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9 months ago

State the postulate of the theorem that justifies the answer

Mathematics

1 answer:

BlackZzzverrR [31]9 months ago

3 0

From the given information, we can note that angle1 and angle2 are corresponding angles with respect to line u. Angle2 and angle9 are alternate exterior angles with respect to the right vertical line and angle5 and angle7 are alternate interior angles with respect to line v.

Therefore, the theorems which justify the answer are, respectively: Corresponding angles theorem, Alternater exterior angles theorem and Alternate Interior angles theorem.

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Which ordered pair makes the equation true? 2x – 5y = –10

natali 33 [55]

(5,4) simply substitute the values in! they work :) hope it helped

6 0

2 years ago

Read 2 more answers

A student spends 40 minutes a day studying how many days per year does the student study?

melomori [17]

All you would have to do is do 40x365 then divide that by 24 hours and that’s you answer!

3 0

3 years ago

Please help me find the answer pls

fiasKO [112]

Answer:

A. Solutions are: x = 2, y = 1.

B. Solutions are: x = 3, y = 2.

1. Inconsistent

2. Inconsistent

3. Consistent

Step-by-step explanation:

A. Solutions of each system of linear equations by substitution method:

Equation 1: 3x - 2y = 4

Equation 2: x = 2y

Step 1: Substitute x = 2y into the Equation 1:

3(2y) - 2y = 4

6y - 2y = 4

4y = 4

Step 2: Divide both sides of the equation by 4 to isolate y:

$\frac{4y}{4} = \frac{4}{4}$

y = 1.

Step 3: For Equation 2, x = 2y, substitute y = 1 into the equation to solve for x:

x = 2y

x = 2(1)

x = 2

Therefore, the solutions are: x = 2, y = 1.

B. Find the solutions of each system of linear equations by elimination method:

Equation 1: 2x + y = 8

Equation 2: x + y = 5

Step 1: Multiply Equation 2 by 2:

2(x + y) = 5(2)

2x + 2y = 10

Step 2: Subtract Equation 1 from the equation derived from Step 1, 2x + 2y = 10:

2x + 2y = 10

- 2x + y = 8

y = 2

Step 3: Plug in y = 2 into Equation 1, 2x + y = 8 to solve for x:

2x + y = 8

2x + (2) = 8

Step 4: subtract both sides of the equation by 2 to isolate x:

2x + 2 - 2 = 8 - 2

2x = 6

Step 5: Divide both sides of the equation by 2 to solve for x:

$\frac{2x}{2} = \frac{6}{2}$

x = 3.

The solutions are: x = 3, y = 2.

1. Inconsistent

2. Inconsistent

3. Consistent (infinitely many solutions)

3 0

3 years ago

Pls help, more equations. If you answer, you can do it on paper, then take a photo and post it as your answer

jenyasd209 [6]

Answer:

all work is shown and pictured

6 0

3 years ago

If f(x) = x/2 plus 8 what is f(x) when x = 10

kicyunya [14]

$f(x)=\frac{x}{2}+8$

Given y = f(x)

Substitute x = 10.

$f(10)=\frac{10}{2} +8\\f(10)=5+8\\f(10)=13$

Therefore f(x) = 13 when x = 10

5 0

3 years ago