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
Alina [70]
3 years ago
7

What is the value of x, given that PQ||BC?

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
3 0

Answer:

Option D is correct.

Value of x is, 10 units.

Step-by-step explanation:

Triangle Proportionality theorem states that if a line parallel to one side of a triangle intersects the other two sides of a triangle, then the line divide these two sides proportionality.

Given that: \overline{PQ} || \overline{BC}

From the given figure, we have;

AP = 3 units , PB = 6 units , QC = 20 units and AQ = x units.

then, by triangle proportionality theorem;

\frac{AP}{PB} =\frac{AQ}{QC}

Substitute the given values, to find the value of x;

\frac{3}{6} =\frac{x}{20}

By cross multiply we have;

60 = 6x

Divide both sides by 6 we get;

10 = x

Therefore, the value of x is, 10 units

You might be interested in
The function g is defined as follows for the domain given. g(x) = 2 - 2x , domain = \{- 1, 0, 1, 2\} Write the range of g using
Musya8 [376]

Explanation:

The function is given below as

g(x)=2-2x

The set of domains is given below as

\lbrace-1,0,1,2\rbrace

Step 1:

Put x=-1

\begin{gathered} g(x)=2-2x \\ g(-1)=2-2(-1) \\ g(-1)=2+2 \\ g(-1)=4 \end{gathered}

Step 2:

Put x=0

\begin{gathered} g(x)=2-2x \\ g(0)=2-2(0) \\ g(0)=2 \end{gathered}

Step 3:

Put x=1

\begin{gathered} g(x)=2-2x \\ g(1)=2-2(1) \\ g(1)=2-2 \\ g(1)=0 \end{gathered}

Step 4:

Put x=2

\begin{gathered} g(x)=2-2x \\ g(2)=2-2(2) \\ g(2)=2-4 \\ g(2)=-2 \end{gathered}

Hence,

The range of g(x) using set notation will be

\Rightarrow\lbrace4,2,0,-2\rbrace

Hence,

The graph of g(x) is given below as

8 0
1 year ago
Write an equation in slope intercept form of the line through point p(8,6) with slope -2
Anestetic [448]
Y = -2x + 6


I think this is it
7 0
3 years ago
A recipe calls for the following spices: 18 teaspoon of turmeric, 18 teaspoon of ginger, and 14 teaspoon of cumin. What is the t
Sphinxa [80]

Answer:

50 total

Step-by-step explanation:

when it's asking for a total you add the numbers together, and whatever number you get is your answer :)

sorry if it's wronggg :( !!

7 0
3 years ago
ROOTS AND CUBES<br> Can someone please help me answer all 4 following?
Alex Ar [27]

NOTES:

  • squared (²) means multiply that number by itself 2 times
  • cubed (³) means multiply that number by itself 3 times
  • square root (√) means 2 numbers multiplied by itself on the inside simplify to 1 of that number on the outside of the radical
  • cubed root (∛) means 3 numbers multiplied by itself on the inside simplify to 1 of that number on the outside of the radical

Answer: (C) 41

<u>Step-by-step explanation:</u>

\quad 6^2+\sqrt[3]{125} \\= 6 \cdot 6+\sqrt[3]{5\cdot 5 \cdot 5}\\= 36 + 5\\= 41

***************************************************************************************

Answer: (C) 10

<u>Step-by-step explanation:</u>

   \bigg(\dfrac{7}{3}\times \sqrt[3]{27}-2\bigg)\times \dfrac{1}{5} + \sqrt{81}

=\bigg(\dfrac{7}{3}\times \sqrt[3]{3\cdot 3 \cdot 3}-2\bigg)\times \dfrac{1}{5} + \sqrt{9\cdot 9}

=\bigg(\dfrac{7}{3}\times3-2\bigg)\times \dfrac{1}{5}+9

=(7 - 2)\times \dfrac{1}{5}+9

=5 \times \dfrac{1}{5}+ 9

= 1 + 9

= 10

***************************************************************************************

8² = 8 · 8 = 64                                     11² = 11 · 11 = 121

5³ = 5 · 5 · 5 = 125                               3³ = 3 · 3 · 3 = 27

\sqrt{1600}=\sqrt{40\cdot 40}=40                       \sqrt[3]{64}=\sqrt[3]{4\cdot 4\cdot 4}=4

\sqrt{144}=\sqrt{12\cdot 12}=12                            \sqrt[3]{8000}=\sqrt[3]{20\cdot 20\cdot 20}=20

3 0
2 years ago
Hello, I just want to say thank you so much to brainly! :)
Volgvan

Answer:

I totally agree

Step-by-step explanation:

It helps a lot.

4 0
3 years ago
Other questions:
  • Add integer help just explain
    11·1 answer
  • 60+42.95x=25+49.95x please help
    14·2 answers
  • if I have 10 jeans in one splits and two of them have holes in them and then I get 25 more genes how many do I have in all? This
    6·1 answer
  • Please answer this question in the picture!
    12·1 answer
  • Mr. Case is placing boxes along one of the walls in his attic. If the wall is 11 1⁄3 feet long and each box is 2 1⁄2 feet long,
    15·1 answer
  • Consider the perimeter of a rectangle being 68 cm and the width being 4 less than the length. Write a linear relation in terms o
    8·1 answer
  • Can someone please solve this it's very important thank you
    6·1 answer
  • A triangle has sides that measure 5 units, 7 units, and 8 units. Is this a right triangle
    12·1 answer
  • 2. Mang Danny bought a cellphone worth Php 7500 and he's selling it for Php 9000. How much is the markup?
    10·1 answer
  • Fish tank has sprung a leak at the bases of the tank 5% of the water is lost every minute How much water is lost from the tank a
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!