Find X, AB, BC, and AC if ABC is equilateral.<br> X = <br>AB =<br> BC = <br>AC =

Which of the following correctly justifies statement 4 of the two-column proof?

slavikrds [6]

Answer:

D.Transitive property of equality

Step-by-step explanation:

We are given that segment JK is parallel to segment LM

We have to prove $\angle 3=\angle 6$

We have to find which option correctly justifies the statement 4 of the two - column proof.

1.Statement : JK is parallel to segment LM

Reason: Given

2. $\angle 7\cong \angle 6$

Reason: Vertical angles theorem

3. $\angle 3\cong \angle 7$

Reason:Corresponding angles theorem

4. $\angle 3\cong \angle 6$

Reason: Transitive property of equality.

If a=b and b=c then a=c

Hence, option D is true.

3 0

3 years ago

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The area of the sahara desert is 7 times the area of the gobi desert if the are of the sahara is approximately 3.5 million squar

Andreyy89

Answer: 500,000

Step-by-step explanation:

3.5M/7=500,000

3 0

3 years ago

Mr Smith's art class took a bus trip to an art museum. The bus averaged 65 miles per hour on the highway and 25 miles per hour i

Leya [2.2K]

Let x be the distance traveled on the highway and y the distance traveled in the city, so:
$\left \{ {{x+y=375} \atop { \frac{1}{65}x+ \frac{1}{25}y =7}} \right.$

Now, the system of equations in matrix form will be:
$\left[\begin{array}{ccc}1&1&\\ \frac{1}{65} & \frac{1}{25} &\end{array}\right] \left[\begin{array}{ccc}x&\\y&\end{array}\right] = \left[\begin{array}{ccc}375&\\7&\end{array}\right]$

Next, we are going to find the determinant:
$D= \left[\begin{array}{ccc}1&1\\ \frac{1}{65} & \frac{1}{25} \end{array}\right] =(1)( \frac{1}{25}) - (1)( \frac{1}{65} )= \frac{8}{325}$
Next, we are going to find the determinant of x:
$D_{x} = \left[\begin{array}{ccc}375&1\\7& \frac{1}{25} \end{array}\right] = (375)( \frac{1}{25} )-(1)(7)=8$

Now, we can find x:
$x= \frac{ D_{x} }{D} = \frac{8}{ \frac{8}{325} } =325mi$

Now that we know the value of x, we can find y:
$y=375-325=50mi$

Remember that time equals distance over velocity; therefore, the time on the highway will be:
$t_{h} = \frac{325}{65} =5hours$
An the time on the city will be:
$t_{c} = \frac{50}{25} =2hours$

We can conclude that the bus was five hours on the highway and two hours in the city.

8 0

3 years ago

James when to sleep at 9:10 he woke up at 9:45 how long was he sleep

horrorfan [7]

Answer:

35 minutes

Step-by-step explanation:

Take the lastest time and subtract the earliest time

9:45

9:10

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

:35

35 minutes

8 0

3 years ago

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Which system of equations represents the matrix shown in the picture!!?

Pavel [41]

The system of equations that represent the matrix is c

7 0

3 years ago

Find X, AB, BC, and AC if ABC is equilateral. X = AB = BC = AC = ​

Find X, AB, BC, and AC if ABC is equilateral. X = AB = BC = AC =