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
Solnce55 [7]
2 years ago
5

My answer is 8, but I'm not completely sure, if I'm wrong could someone please explain how to find the length.

Mathematics
1 answer:
Verdich [7]2 years ago
8 0

By knowing that S is bisected by the line shown, we will conclude that PD = 8

So here we know that PC = 8, we also can see that:

  • PCS is a right triangle
  • PDS is a right triangle.

Notice that because the blue line bisects S, the angle at "S" on both of these right triangles is the same, and because both of these are right triangles, both must have a 90° angle.

Finally, if two angles are equal, then the 3 angles must be equal between these two triangles.

And notice that both of these triangles share one side, then:

Triangles we know for sure that triangles PCS and PDS have the same angles and one equal side.

This implies that the triangles are congruent, thus, the <u>measures of the corresponding sides must be the same.</u>

<u />

Then the length of the shorter side of both triangles must be the same, in triangle PCS the short leg measures 8 units, then in triangle PDS the short leg, PD, also must measure 8 units.

So you are correct.

If you want to learn more about congruent triangles, you can read:

brainly.com/question/12077512

You might be interested in
In the figure, a pair of parallel lines Is cut by a transversal. What kind of angle are angles A and C?
Sonbull [250]

Answer: Angles A and C are vertical angles.

Step-by-step explanation:

5 0
3 years ago
What is the solution to the equation? 7x + 6 = -22
trapecia [35]

C.) x = -4 is the correct answer

Step-by-step explanation:

In order to solve the equation we have to isolate x on one side of equation

Given

7x + 6 = -22

Subtracting 6 from both sides

7x+6-6=-22-6\\7x=-28

Dividing both sides by 7

\frac{7x}{7}=\frac{-28}{7}\\x=-4

Hence,

C.) x = -4 is the correct answer

Keywords: Linear equation

Learn more about linear equation at:

  • brainly.com/question/5527192
  • brainly.com/question/5528742

#LearnwithBrainly

7 0
3 years ago
PLS HELPP!!
Sphinxa [80]

Answer:

i dont know

Step-by-step explanation:

srry wish i could help you

5 0
2 years ago
Read 2 more answers
Help if your smart plzzzzzzz <br> ( will give 35 pts and brainliest)
Temka [501]

Answer:

a) alternate interior angles theorem

b) OXP ≅ XOL

c) XO ≅ OX

d) reflexive property  (i'm not sure about this one)

e) ΔXOP ≅ ΔOXL

f) cpctc

make sure to double check the fourth one

4 0
2 years ago
What is the slope of the line on the graph below
Nuetrik [128]
B) 2/1
find a point, you go up 2 and then over 1!
hope this helps, feel free to mark brainliest!!
3 0
3 years ago
Read 2 more answers
Other questions:
  • Will a set of data always have a mode? Explain your answer.​
    10·2 answers
  • How many square units are in an office that is 13 units by 9 units?
    8·2 answers
  • Which statement is true about the mean and median of the numbers of red cubes in the bags?
    7·1 answer
  • A bowl contains candies of the same size in three flavors: orange, strawberry, and pineapple. If the probability of randomly pul
    12·2 answers
  • Rewrite the fraction as a decimal. round to 4 decimal places if necessary ​31/9
    15·1 answer
  • If f(x) is a function and f(1) = 5, then which of the following could not be true?
    8·2 answers
  • An agriculture researcher wants to test the effect of nine soil additives by adding four at a time to different rows of the
    14·1 answer
  • A train goes at a constant speed. If it covers 150 miles in 2 1/2 hours,
    6·1 answer
  • Divide. Reduce the answer to lowest terms. 3/4 ÷ 1/3
    15·1 answer
  • Please help me find all the answers.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!