48°C.

In this scenario, we are assuming that the thermometer is calibrated to measure temperature in Celsius. The boiling point of water at standard atmospheric pressure is 100°C, and the given information states that the liquid in the thermometer is 26.52°C lower than the boiling point.

By subtracting 26.52 from 100, we obtain a reading of 73.48°C.

Thermometers work by utilizing the principle that certain substances, such as mercury or alcohol, expand or contract with changes in temperature. The expansion or contraction is measured using a scale, which is marked with various temperature values.

In this case, the thermometer is calibrated in Celsius, so we refer to the Celsius scale. By subtracting 26.52 from 100, we find the temperature at which the liquid in the thermometer is settled, which is 73.48°C.

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Answer:

2.875

Step-by-step explanation:

Answer:

2.875

Step-by-step explanation:

its not a whole number its a fraction or decimal but i gave u the decimal

Answer:

36.5

Step-by-step explanation:

First solve for x

Factor:

3x-3-5x+15 = 3

Combine Like Terms:

-2x+12=3

-2x = -9

x = 4.5

PLug it in:

7(4.5)-5

31.5-5

36.5

\({\boxed{\mathcal{\red{Step-by-step\:explanation:-}}}}\)

\(3(x - 1) - 5(x - 3) = 3 \\ ⇝3x - 3 - 5x + 15 = 3 \\ ⇝ - 2x + 12 = 3 \\ ⇝ - 2x = 3 - 12 \\ ⇝x = \frac{ - 9}{ - 2} \\ x = 4.5\)

To verify:

\(3(4.5 - 1) - 5(4.5 - 3) = 3 \\ ✒ \: 13.5 - 3 - 22.5 + 15 = 3 \\ ✒ \: 28.5 - 25.5 = 3\\✒\: 3 = 3\)

✒ L. H. S. = R. H. S.

\(\sf\pink{Hence\:verified.}\) ✔

Now,

7 \(x\) - 5 = 7 x 4.5 - 5

= 31.5 - 5

= 26.5

\(\sf\purple{Therefore,\:the\:value\:of\:''7\:x-\:5''\:is\:26.5.}\)

\(\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘\)

Answer:

384 units²

Step-by-step explanation:

The area of one face is (8)(8)=64.

Multiplying this by the six faces, we get 64(6)=384

Answer:

9

Step-by-step explanation:

5x-3= 2x+24

5x=2x+27

3x=27

X=9

Answer: A.  9

Step-by-step explanation:

The diagonal is bisected by the other diagonal.  So the 2 parts of the diagonal are equal

5x - 3 =  2x + 24                 >Bring like terms to 1 side

3x = 27                                >Divide both sides by 3

x = 9

Answer:

1.8

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

16 - 7 = 9

Answer:

m=7

Step-by-step explanation:

Hello!

3x + 4 = 1

3x + 4 - 4 = 1 - 4

3x = -3

3x/3 = -3/3

x = -1

The solution of the equation 3x + 4 = 1 is -1.

The answer is:

C) x = -1

Work/explanation:

To solve this equation, I subtract 4 from each side:

\(\sf{3x+4=1}\)

Subtract :

\(\sf{3x=-3}\)

Divide each side by 3:

\(\sf{x=-1}\)

Hence, C is correct.

Answer:

(4,0)

Step-by-step explanation:

You basically are plotting a point on the positive number 4 on the x line. Since they're only asking for an X and not a Y, you'd leave it as (4,0). Hope this helps!

Answer:

x = 52 due to vertical angle theorem

Step-by-step explanation:

Vertical angles mean that the angles are congruent.

If we know that one angle is 52 the other one shall be 52 as well because vertical angles state that ones that are directly across are congruent known as equal.

Answer:

To find the mean waiting time, you need to add up all the waiting times and divide by the number of customers. In this case, the total waiting time is 6.8 + 7.5 + 7.2 = 21.5 minutes. Since there are 3 customers, the mean waiting time is 21.5 / 3 = 7.17 minutes. Rounded to one decimal place, the mean waiting time is 7.2 minutes.

Step-by-step explanation:

The shape of the distribution is skewed right.

Option C is the correct answer.

A histogram is an representation of the distribution of data with intervals.

We have,

From the histogram, we see that,

The shape of the distribution is skewed right.

For skewed distributions,

We have one tail of the distribution considerably longer relative to the other tail.

A skewed right distribution is one in which the tail is on the right side.

We get,

Mode > Mean > Median.

A skewed left distribution is one in which the tail is on the left side.

A figure is given below to compare the distribution.

Thus,

The shape of the distribution is skewed right.

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Answer:

36/25

Step-by-step explanation:

If you need help and nobody is answering you or they don't know how to do it. Look at picture below

Answer:

=15.707963x¹³

Step-by-step explanation:

=5*x⁵*x⁸*3.141593

=15.707963*x¹³

=15.707963x¹³

Note:

(*) sign means the sign of multiplication (×)

\(\\ \rm\Rrightarrow 5x^5x^8(3.141593)\)

\(\\ \rm\Rrightarrow 5x^{5+8}(3.141593)\)

\(\\ \rm\Rrightarrow 5x^{13}(3.141593)\)

\(\\ \rm\Rrightarrow 15.7x^{13}\)

Answer:

24

Step-by-step explanation:

take theL.C.M. of 4,6,8.

4=2×2

6=2×3

8=2×2×2

L.C.M.=2×2×2×3=24

Amount to be repaid for Bank A is $2,696.625 and Amount to be repaid for Bank B is $2,741.25. However, I will choose Bank B because it offers a lower interest rate.

The formula to calculate the simple interest is;

I = PRT

Where;

P is principal

R is rate

T is time

Now, we are given that;

Bank A;

Principal amount; P = $2550

Interest rate; R = 11.5% = 0.115

Time; t = 6 months = 0.5 years

Thus;

I = (2550 * 0.115 * 0.5)

I = $146.625

Amount to be repaid = 2550 + 146.625

Amount to be repaid = $2,696.625

Bank B;

Principal amount; P = $2550

Interest rate; R = 7.5% = 0.075

Time; t = 12 months = 1 year

Thus;

I = (2550 * 0.075 * 1)

I = $191.25

Amount to be repaid = 2550 + 191.25 = $2,741.25

Thus, bank B offers a more favorable interest rate and as such would be the preferred bank.

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Answer:

The factors of given polynomial    x =-1 , -2 and x =3

Step-by-step explanation:

Step(i):-

Given the polynomial  

                    f(x) =  x³ - 7x -6

 put x =-1

               f(-1) = (-1 )³- 7(-1) - 6 = -1+7-6=0

(x+1) is a one factor

By using synthetic division

                   x³    x²      x      constant

     x=-1  ↓   1      0      -7        -6

             ↓   0     -1      1          6

                  1       -1      -6       0    

The polynomial    x² - x - 6

Step(ii):-

The factors ( x+1)(x² - x - 6 ) = 0

     x = -1 and x² - x - 6 =0

    x =-1    and  x² - 3x + 2 x - 6 =0

   x =-1     and  x (x -3) + 2( x-3) =0

   x =-1     and  (x+2)(x-3) =0

Final answer:-

The factors of given polynomial    x =-1 , -2 and x =3

Answer:

8

Step-by-step explanation:

The formula for a triangle is bxh/2. 24/6=4x2=8 The answer is 8 out of those options.

Answer:

Step-by-step explanation:

Area of triangle formula: 1/2 x base x height

Let's represent height as h.

Hence, the height of the triangle is 8 inches.

Hoped this helped.

\(BrainiacUser1357\)