Mathematics High School

Given that rectangle LMNO with coordinates L(0,0), M(3,0), N(3,7), O(0,7), P is the midpoint of LM⎯⎯⎯, and Q is the midpoint of NO⎯⎯⎯, which of the following proves that PQ=LO?

Answers attached

Given That Rectangle LMNO With Coordinates L(0,0), M(3,0), N(3,7), O(0,7), P Is The Midpoint Of LM, And

Answers

Answer 1

The midpoint of a line divides the line into equal segments.

The option that proves PQ = LO is (a)

The given parameters are:

[tex]\mathbf{L = (0,0)}[/tex]

[tex]\mathbf{M = (3,0)}[/tex]

[tex]\mathbf{N = (3,7)}[/tex]

[tex]\mathbf{O = (0,7)}[/tex]

P is the midpoint of LM.

So, we have:

[tex]\mathbf{P = \frac{LM}{2}}[/tex]

[tex]\mathbf{P = (\frac{(0 +3}{2},\frac{0+0}{2})}[/tex]

[tex]\mathbf{P = (\frac{3}{2},0)}[/tex]

Q is the midpoint of NO.

So, we have:

[tex]\mathbf{Q = \frac{NO}{2}}[/tex]

[tex]\mathbf{Q = (\frac{(3 +0}{2},\frac{7+7}{2})}[/tex]

[tex]\mathbf{Q = (\frac{3}{2},7)}[/tex]

Distance PQ is calculated as follows:

[tex]\mathbf{d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}}[/tex]

This gives:

[tex]\mathbf{PQ = \sqrt{(3/2 - 3/2)^2 + (0 - 7)^2}}[/tex]

[tex]\mathbf{PQ = \sqrt{ 7^2}}[/tex]

[tex]\mathbf{PQ = 7}[/tex]

Distance LO is calculated as follows:

[tex]\mathbf{LO = \sqrt{(0 - 0)^2 + (0 - 7)^2}}[/tex]

[tex]\mathbf{LO = \sqrt{ 7^2}}[/tex]

[tex]\mathbf{LO=7}[/tex]

So, we have:

[tex]\mathbf{PQ = 7}[/tex]

[tex]\mathbf{LO=7}[/tex]

Thus:

[tex]\mathbf{PQ = LO}[/tex]

Hence, the correct option is (a)

Read more about distance and midpoints at:

https://brainly.com/question/11231122

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7819 rounded to 1 significant figure

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Answer:

8000

Step-by-step explanation:

Which point is the vertex?
C
B
A
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Answer:

B

Step-by-step explanation:

Hope this helps you out! :)

2(y−1)+6y = −10
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Answers

Answer:

0.111 hope that helps you

2(y - 1) + 6y = -10
2y - 2 + 6y = -10
8y - 2 = -10
8y = -8
y = -1

Create a right triangle, in which A is the right angle, and mZC is approximately 60°. What is the approximate measure of _B? m_B = What is the sum of m_A, m_B, and m_C?​

Answers

Answer:

The answer would be 30 the second one is 180

mark me brainlyest plz

erome has an app that tracks his running times and distances. He records his distances and times in a table.
Time (secs) Distance (mi)
3
14.4
6
28.8
9
43.2
12
57.6
What is Jerome's speed in distance compared to time?
Enter only a number in the space provided. Do not enter words in the box.

Answers

Answer:

IM SMART

Step-by-step explanation:

Two people wrote a book together. They agreed to share the royalties so that the senior author received twice as much as the
junior author. What is each author's share of a $2400 royalty check?

Answers

Answer:

Junior author = $800

Senior author = $1600

Step-by-step explanation:

The check is split between the senior author and junior author in the ratio of 2:1

2:1 = $2400

Add the ratios together:

2 + 1 = 3

3 parts = $2400

Find one part of the total check by dividing both sides by 3:

1 part = $800

The junior author would get $800, and the senior author would get double, $1600

This is a 30-60-90 triangle.
What is the measure of x?
18
X
X
x = 9V [?]

Answers

Answer:

[tex] \huge\: x =9 \sqrt{ \boxed{3}} [/tex]

Step-by-step explanation:

Given is a 30°-60°-90° triangle and x is the length of side opposite to 60° angle.

[tex] \therefore \: x = \frac{ \sqrt{3} }{2} \times 18 \\ \\ \therefore \: x = \sqrt{3} \times 9 \\ \\ \huge\therefore \: x =9 \sqrt{ \boxed{3}} [/tex]

Answer:

3

Step-by-step explanation:

given the graphs of f and g below, find the following. give the exact if defined.

Answers

Answer:

looks like your understanding is pretty good! I'm not sure how you missed the first 2... you should check those two against your understanding.

Step-by-step explanation:

a) 2

b) 1

maths help me form 1 maths ​

Answers

Answer:

(i. -15<-9)

II. is -3^2 is > then 2^3

Answer:

1 = <

2= >

Step-by-step explanation:

...
PLEASE HELP!!

What is the equation of the line —3x – 2y = 30 in slope-intercept form?

Answers

I believe the first answer shown in the picture because y= mx + b so it's y=3x+30

hope this helps!

find the value of x ​

Answers

The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles.

In the given problem, x represents the exterior angle, while the m < 65° and m < 48° are the non-adjacent interior angles.

To find the value of x:
65° + 48° = x
113° = x

Therefore, the value of x = 113°

write each of the following in the form of a x + B Y + C is equal to zero and find the values of a b and c ​

Answers

Step-by-step explanation:

(i) 2x = 5

compare with ax+by+c = 0

→ 2x + 0.y - 5 = 0

» a = 2 ,b = 0 ,c = -5

(ii) y - 2 = 0

compare with ax + by + c = 0

→ 0.x + 1y -2 = 0

» a = 0 , b = 1 , c = -2

(iii) y/7 = 3

y = 3×7

y = 21

y - 21 = 0

compare with ax + by + c = 0

→ 0.x + 1y -21 = 0

» a = 0 , b = 1 , c = -21

(iv). x = -14/13

13x = -14

13x + 14 = 0

compare with ax + by + c = 0

→ 13x + 0.y + 14 = 0

» a = 13 , b = 0 , c = 14

Solve each system of linear equations using the elimination mehod
-8x + 10y = -22
8x - 15y = 17

Answers

Answer: y = 1 and x = 4

Step-by-step explanation:

-8x + 10y = -22

8x - 15y = 17

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

- 5y = -5 Add the two equations to eliminate x

y = 1 Solve for y

=====

8x - 15y = 17 (y = 1) Use y=1 in either equation

8x - 15 = 17

8x = 32

x = 4 Ta da

Answer:

solution:  x = 4, y = 1 or (4, 1)

Step-by-step explanation:

To solve the system of linear equations using the elimination method, simply add both equations together (since the coefficeints of x have opposite signs):

-8x + 10y = -22

+ 8x -  15y =  17

       - 5y  = -5

Divide both sides by -5 to solve for y:

[tex]\frac{-5y}{-5} = \frac{-5}{-5}[/tex]

y = 1

Next, substitute the value of y into one of the equations to solve for x:

-8x + 10y = -22

-8x + 10(1) = -22

-8x + 10 = -22

Subtract 10 from both sides

-8x + 10 - 10 = -22 - 10

-8x = -32

Divide both sides by -8 to solve for x:

[tex]\frac{-8x}{-8} = \frac{-32}{-8}[/tex]

x = 4

Therefore, the solutions to the given systems of linear equations are: x = 4, y = 1 or (4, 1).

Use the Pythagorean Theorem to find the distance between the point (1,4) and (-5,-4) on the coordinate plane? (FREE RESPONSE)
no pic ANSWER IT

Answers

Answer:

12?

Step-by-step explanation:

Answer:The Answer is 10!!!

Step-by-step explanation:

If you plot (1,4) and (-5,-4) on a graph, you can see that you can form a right triangle.

you would count the values on the X-axis and on the Y-axis. The values are 6 and 8 respectively.

You put the values on the second power and add them. So the equation would be 6^2 + 8^2. The answer would be 100.  Because the Pythagorean Theorem is a^2 + b^2= c^2, you would square root would be 10. The distance between the two points is 10.

Does anyone know this please!!?!?

Answers

Answer:

5)3/2

6) 7

7)16

8)13

9)27

10)17

Step-by-step explanation:

5) 4x+3=10x-1

x=3/2

6)9x-25=38

x=7

7)5x-7=

Please help! And give explanation please

Answers

Answer:

the answer is option D

Step-by-step explanation:

if you add the no of students in favour of the survey

32+42+58+64=192

which makes the first option incorrect.

The opinion of tenth and eleventh graders are not identical.

11th and 12th graders gave a favourable response

so options A,B and C are incorrect

PLEASE HELP what is the next term what is A in the sequence and what is the common ratio for 2 4 8 16 32

Answers

Answer:

The next term is 64, a is 2, and the common ratio is 2.

Step-by-step explanation:

Look at what's happening from each number to the next. What do you need to do to get from 2 to 4, or 4 to 8? Multiply by 2. That's your common ratio. To get the next number in the sequence, multiply the last number by the common ratio of 2. 32 x 2 = 64, so the next number in the sequence is 64. "a" is just the very first term, meaning it's 2.

Please help me due in an hour

Answers

Answer:

Ok so it would be square root 1

Step-by-step explanation:

A truck can cover 126km in 12 hours.Find the distance
covered by the truck in 8 hours.

Answers

Answer:

[tex] |v| = \frac{d}{t} \\ |v| = \frac{126km}{12hr} = 10.5km. {hr}^{ - 1} \\ d = |v| \times t\\ d = 10.5km. {hr}^{ - 1} \times 8hr \\ \boxed{d = 84km}[/tex]

3 x 100 + 5 x 10 +6⋅1 + 8 x .1 + 2 x .01



100 points AND crown to right answer

Answers

your answer is 357.1

Pls HelP Me ASAP!~!~!~!
Describe and correct the error
|-13|-|13|
=-13-13
=-26

Answers

Answer:

The error is that the question equals -13-13.

Step-by-step explanation:

This is absolute value, so anything inside of the bars is positive. Since the first -13 has bars around it it would be positive. But since the second - is outside of the 13 with bars, the 13 stays negative, so it would be 13-13. Hope this helps! :)

if 0 prove:
a) a³ what is the answer?

Answers

I think you meant, if a = 0.

If a = 0, then,

a³ = 0³

a³ = 0 × 0 × 0

a³ = 0

Any number multiplied by 0 is 0.

Please help I really need help.

Answers

u need a protractor

A hardware dealer has 168kg of nails, if one nail weighs 0.25kg, how many nails he have?​

Answers

Answer:

He has 672 nails

Step-by-step explanation:

168/.25

Answer:

He has 672 nails.

Step-by-step explanation:

Weight of all nails=168

Weight of a nail=0 .25

Then,

Number of nails=168/0.25

=672

please help!
-
-
-
-
-

Answers

The answer has to be in y-intercept form. Which is y=mx+b and b can also be neg. y=mx-b. The m is your slope and b is your y-intercept. So A’s slope counting from 3 on the y axis to 1 on the x-axis which is down 2 over 1 so it will be -2/1. And your y intercept is 3. The equation is y=-2x+3. For B its the same thing but no graph. Remember that slope is RISE over RUN. So since the number is on the bottom of the line the rise is 4 and the run is 1. So in this case 10 is your y-intercept. Which means you equation is y=4x+10.

HELP HELP! Will give brainliest

Answers

Answer:

2347897876 my number

Step-by-step explanation:

can somebody help me with number 26 please? Giving brainliest!!

Answers

Answer:

Ans 26

Step-by-step explanation:

F(x) = x/2

proof:

at x=0, f(x)=0

at x= -2 , f(x) = -1

and x = -4 , f(x) = -2

that's it.

can someone help me please ?

Answers

Answer:

18 x^7 y^5

Step-by-step explanation:

A dump truck can hold 2¼ tons of gravel. The pay loader loading the truck puts 750 pounds of gravel in the truck at one time. How many loads does the pay loader need to dump in the truck before it is full?​

Answers

Answer:

6 loads would be required to fill the truck with 2¼ tons

Step-by-step explanation:

1 ton= 2000 pounds

2¼ tons= 4500 pounds

4500/750=6

Please allow me to know this helped by clicking thank you, rating or brainly.

Thank you,

Miss Hawaii

Answer:

6 loads

Step-by-step explanation:

What is the decimal equivalent of 2
- ?
3​

Answers

Answer:

.666

Step-by-step explanation:

The decimal answer of two thirds is zero point six repeating
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