1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
iris [78.8K]
4 years ago
9

If OP=17 and QP=6, what is OQ? First, complete the Segment Addition Postulate for this problem.

Mathematics
1 answer:
LenaWriter [7]4 years ago
5 0

Answers:

OQ + QP = OP

OQ = 11

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

Explanation:

The smaller pieces OQ and QP glue together to form the larger segment OP. This is effectively what the Segment Addition Postulate says. This only works if all three points are on the same single line segment.

We know that OP is 17, so QP = 6 adds to the other unknown piece to get 17. The other piece must be 11 units long. Algebraically you could write,

OQ + QP = OP

OQ + 6 = 17

OQ + 6-6 = 17-6 ... subtracting 6 from both sides

OQ = 11

You might be interested in
What is the perimeter of the trapezoid with vertices Q(8, 8), R(14, 16), S(20, 16), and T(22, 8)? Round to the nearest hundredth
andre [41]

Answer:

The perimeter is 38.25 units

Step-by-step explanation:

The perimeter of the tra-pezoid is the distance around it.

The length of the bases can be found using the absolute value method.

|RS|=|20-14|=6 units.

|TQ|=|22-8|=14

Recall the distance formula;

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We use the distance to find the non parallel sides.

|ST|=\sqrt{(20-22)^2+(16-8)^2} =8.25 units.

and

|QR|=\sqrt{(8-14)^2+(16-8)^2} =10 units.

The perimeter of the tra-pezoid is

=14+10+6+8.25=38.25

7 0
3 years ago
Read 2 more answers
A poll agency reports that 75% of teenagers aged 12-17 own smartphones. A random sample of 234 teenagers is drawn. Round your an
GalinKa [24]

Answer:

If our random variable of interest for this case is X="the number of teenagers between 12-17 with smartphone" we can model the variable with this distribution:

X \sim Binom(n=234, p=0.75)

And the mean for this case would be:

E(X) =np = 234*0.75= 175.5

And the standard deviation would be given by:

\sigma =\sqrt{np(1-p)}= \sqrt{234*0.75*(1-0.75)}= 6.624

Step-by-step explanation:

If our random variable of interest for this case is X="the number of teenagers between 12-17 with smartphone" we can model the variable with this distribution:

X \sim Binom(n=234, p=0.75)

And the mean for this case would be:

E(X) =np = 234*0.75= 175.5

And the standard deviation would be given by:

\sigma =\sqrt{np(1-p)}= \sqrt{234*0.75*(1-0.75)}= 6.624

3 0
3 years ago
Triangle XYZ is rotated 90° counterclockwise about the origin.
sergeinik [125]

Answer:

i think 42

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Work out the volume of this sphere?
Elina [12.6K]

Answer:

434.9

Step-by-step explanation:

\frac{4}{3} × π (4.7)²

434.893

4 0
3 years ago
Read 2 more answers
AlMarai, a beverage company is planning to change its juice package size. Currently, there are 9 ounces of juice in each package
Andre45 [30]

The percentage of more juices that will be in the new package is 35.71%

<h3>What are word problems?</h3>

Word problems in mathematics are things happening in our daily life and we can use mathematical concepts and arithmetic operations to put a solution to those things.

From the given information, it was stated that:

  • Almarai usually have 9 ounces of juice in each package, while
  • Their new package will contain 14 ounces.

Our objective is to find the percentage of more juice that will be in the new package.

The percentage of more juice in the new package will be:

\mathbf{=\dfrac{14 - 9}{14} \times 100 \%}

\mathbf{=\dfrac{5}{14} \times 100 \%}

= 35.71%

Learn more about word problems here:

brainly.com/question/21405634

7 0
3 years ago
Other questions:
  • All points on a given line have their y-coordinate as 9. What is the equation of this line? A. x + y = 9 B. x – y = 9 C. x = 9 D
    5·2 answers
  • 7) Find the slope of the graph of the equation 3x+15y=25.<br><br> *Plz, Plz, Plz show your work.*
    11·1 answer
  • Find the two missing terms of the sequence and determine if the sequence is arithmetic, geometric, or neither.
    7·1 answer
  • Kinda struggling need help find the answer X^2+6x-72=0
    12·2 answers
  • What will be the Coordinates of point T after a 180 rotation about the origin​
    8·1 answer
  • I NEED HELP ASAP!<br><br> Evaluate -6 - (-9) ÷ 3
    15·1 answer
  • Michael wants to buy an efficient Smart car that according to the latest EPA standards gets 33 mpg in the city and 40 mpg on the
    10·1 answer
  • Carl has visited 49 of the 50 states what percent of the states has he visited
    8·1 answer
  • A bag contains 4 blue marbles, 10 green marbles, and 11 yellow marbles. Twice you draw a marble and replace it. Find P(yellow, t
    6·1 answer
  • How do you write 8/5 as a percentage
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!