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
Phoenix [80]
3 years ago
9

Calculate the missing measure of the line?

Mathematics
2 answers:
labwork [276]3 years ago
7 0

Your answer would be 18.1 cm.

To find this length you have to notice that AC is the hypotenuse of the right-angled triangle ACD. This means that we can find it by using Pythagoras' Theorem (a² + b² = c²), however we need to find the length CD.

We can also find the length CD using Pythagoras' Theorem, because the length CD is the same as the base of the triangle at the top if the shape was split into a rectangle and a triangle.

The height of this triangle would be 11 - 4 = 7 cm, which means we can find CD by doing:

16² - 7² = 256 - 49 = 207 = CD²

Now we can find AC by doing √(CD² + 11²) = √(207 + 121) = √368 = 18.1

I hope this helps! Let me know if you have any questions :)

Ganezh [65]3 years ago
3 0

Answer:

18.1 cm

Step-by-step explanation:

Consider a segment parallel to CD and passing through B.

This segment will form a right-angle triangle with A

It's length would be equal to the length of CD (the missing length)

Height of that triangle:

11 - 4 = 7

CD² = 16² - 7²

CD² = 207

CD = sqrt(207)

AC² = AD² + CD²

AC² = 11² + 207

AC² = 328

AC = 2sqrt(82)

Which is roughly 18.1 cm

You might be interested in
Evaluate -2 with an exponent of 3
zheka24 [161]
When raised to the third power, it is the number times itself three times.

-2(-2) = 4

4(-2) = -8
6 0
3 years ago
Read 2 more answers
The sum of the angle measures of a polygon with n sides is 18001800. find n.
Contact [7]
Using
(n-2)180 = 18001800
(n-2) = 18001800÷180
n-2 = 100010
n = 100010+2
n= 100012 sides
5 0
3 years ago
Line AB contains points A(-6,1) and B(1,4).
Free_Kalibri [48]

To solve this problem you must apply the proccedure shown below:

1- You have that the equation of the line is:

y=mx+b

Where m is the slope andb is the y-intercept.

2- Based on the information given in the problem, the lines AB andCD are parallel, which means that both have the same slope. Therefore, you can calculate the slope of AB:

m=\frac{y2-y1}{x2-x1}

m=\frac{4-1}{1-(-6)}=\frac{3}{7}

3- Use the coordinates of the point D(7,2) to calculate the y-intercept:

2=\frac{3}{7}(7)+b

4. Solve for b:

b=2-3=-1

5. The equation of the line CD is:

y=\frac{3}{7}x-1

The answer is: y=\frac{3}{7}x-1

6 0
3 years ago
Danika has one apple that weighs 1/4 lb and another apple weighs 3/16 lb. Find the DIFFERENCE in their weights.
Mama L [17]

Answer: A.

Step-by-step explanation:

Danika has 1/4 lb apple and a 3/16 apple. We have to find a common denominator to be able to subtract them. We can do this by finding out 4 times how much equals 16. Which is 4. So you multiply both of the numbers by 4, (1x4 = 4 , 4x4 = 16) being 4/16. Now you just have to subtract the top numbers "4-3 = 1" 1/16.

4 0
3 years ago
Read 2 more answers
4.82 <br> write as a fraction or mixed number in simplest form
Dima020 [189]

I'm pretty sure 4.82 as a simplified fraction is 241/50.

6 0
3 years ago
Other questions:
  • Since water is a polar substance it is a poor solvent for what type of solutes
    8·1 answer
  • Find the area of this irregular polygon.
    11·2 answers
  • Please help!!!!!!!!!!
    7·2 answers
  • Which would not be a step in solving 3x + 1 + 2x = 2 + 4x?
    12·1 answer
  • Please help I need to find the area and circumference of halve the pizza.
    5·1 answer
  • Solve &amp; Share
    5·1 answer
  • Find the selling price of a $20 item after a 20% markup.
    15·1 answer
  • Together Jason and Judy have read 24 mystery novels. Judy has read less than three times as many as Jason. How many mystery nove
    11·1 answer
  • If a car is traveling at a rate of 75 miles per hour, how far will the car travel in 1 hour??
    7·1 answer
  • Used to find the midpoint between two points (x1,y1) and (x2,y2)<br><br> what is the formula?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!