2 years ago

The two triangles shown are congruent. Find the value of x

Mathematics

1 answer:

shusha [124]2 years ago

4 0

Answer:

x = 11

Step-by-step explanation:

right triangle ABC

using Pythagoras' identity

BC² = 7² + 24² = 49 + 576 = 625 ( take square root of both sides )

BC = $\sqrt{625}$ = 25

Since the triangles are congruent then corresponding sides are congruent.

ST = BC , that is

3x - 8 = 25 ( add 8 to both sides )

3x = 33 ( divide both sides by 3 )

x = 11

You might be interested in

Solve using the quadratic formula.

worty [1.4K]

The quadratic formula is:
$x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac} }{2a}$
so...
$x = \frac{ - ( - 1) + - \sqrt{( - 1)^{2} - 4(4)( - 7) } }{2(4)}$
so simplified from calculator work

$x = \frac{1 + \sqrt{113} }{8} \: and \: \frac{1 - \sqrt{113} }{8}$

5 0

2 years ago

The volume of a prism is 45yd3

coldgirl [10]

45yd^3 but since yd is yards the they are not actually part of the equation so it is 45^3=(45•45•45)=(2025•45)=91125 is the answer

3 0

2 years ago

Is X^2-Y^2=0 a quadratic equation ?

slega [8]

I dont think so but to justify quads means four and the is no sign of x to the fourth power or y to the fourth power ect.

8 0

2 years ago