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
A football team took possession of the ball on the 50 yard line. They lost 5 yards on the first down, and lost another 6 yards o
trapecia [35]

Answer: The answer should be 39 yard line

Step-by-step explanation: If you start at the 50 and remove 11 yards you will have 39 yards left

5 0
3 years ago
Matching inequalities with statements
Xelga [282]

Answer:

closed, or shaded, circle is used to represent the inequalities greater than or equal to (≥) or less than or equal to (≤) . The point is part of the solution. An open circle is used for greater than (>) or less than (<). The point is not part of the solution.

6 0
3 years ago
If 35% people voted for Gary how many people would that be
Mekhanik [1.2K]

35% = .35.

First, you make 35% into a fraction 35/100. Then make it into simplified form.

35 divided by 5 and 100 divided by 5 35/5 = 7 and 100/5 =20.

So,

35%=.35=35/100=7/20

7/20

is your answer


8 0
3 years ago
Which is bigger four liters or one gallon
rosijanka [135]
4 quarts=1 gallon
1 liter is slightly bigger than 1 quart

so
1L>1qt
times  4 both sides
4L>4qt=1gal
4L>1gal

4 liters is bigger
3 0
3 years ago
You build and sell toy cars for $36 each. So far, you have built 25 toy cars. How many more toy cars will you have to build and
vovikov84 [41]
You need to build 20 more toy cars
8 0
3 years ago
Read 2 more answers
Other questions:
  • If adam orders a book from store x how much will he owe the nearest cent the tax rate only aplies to the cost of the book
    14·1 answer
  • Is this better? Its all.. There is no book to read it over so its confusing
    5·1 answer
  • Fill in the blank. tripling the radius of a sphere increases the surface area by a factor of ___________.
    7·1 answer
  • Find the length of the third side to the nearest 10th
    10·2 answers
  • Can I get a answer for it please
    7·1 answer
  • 4. The school's soccer team is made up of 3 grades. Grade 10s make up 17% of the team
    5·1 answer
  • A crack in the Earth's crust
    8·2 answers
  • -6(10t – 5.1)<br> Please help me!!!
    8·1 answer
  • Plz help will give brainlest
    9·1 answer
  • Solve the following system of equations by graphing. Then determine whether the system is consistent or inconsistent and whether
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!