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
guajiro [1.7K]
2 years ago
7

Find the value of x in the triangle below

Mathematics
2 answers:
GREYUIT [131]2 years ago
6 0

Answer:

  • √80 (Option A)

⠀

Step-by-step explanation:

⠀

  • This is Right Angled Triangle.

⠀

We'll solve this using the Pythagorean Theorem.

Let,

  • x be AC, where AC is the Hypotenuse.

  • 4 be AB, where AB is the Perpendicular.

  • 8 be BC, where BC is the Base

⠀

We know that,

{ \longrightarrow \pmb{ \qquad  (AC) {}^{2} =  (AB) {}^{2} +( BC) {}^{2}  }}

{ \longrightarrow \sf{ \qquad  (x) {}^{2} =  (4) {}^{2} +( 8) {}^{2}  }}

{ \longrightarrow \sf{ \qquad  (x) {}^{2} =  16 +64  }}

{ \longrightarrow \sf{ \qquad  (x) {}^{2} =  80  }}

{ \longrightarrow  \it\pmb{ \qquad  x {} =   \sqrt{80}   }}

⠀

Therefore,

  • The value of x is √80

ExtremeBDS [4]2 years ago
3 0

The figure is a right angled triangle , where the value <u>4</u><u> </u> is perpendicular , <u>8</u><u> </u>is base and <u>x </u>is hypotenuse.

So, By Pythagoras theorem

<h3 /><h3 />

x {}^{2}  = 4 {}^{2}  + 8 {}^{2}

x =  \sqrt{16 + 64}

x =  \sqrt{80}

You might be interested in
Simplify the expression. 35(12)(5)
Furkat [3]

Answer:

the answer is 2100

Step-by-step explanation:

7 0
3 years ago
In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= root 2 cm.
Nata [24]

Given CD is an altitude such that AD=BC , AB=3 cm and CD= √2 cm.

Let AD=x, Since given AB=3

                                     AD+DB=3

                                       x+DB = 3

                                        DB = 3-x

Since ΔBCD is rght angle triangle, let's apply Pythagoras theorem

BC^{2} = DB^{2} +CD^{2}

BC^{2} = (3-x)^{2} +(\sqrt{2} )^{2}

BC^{2} =(3-x)^{2} +2

Since given AD=BC,let us plugin BC=x in above step.

x^{2} =(3-x)^{2} +2

x^{2} =9-6x+x^{2} +2

6x=11

x=\frac{11}{6}

Now we know AD=x=\frac{11}{6} and given CD=√2.

Let us apply Pythagoras theorem for ΔACD

AC^{2} =AD^{2} +DC^{2}

AC^{2} = (\frac{11}{6} )^{2} +(\sqrt{2} )^{2}

AC^{2} =\frac{193}{36}

AC=\sqrt{\frac{193}{36} } = 2.315cm

3 0
3 years ago
Solve the inequality for x<br><br> 20x &gt; 8(4x - 5) - 20
UNO [17]
Hi there! I can help you with this! First, let's combine like terms and do everything for the right side of the problem. When you do the distributive property, you get 32x - 40. Combine like terms and you'll get 32x - 60. Now, the inequality is 20x = 32x - 60. First, let's subtract 32x from both sides to get the integer by itself. When you do that, you get -12x = -60. Now, divide each side by -12 to isolate the "x". -60/-12 is 5. Let's plug it in. 20 * 5 is 100. 32 * 5 is 160. 160 - 60 is 100. 100 = 100. There. x = 5.
4 0
3 years ago
Read 2 more answers
a retailer buys a radio from the wholesaler for $75.he then marks up the price by 1/3 and sells it at a discount of 20%.what was
soldier1979 [14.2K]
He makes it up by 1/3=.333%=$75*1.333=$99.98
he then discounts it by 20%=1/5=99.98/5=$19.99
If the original profit is $99.98-$75=$24.98
and then discounted by $19.99
it would be $24.98-$19.99
=
$4.99
3 0
3 years ago
Read 2 more answers
Which two operations are needed to write the expression that represents “five less than the quotient of a number and three”?
harina [27]
The answer would be multiplication and subtraction
8 0
3 years ago
Other questions:
  • Tammy's dad worked 618 hours in half a year. Louie's mom worked 487 hours in half a year​
    7·1 answer
  • Find the outlier in the set of data.(
    13·1 answer
  • How many permutations exist of the letters a, b, c, d taken three at a time? <br> 24 <br> 12<br> 4
    14·2 answers
  • H(x) = 3x - 4<br> What is h(6)?<br> ETĀ. 14<br> e c. 22<br> SUBMIT
    15·2 answers
  • Ethan has 3/4 of a box of cereal. He gives 1/8 of the box to his little brother and Ethan eats 1/4 of the box, himself. What fra
    11·1 answer
  • if it is friday then letica family will have pizza for dinner. if letica family has pizza for dinner, letica will song at the di
    8·1 answer
  • Z varies jointly with x, and y, and z=7 when x= 2, y= 2<br> pleasee I need an answer now!!
    15·2 answers
  • What is 100x100 because im having real trouble
    15·2 answers
  • DOES ANYONE KNOW PLEASE HELP ME I WILL MARK BRAINLIEST &lt;3
    11·1 answer
  • For a work banquet, Jack can spend no more than $200 on dessert. Fruit pies cost $9 each and cakes cost $20 each. Write the line
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!