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
natka813 [3]
3 years ago
9

Ys is the perpendicular bisector of xz. What is the length of Xs if xz is 18 inches long?

Mathematics
1 answer:
exis [7]3 years ago
8 0

Answer:

XS is 9 inches long.

Step-by-step explanation:

Given that

YS is the perpendicular bisector of XZ.

Length of XZ = 18 inches

To find:

Length of XS = ?

Solution:

First of all, let us learn about the perpendicular bisector.

Perpendicular bisector of a line <em>AB</em> is a line <em>PQ</em>, which divides the line AB in two equal parts and is at an angle of 90^\circ with the line AB.

If B is on the line PQ, then BP = BQ = \frac{PQ}{2} and

\angle ABP = \angle ABQ = 90^\circ

Applying the above property in our given question.

Kindly refer to the attached image for the given dimensions.

S is on the line XZ.

XS = SZ = \frac{XY}{2} = \dfrac{18}{2} \\\Rightarrow \bold{XS = 9\ inches}

So, the answer is XS is 9 inches long.

You might be interested in
Rename 3/8 and 7/10 of fractions with common denominators
Ilia_Sergeevich [38]
15/40 (3/8) 28/40 (7/10)
6 0
3 years ago
Read 2 more answers
Factorize:<br>3a^2 + 10a + 3​
sergey [27]

Answer: (3a + 1) (a + 3)

Step-by-step explanation:

<u>Concept:</u>

Here, we need to know the idea of factorization.

It is like "splitting" an expression into a multiplication of simpler expressions. Factoring is also the opposite of Expanding.

<u>Solve:</u>

Given = 3a² + 10a + 3

<em>STEP ONE: separate 3a² into two terms</em>

3a

a

<em>STEP TWO: separate 3 into two terms</em>

3

1

<em>STEP THREE: match the four terms in ways that when doing cross-multiplication, the result will give us 10a.</em>

3a     1

a       3

When cross multiply, 3a × 3 + 1 × a = 10a

<em>STEP FOUR: combine the expression horizontally to get the final factorized expression.</em>

3a  ⇒   1

a   ⇒    3

(3a + 1) (a + 3)

Hope this helps!! :)

Please let me know if you have any questions

7 0
3 years ago
There are x candies in a box. 8 of the candies are caramel-flavored and rest of them are strawberry-flavored. If the probability
sukhopar [10]
There is 5 candies in the boxes
3 0
3 years ago
3 times a number is 54 less than the square of that number
Natasha2012 [34]

Answer:

-6

Step-by-step explanation:

3n = n² - 54

n² - 3n - 54 = 0

n² - 9n + 6n - 54 = 0

n(n - 9) + 6(n - 9) = 0

(n - 9)(n + 6) = 0

n = 9 , -6

hope this helps

8 0
3 years ago
Read 2 more answers
Which of these is an example of continuous random variable?
Nana76 [90]

Answer:

B. weight of a bag of apples

Step-by-step explanation:

A continuous random variable is a variable that is measured not counted. It can be any number between integers in decimal form.

So from the options given above, only the weight of bag of apples is a continuous variable as it will be measured.

While the others cannot be expressed in the form of decimals.

So the correct answer is:

B. weight of a bag of apples ..

4 0
3 years ago
Other questions:
  • PLEASE SOLVE FOR ME!!!! I am stuck on question...<br><br> 36/5x - 10 &lt; 5
    8·1 answer
  • Need help on question 11, A,B,C?
    14·1 answer
  • How do you write a rule for a linear function?
    15·1 answer
  • When angles complementary,the sum of their mesures is 90 degrees. Two complementary angles have measures of 2x-10 degrees and 3x
    8·1 answer
  • Please help!!! :)))
    5·1 answer
  • Write an equation of the line containing the point (6,-4) and perpendicular to.the line y=-2x-3
    12·1 answer
  • An index that is a standardized measure used in observing infants over time is approximately normal with a mean of 90 and a stan
    11·1 answer
  • David worked seven hours and earned $117.25. If he earned $670, how many hours did he work?
    14·2 answers
  • HELPPPPP pleaseeeeeee due in 20 minutes please hurryyy​
    6·1 answer
  • Re write the statement 19 +7 / 2 x 6 + 1 by including two pairs of brackets to make the total value equal to 2
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!