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
Nana76 [90]
3 years ago
12

Find the value of x in the isosceles triangle shown below

Mathematics
2 answers:
dybincka [34]3 years ago
8 0

Answer:

The answer is 12

Hope it helps

yulyashka [42]3 years ago
7 0

Answer:

x = 12

Step-by-step explanation:

Since the 2 legs and base angles are congruent the triangle is isosceles.

The line from the vertex to the base is a perpendicular bisector dividing the triangle into  2 right triangles.

Using Pythagoras' identity in either of the 2 right triangles with legs 3 and \frac{1}{2} x , hypotenuse \sqrt{45} , then

(\frac{1}{2} x )² + 3² = (\sqrt{45} )²

\frac{1}{4} x² + 9 = 45 ( subtract 9 from both sides ²)

\frac{1}{4} x² = 36 ( multiply both sides by 4 to clear the fraction )

x² = 144 ( take the square root of both sides )

x = \sqrt{144} = 12

You might be interested in
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Bas_tet [7]

Answer:

∠DEC and ∠IHJ

Step-by-step explanation:

Alternate exterior angles are angles that lie on the outside of the parallel lines, but different sides.

∠DEC is on the upper left.

∠IHJ is on the lower right.

Therefore ∠DEC and ∠IHJ are alternate exterior angles.

8 0
3 years ago
The formula for the volume of a tetrahedron is given as v=sh. Rewrite the
IrinaK [193]

Answer:

h = 6 units

Step-by-step explanation:

The formula for the volume of a tetrahedron is given as :

V = sh

Where

s is area of base and h is height

Put s = 8 and V = 48 to find h as follows :

h=\dfrac{V}{s}\\\\=\dfrac{48}{8}\\\\h=6

So, the height of the tetrahedron is 6 units.

6 0
3 years ago
ANSWER THIS AND GET A BRAINIEST . thank youu - 10 points
crimeas [40]

Answer:

18; 1h30m; 15

Step-by-step explanation:

<u>Part A:</u>

James traveled 45km, you can tell because that is where he stops.

It took him from 2pm to 4:30pm.

You can find this info on the x axis.

That means 45km took him 2.5 hours.

45/2.5=18

James travels 18km per hour.

<u>Part B:</u>

The stop is indicated by the flat part in the graph. This is because when he stops, the distance he is away from home is not changing.

His stop is from 4:30pm to 5pm.

This means that his stop is 1 hour and 30 minutes.

<u>Part C:</u>

James had to travel 45km to get back home. (45-0)

It took him from 5pm to 8pm.

This means that on his journey back, 45km took him 3 hours.

45/3=15

James travels 15km per hour.

3 0
3 years ago
What is the solution of x+8/5x-1&gt;0?
DerKrebs [107]

Answer:

x<-8 or x>1/5

Step-by-step explanation:

\frac{x+8}{5x-1} >0

First we replace > symbol by = sign

\frac{x+8}{5x-1} =0

To solve for x we multiply 5x-1 on both sides

x+8 =0

x=-8

5x-1=0 solve for x

x= 1/5

WE got two values x=-8  and x= 1/5

Now we make a number line and check with each interval

x<-8,  -8<x<1/5,  x>1/5

Pick x= -9 and check with the given inequality

\frac{-9+8}{5(-9)-1} >0

1/46 >0 is true, so x<-8 satisfies our inequality

Pick x= 0 and check with the given inequality

\frac{0+8}{5(0)-1} >0

-8 >0 is false , -8<x<1/5 does not satifies our inequality

Pick x= 2 and check with the given inequality

\frac{2+8}{5(2)-1} >0

10/9>0 is true , x>1/5  satisfies our inequality

3 0
3 years ago
Read 2 more answers
Find the sum of two consecutive numbers of the smallest one is n − 2.
Zina [86]

Answer:

2n - 3

Step-by-step explanation:

(n-2) + (n-1) = 2n - 3

6 0
3 years ago
Other questions:
  • Consider the following function f(x)=2x/3x^2-3 what is the domain of the function and what is the range of the function
    13·2 answers
  • 4y -7 = 5 -2y +2y +2y add 2y to each side 6y -7 = 5 +7 +7 add 7 to each side y =
    14·2 answers
  • What is −58÷910 ?<br><br> −2536<br><br> −916<br><br> −3580<br><br> −136
    15·2 answers
  • Please help me solve x
    5·1 answer
  • mark the points A(5,5) and B(7,2) draw a circle that has point a as the center and passes through point B measure and label the
    13·2 answers
  • Help plzz need the answer and that explanation plz don't send a file I need help with question 21!!
    5·1 answer
  • PLEASE HELP ME WITH ALL PLEASEEEE ASSASAAAPPPPPPPPPPPPPPPPPPP
    14·1 answer
  • A tree is 64 feet away from a mirror. At the same time, a girl whose eyes are 5 feet
    8·2 answers
  • From 1997 - 2001 the number n (in millions) of black-and-white TV S sold in the U.S. Can be modeled by n = 26.8 * (0.85) ^ t whe
    7·1 answer
  • Someone help me ASAP
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!