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Alexeev081 [22]
3 years ago
5

(04.01 LC)

Mathematics
1 answer:
Marina CMI [18]3 years ago
7 0

Answer:

(D)Prove that opposite sides are congruent and that the slopes of consecutive sides are opposite reciprocals

Step-by-step explanation:

To use coordinate geometry to prove that quadrilateral ABCD is a rectangle. We prove that opposite sides are congruent in order to show equality of the lines.

We also show that the slopes of consecutive sides are opposite reciprocals, this is in order to show that the lines are perpendicular to one another.

<u>The correct option is D.</u>

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While Akira was visiting her sister in Weston, she bought a toy rocket that was marked down 50% from an original price of $40. I
maw [93]

Answer:

me when I

Step-by-step explanation:

A

5 0
3 years ago
This is a simultaneous equation and I need help<br> 5x+3y=27<br> 2x+y=10
Serhud [2]

Answer:

(3, 4 )

Step-by-step explanation:

5x + 3y = 27 → (1)

2x + y = 10 ( subtract 2x from both sides )

y = 10 - 2x → (2)

substitute y = 10 - 2x into (1)

5x + 3(10 - 2x) = 27

5x + 30 - 6x = 27

- x + 30 = 27 ( subtract 30 from both sides )

- x = - 3 ( multiply both sides by - 1 )

x = 3

substitute x = 3 into (2)

y = 10 - 2(3) = 10 - 6 = 4

solution is (3, 4 )

4 0
2 years ago
Read 2 more answers
Determine the measure of angle a. PLEASE HELP ASAP!
wlad13 [49]

Answer:

D

Step-by-step explanation:

Remember that the sum of the interior angles of a triangle will always total 180.

Therefore:

(9x+6)+(74)+(16x)=180\\

Let’s solve for <em>x: </em>

Combine LIke Terms:

(9x+16x)+(74+6)=180

Add:

25x+80=180

Subtract 80 from both sides:

25x=100

Divide both sides by 25:

x=4

Therefore, the value of <em>x </em>is 4.

Now, to find A, we can substitute it for A.

A is measured by:

\angle A=9x+6

Substitute 4 for <em>x</em> and evaluate:

\angle A=9(4)+6=36+6=42\textdegree

Hence, our answer is D.

6 0
3 years ago
Given the point (3,4) the slope of 6, find y, when x=27
vitfil [10]

Answer:

y = 148

Step-by-step explanation:

First, we use the point-slope form of the equation of a line to find the equation of this line.

y - y1 = m(x - x1)

y - 4 = 6(x - 3)

y - 4 = 6x - 18

y = 6x - 14

Now we let x = 27 and find y.

y = 6(27) - 14

y = 162 - 14

y = 148

6 0
3 years ago
Can someone help me with this
insens350 [35]
Let's solve this problem step-by-step.

STEP-BY-STEP EXPLANATION:

We will be using simultaneous equations to solve this problem.

The sum of angles on a straight line is 180°.

( R ) and ( 2x + 5 ) are both on the same straight line.

Therefore:

Equation No. 1 -

R + 2x + 5 = 180

R = 180 - 2x - 5

R = 175 - 2x

Vertically opposite angles are equivalent to each other.

( R ) is vertically opposite ( 3x + 15 ).

Therefore:

Equation No. 2 -

R = 3x + 15

Substitute the value of ( R ) from the first equation into the second equation to solve for ( x )

R = 3x + 15

175 - 2x = 3x + 15

- 2x - 3x = 15 - 175

- 5x = - 160

x = - 160 / - 5

x = 160 / 5

x = 32

Next we will substitute the value of ( x ) from the second equation into the first equation to solve for ( R ).

Equation No. 2 -

R = 175 - 2x

R = 175 - 2 ( 32 )

R = 175 - 64

R = 111

FINAL ANSWER:

Therefore, the answer is:

R = 111

x = 32

Hope this helps! :)
Have a lovely day! <3
7 0
3 years ago
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