In the diagram below of triangle OPQ, R is the midpoint of OQ and S is
the midpoint of PQ. If RS = 18 – 4x, and OP = -9 + 7x, what is the
measure of OP?
R
S
O

Answers

Answer 1

Answer:

Measurement of OP = 12

Step-by-step explanation:

Given:

R is mid point of OQ

S is mid point of PQ

RS = 18 – 4x

OP = -9 + 7x

Find:

Measurement of OP

Computation:

R is mid point of OQ and S is mid point of PQ;

By using mid point theorem

[1/2][OP] = RS

So,

[1/2][-9 + 7x] = [18 - 4x]

[-9 + 7x] = 2[18 - 4x]

-9 + 7x = 36 - 8x

7x + 8x = 36 + 9

15x = 45

x = 45 / 15

x = 3

So,

OP = -9 + 7x

OP = -9 + 7(3)

Measurement of OP = 12


Related Questions

3. Write a pair of linear equations which has the unique solution x= 1 , y= -1.

Answers

Step-by-step explanation:

The equations with solution x = 1 and y = (-1) will intersect each other at (1,-1) .

Equation 1 :-

Say slope is 1 .

→ y - (-1) = 1 ( x -1)

→ y +1 = x -1

→ x - y -2 = 0

Equation 2 :

Slope = -1

→ y - (-1) = -1( x -1)

→ y +1 = -x +1

→ x + y = 0

Required answer

1. Find the probability of rolling a sum less than 4 or a
sum greater than 8 when a pair of dice is rolled.

Answers

Answer:  13/36

=============================================================

Explanation:

Refer to the chart below. The values in red up top add to the values in blue along the left column to get the 6 by 6 grid of values inside. This represents all of the possible ways to add up values on a pair of dice. There are 6*6 = 36 outcomes.

Of those 36 outcomes, we have 13 outcomes where we roll less than a 4, or greater than 8

outcome = 1+1 = 2outcome = 1+2 = 3outcome = 2+1 = 3outcome = 3+6 = 9outcome = 4+5 = 9outcome = 5+4 = 9outcome = 6+3 = 9outcome = 4+6 = 10outcome = 5+5 = 10outcome = 6+4 = 10outcome = 5+6 = 11outcome = 6+5 = 11outcome = 6+6 = 12

These 13 results are shown in green boxes in the diagram.

Since we have 13 ways to get what we want, out of 36 total, the final answer as a fraction is therefore 13/36

13/36 = 0.3611 = 36.11% approximately

what is the value of x

Answers

Answer:

20

Step-by-step explanation:

Those angles are the same so you can put them in an equation like this:

x + 60 = 4x

Then you subtract x from both sides to get variables on one side and constants on the other:

60 = 3x

Now divide by three to find what just x is:

20 = x

And there you go <3

The average distance between the planet Neptune and the sun is about 4 x 10^9 kilometers. What is 4 x 10^9 written in standard notation?

A. 0.0000000004
B. 0.000000004
C. 400,000,000
D. 4,000,000,000

Answers

D. 4,000,000,000

The 9 shows that the decimal moves to the right 9 times. If it were a -9 it would move to the left 9 times.

1. True or False
3 € {1, 2, 3, 4, 5}
True
O False

Answers

the anwser for this is true

Answer:

I also think it's true because it mostly made sense to me.

The function f(x)=-\x-4/+6 is increasing
through the interval -
A. 6 C. 4 B. -00< x < 4
D. 4 :)

Answers

Answer:

Option B

Step-by-step explanation:

Given function is,

f(x) = -|x - 4| + 6

By using a graphing tool we can get the graph of the given function.

From the graph attached slope of the line drawn from [tex]x=-\infty[/tex] to [tex]x=4[/tex] is positive while slope of the line from [tex]x=4[/tex] to [tex]x=\infty[/tex] is negative.

Therefore, segment showing a positive slope will be increasing in the given interval [tex]-\infty<x<4[/tex].

Function 'f' is increasing in the interval [tex]-\infty<x<4[/tex].

Option B will be the correct option.

Will give brainliest

The ages of two groups of karate students are shown in the following dot plots:


A dot plot shows Age in years on the horizontal axis. For Group A, there are 2 dots on 4, 5 dots on 5, 3 dots on 7, 4 dots on 8, 2 dots on 9, 2 dots on 11, and 1 dot on 14. For Group B, there is 1 dot on 7, 2 dots on 8, 1 dot on 9, 1 dot on 11, 1 dot on 16, 2 dots on 19, 2 dots on 20, 2 dots on 21, and 1 dot on 26.


The mean absolute deviation (MAD) for group A is 2.07 and the MAD for group B is 5.51. Which of the following observations can be made using these data?


Group A has greater variability in the data.

Group A has less variability in the data.

Group B has a lower range.

Group B has a lower mean.

Answers

Answer:

Group A has greater variability in the data.

Step-by-step explanation:

We use elimination. Clearly, from the MAD, Group A has greater variability in the data.

So, choice 1.

Peter, Bridget and Caroline share some sweets in the ratio 2:5:2. Peter gets 14 sweets. How many did Bridget get?

Answers

Answer:

35

Step-by-step explanation:

The 14 sweets Peter gets is 2 parts of the ratio, then

14 ÷ 2 = 7 ← number of sweets in 1 part of the ratio , then

5 parts = 5 × 7 = 35 ← number of sweets Bridget gets

If WXYZ is a square, which statements must be true? Check all that apply.

Answers

Answer:

A might be right

hope this is helpful

The required correct statement for WXYZ to be a square is given as,
A. WX ≅ XY.
C. WXYZ  is parallelogram.
D. ∠W is congruent to ∠Y.
E. ∠W is a right angle.

What is the square frame?

A frame with a square shape i.e. all sides are identical and the measure of the angle between the side is 90°.

Here,
A square is a four-sided regular polygon, and also square is said to be a parallelogram because the opposite of a square is parallel. And each of the four angles of the square is equal to each other and has a measure of 90°.

Thus, the correct statement for the square has been shown above.

Learn more about square here:
https://brainly.com/question/1658516
#SPJ2



Which diagram is NOT a good model of 1/5÷6?

Answers

Answer:

The circle one

Step-by-step explanation:

What you need to do is count the number of squares or slices it has and then count how Buchanan the chunk is divided into, should be 6

Answer: Lower left corner

==============================================================

Explanation:

Ignore the dashed smaller lines for now. The solid black vertical lines form 4 smaller equal pieces, and not 5. Each tickmark represents 1/4 and not 1/5

So if you wanted to represent a model for [tex]\frac{1}{4}\div 6[/tex], then you would use the lower left corner. However, we want that 1/4 to be 1/5 instead. So this is why the answer is the lower left corner.

Everything else is a correct model. We started dividing everything into 5 equal parts. Then we focused on one of those slices, and subdivided that slice into 6 equal parts. Imagine doing that for each slice and we should have 5*6 = 30 smaller pieces total. Hence [tex]\frac{1}{5} \div 6 = \frac{1}{5} \times \frac{1}{6} = \frac{1}{30}[/tex]

Using the function p(x)=4x-3 what is p(5)

Answers

Answer:

p(5) = 17

Step-by-step explanation:

p(x) = 4x - 3

p(5) = 4(5) - 3

     = 20 - 3

     = 17

Marlene surveyed her classmates asking them whether they prefer to vacation during spring break or summer and the type of vacation preferred. The results are shown in the table.

Marlene surveyed her classmates asking them whether they prefer to vacation during spring break or summer and the type of vacation preferred. The results are shown in the table.

A 4-column table with 5 rows titled Vacation Preferences. Column 1 has entries beach, big city, camping, skiing, total. Column 2 is labeled spring with entries 35, 7, 14, 4, 60. Column 3 is labeled summer with entries 10, 2, 8, 10, 30. Column 4 is labeled total with entries 45, 9, 22, 14, 90.

Complete each statments.
About ____% of the students surveyed prefer a spring camping vacation.
About ____% of the students surveyed prefer a big city vacation.

Answers

Answer:

The answers for ed is

Step-by-step explanation:

16 and 10

to solve the equation 4+3x^2-7x=0 using the quadratic formula, what are the values of a, b, and c

Answers

a = 3

b = -7

c = 4

Explanation

what you need to know:

[tex]a {x}^{2} + bx + c = 0[/tex]

what you have:

[tex]4 + 3 {x}^{2} - 7x = 0[/tex]

so you just rearrange them from highest exponent being on the left to lowest exponent being on the right:

[tex]3 {x}^{2} - 7x + 4 = 0[/tex]

thr value of k if x-1 is a factor of 2x^3 +3 kx^2+2x-1​

Answers

Answer:

-2/3

Step-by-step explanation:

put 1 in x should be 0

k is -2/3

What is the standard equation of a circle with center (-2,0) and radius 4?

Answers

Answer:

B(x+2)^2+y^2=16

Step-by-step explanation:

since you have an x-coordinate only and it is negative and a y coordinate which is 0..basically x will appear positive with its conjecture x^2 and the y value will be independent...y^2...bare in Mind that radius is always squared hence it is 16 instead of 4

Length of rectangle is 2(7z + 3) meters. the width is 5z meters than length perimeter in terms of z please

Answers

Answer:

Step-by-step explanation:

Given,

Length (l) = 2(7z + 3) = 14z + 6

Breadth (b) = 5z

Now,

Perimeter of rectangle (P) = 2(l + b)

                                           =2(14z + 6 + 5z)

                                           =2(19z + 6)

                                           =38z + 12

Someone help me solve this

Answers

Answer:

x=-2

Step-by-step explanation:

1.1x +1.2x -5.4 = -10

Combine like terms

2.3x -5.4 = -10

Add 5.4 to each side

2.3x -5.4+5.4 = -10+5.4

2.3x = -4.6

Divide each side by 2.3

2.3x/2.3 = -4.6/2.3

x= -2

HELP NEEDED PLEASE!!
Calculate the volume of the following Prism. V = ####

Answers

Answer:

720

Step-by-step explanation:

first, to figure out the side lengths you do 12*10 = 120 then 120*6 = 720 (because those sides are all equivalent)

PLEASE HELP ASAP :D
what is
sin
cos
tan

Answers

Answer:

sin=180/181

cos=19/181

tan=19/180

Which of the following formulas is used to find the circumference of a circle?
O A. C = op?
B. C = 23d
O C. C = 8012
O D. C = 281

helpp someoneee

Answers

Answer:

D.

Step-by-step explanation:

Circumference of a circle is also referred to as the perimeter bordering the circle.

Thus, it is given as:

C = 2πr

C is circumference

r = half of the diameter of the circle = r

This formula used in finding the circumference of a circle is C = 2πr

The topic is about secant tangent angles

Answers

Answer:

x = 71

Step-by-step explanation:

The chord- chord angle is half the sum of the arcs intercepted by the angle and its vertical angle, that is

x = [tex]\frac{1}{2}[/tex] (92 + 50) = 0.5 × 142 = 71

Jorge got a hit 8/25 of the times that he
batted. What percent of the times did
he get a hit?

Answers

Answer:

32%

Step-by-step explanation:

Percent means out of 100 so we need the denominator to be 100

8/25  * 4/4 = 32/100

The percent is the numerator since it is now out of 100

32%

Answer: 32%

Step-by-step explanation:

32%

Rewrite the expression in the form zn.

Answers

Answer:

zⁿ = z³

Step-by-step explanation:

We have the expression:

√(z/ z^⅓)

Hence

= z^½/ (z^⅓)^½

= z^½/ (z^⅙)

= z^(½ ÷⅙)

= z ^(1/2 × 6/1)

= z³

Therefore: zⁿ = z³

Find m1 please help will give brainlyest

Answers

Answer:

The intercepted arc is twice the value of the inscribed angle. Since the intercepted arc is 110°, this means that the inscribed angle 1 is 55°.

1 = 55 degrees
Explanation it is

You are hiking in Marin, and stop to stand on the edge of a cliff overlooking the Pacific ocean. You see a sailboat down in the water below you. The angle of depression to the sailboat is 28◦ . A quick tells you that the cliff you’re standing on is 150ft. How far away from the boat are you, in feet, rounded to one decimal place?(30pts)

Answers

Answer:

Step-by-step explanation:

on the edge of a cliff overlooking the Pacific ocean. You see a sailboat down in the water below you. The angle of depression to the sailboat is 28◦ . A quick tells you that the cliff you’re standing on is 150ft. How far away from the boat are you, in feet, rounded to one decimal place?(30pts)

We solve using the Trigonometric function of TANGENT

tan 28 = 150/x

Convert the measurement as indicated

12 yd to foot



Show steps



Will give Brainlist



Help

Answers

Answer:

36 ft

Step-by-step explanation:

Given :

12 yards.

We need to convert it into feets. We know that ,

[tex] \implies[/tex] 1 yard = 3 feet

[tex] \implies[/tex] 12 yards = 12 * 3 ft

[tex] \implies[/tex] 12 yards = 36 ft .

Hence the required answer is 36 feets .

Answer:

the formula for converting yards into feet: 1 yard is equal to 3 feet. Write out the necessary math problem or use a calculator. If you want to convert 21 yards, for example, the problem would be 21 multiplied by 3 (21 x 3). Finish the conversion.

SO,

12 yd 36.00 ft

PLEASE HELP!!
What is x? Show your work.

Answers

Answer:

Girl i dont know im so sorry

Step-by-step explanation:

good luck on ur assignment tho xoxo

John brother Ricky also works part time in the summer. Ricky started working at the same time as John with a. Account balance of $227and deposit $24 each week. Writ an expression for the amount Ricky has in the bank after w week

Answers

Answer:

$227 + $24w

Step-by-step explanation:

Initial balance = $227

Amount deposited per week = $24

Amount in account after w weeks

Total amount = initial balance + total weekly deposit

Total Weekly deposit = $24 * number of weeks

Number of weeks = w

Hence,.

Total deposit = $227 + $24w

Simple approved by trying title to the statements and reasons columns

Answers

Answer:

90 and 80 degrees

Step-by-step explanation:

HELP NOW PLEASE I HAVE 10 MINUTES! 20 POINTS
If f(x) = 4x^2 + 1 and g(x) =x^2 - 5, find (f-g)(x)

Me and my procrastination habits smh
Also let me know if you can help with other questions I have 2 more

Answers

Slope:  

2

3

y-intercept: (0,−6)xy0−63−4

i’m pretty sure the answer is 3x^2+6

let me know if this doesn’t make sense and i can fix it :)
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