3 years ago

6. Find the value of x in the triangle below.

Mathematics

1 answer:

Kobotan [32]3 years ago

4 0

Answer:

The value of x is 21.

Step-by-step explanation:

Since this is a right angle triangle, you can apply Pythagoras theorem, side² + side² = hypo² :

(x + 3)² + 10² = (x + 5)²

x² + 6x + 9 + 100 = x² + 10x + 25

x² + 6x + 109 - x² - 10x - 25 = 0

-4x + 84 = 0

-4x = -84

4x = 84

x = 84 ÷ 4

x = 21 units

You might be interested in

I can't solve this equation pleas help!x^2+2x+8=0

tiny-mole [99]

$x^2+2x+8=0\\
x^2+2x+1+7=0\\
(x+1)^2=-7\\
x+1=-\sqrt{-7} \vee x+1=\sqrt{-7}\\
x=-1-\sqrt7 i \vee x=-1+\sqrt7 i$

8 0

3 years ago

If the area of a triangular kite is 60 square feet and its base is 10 feet, find the height of the kite.

11Alexandr11 [23.1K]

The area of the triangular kite would be 12 feet

3 0

3 years ago

HELP ASAP!! WILL GIVE BRAINLIEST!!!! FULL ANSWERS ONLY!!!!!!

Dimas [21]

Answer:

Step-by-step explanation:

x = 2n

2n + 2n + 2 + 2n + 4 + 2n + 6 + 2n + 8 = 80

10n = 60

n = 6

x = 12

12 + 14 + 16 + 18 + 20 = 80

6 0

3 years ago

ad-work [718]

Answer:

Step-by-step explanation:

2-2x-3y5

2-2(2)-3(-4)5

-2+60

6 0

1 year ago

[ Please help ] The graph below plots a function f(x).

Luden [163]

25 (units of distance/units of time)

The first two seconds are determined between points (0,50) and (2,100). Given these points, finding the slope between them gives you the average rate of change:

$\frac{Δy}{Δx} = \frac{(100 - 50)}{(2 - 0)} = \frac{50}{2} = 25$

4 0

4 years ago