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
SIZIF [17.4K]
3 years ago
7

What is the value of x, given that PQ parallel to BC

Mathematics
2 answers:
scoundrel [369]3 years ago
8 0

Answer:

since PQ ||BC,

Angle A is common for both triangles angle P = angle B

triangles ABC, APQ are similar,then their corresponding sides are in proportion

AP/PB =AQ/QC

4/8=x/16

x=8

coldgirl [10]3 years ago
8 0

Do you know basic proportionality theorem ? You can solve the problem easily by this.

In short: BPT is if a line is parallel to a side of the triangle which intersects the other sides imto two distinct points, then the line divides those sides in proportion.

In your problem, it's given that the mutual lines are parallel (PQ || BC), so it makes it divide |AP| with |AB| and |AQ| with |AC| proportionally.

|AP| / |AB| = |AQ| / |QC|

4/12 = x/16+x

4(16+x) = 12x

x=8

Hope it helps!

#MissionExam001

You might be interested in
Someone help please?
Paladinen [302]

Answer:21.9FM

Step-by-step explanation:

8 0
2 years ago
Find the value of x. 4x+14=32
Sunny_sXe [5.5K]

Answer: x = 4.5

Step-by-step explanation:

4x + 14 = 32

Subtract 14 from each side

4x = 18

Divide by 4 on each side

x = 4.5

4 0
3 years ago
Read 2 more answers
5.8×10^−10 ​? <br><br> Solve please! (Scientific Notation)
worty [1.4K]

5.8x10^-10 is already in sciencific notation. To convert it to normal notation you move the decimal either the right OR left the number of places the exponet says.  This case it is 10, but the negative determines the direction which is left (negative is left and positive is right.)  Thus your answer is 0.00000000058

6 0
3 years ago
Read 2 more answers
I NEED HELP UNDERSTANDING ASAP BEFORE MARCH 26 RIGHT ANSWERS = BRAINLY
kogti [31]

Answer:

The first option

Step-by-step explanation:

Since all sides are obtuse, its an obtuse triangle.

3 0
3 years ago
Pt 3 1-7 pleaseeee helpp
lilavasa [31]

Answer:

-2s is ur answer

hope it helps u

4 0
3 years ago
Read 2 more answers
Other questions:
  • M-3&gt;4? With explanation
    11·2 answers
  • Which of the following demonstrates the Distributive Property?
    6·1 answer
  • (x³-3x²+2x+1/x²-4x+4)dx(dx/Dy)+(x²+4y-y²)/(²√4y+y²) solve for dx/dy<br><br>​
    11·1 answer
  • Factor completely <img src="https://tex.z-dn.net/?f=3x%5E3-3x%5E2-18x" id="TexFormula1" title="3x^3-3x^2-18x" alt="3x^3-3x^2-18x
    11·1 answer
  • Which of the following is a correct equation for the line passing through the point (-2,1) and having slope m= 1/2?
    15·1 answer
  • What is the simplified expression of 5(3m+7) - 4?
    8·2 answers
  • Write an equation for the following problem and then solve the equation.
    10·2 answers
  • PLZ HELP FAST PLZZZXXXXXX
    9·1 answer
  • 87+25<br><img src="https://tex.z-dn.net/?f=12%20%2B%2010%20%20" id="TexFormula1" title="12 + 10 " alt="12 + 10 " align="absmid
    10·1 answer
  • Will brought 5 boxes of candy at the theater if each box of candy cost $ 2.30 and he paid with a twenty dollar bill how much cha
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!