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3 years ago

Complete the two-column proof by providing a reason for each of the five statements.

Mathematics

1 answer:

mrs_skeptik [129]3 years ago

5 0

Answer:

Reason:

1) assumptions given

2) RUTS is a rectangle

3) RUTS is a rectangle

4) because:

+) ∠STU and ∠SRU are the right angles

+) RU = ST; UT = RS

=> ΔURS ≅ ΔSTU (SAS)

5) because ΔURS ≅ ΔSTU (SAS) => ∠USR = ∠SUT

Step-by-step explanation:

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10 POINTS AND WILL GIVE BRAINLIEST

Vladimir [108]

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3 years ago

Which classification describes the following system of equations? inconsistent and dependent consistent and dependent consistent

sveta [45]

The system of equations is consistent and independent and the solutions are x = 4, y = 5, and z = -1 option third is correct.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have three linear equations in three variables:

x - y - z = 0 ..(1)

2x - y + 2z = 1 ..(2)

x - y + z = -2 ..(3)

From the equation (1):

$\rm x=y+z$

Plug this value in the equation (2) and (3):

$\rm 2\left(y+z\right)-y+2z=1\\\\ y+z-y+z=-2$

After solving we get:

z = -1

y = 5

Plug the above two values in equation (1) we get:

x = 4

Thus, the system of equations is consistent and independent and the solutions are x = 4, y = 5, and z = -1 option third is correct.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

5 0

2 years ago

What value of n will make 35 - n = 25 TRUE ? <br> A.) 5 <br> B.) 9<br> C.) 10<br> D.)15

photoshop1234 [79]

C. 10. you can calculate this by adding n to both sides to get 35=25+n and then subtracting 25 from each side to get n=10.

6 0

3 years ago

Read 2 more answers

Solve the following system of equations by elimination:

sergeinik [125]

Answer:

x=4

y=5

(4,5)

Step-by-step explanation:

6 0

3 years ago

If<br> DX/DT= 2cm/s <br> x=-1 <br> y=x^2+1<br> DY/DT=??

kobusy [5.1K]

Answer:

$\frac{dy}{dt}$ = - 4 cm/s

Step-by-step explanation:

Let us revise the chain rule

If $\frac{dy}{dt}$ = a and $\frac{dx}{dt}$ = b, then

$\frac{dy}{dx}$ = $\frac{dy}{dt}$ ÷ $\frac{dx}{dt}$ = $\frac{a}{b}$

∵ y = x² + 1

- Use the differentiation to find $\frac{dy}{dx}$

∴ $\frac{dy}{dx}$ = 2x

∵ x = -1

- Substitute x by -1 in $\frac{dy}{dx}$

∴ $\frac{dy}{dx}$ = 2(-1)

∴ $\frac{dy}{dx}$ = -2

∵ $\frac{dy}{dt}$ = $\frac{dy}{dx}$ × $\frac{dx}{dt}$

∵ $\frac{dx}{dt}$ = 2 cm/s

∴ $\frac{dy}{dt}$ = (-2) × (2)

∴ $\frac{dy}{dt}$ = - 4 cm/s

8 0

3 years ago