Answer:
<em>The base is 24 cm long.</em>
Step-by-step explanation:
<u>Equations</u>
Let's call
b= base of the triangle
h=height of the triangle
The base is 9 cm longer than the height, thus:
b = h + 9
The area of the triangle is:


And its value is 180:

Multiplying by 2:

Operating:

Factoring:

The only valid positive solution is:
h = 15 cm
And b = h + 9 = 24
b = 24 cm
The base is 24 cm long.
The solution is negative.
Answer:
See below
Step-by-step explanation:
<u>Angle 4 is exterior angle of the triangle and as per definition:</u>
<u>Angle 4 is supplementary with angle 3, they sum up to straight angle of 180°</u>
Answer:
y=1/2x-5
Step-by-step explanation:
We have slope so we just need to find the y intercept.
slope intercept formula is
y=mx+b
(m) is slope
(b) is y int
y=1/2x+b
now apply our given x and y values (4 & -3)
-3=1/2(4)+b
simplify
-3=2+b
subtract 2 from each side
-5=b
put that into our equation
y=1/2x-5
Answer:
The answer is 16
Step-by-step explanation:
2 + 2 is 4 because it's in brackets
8 ÷ 2 is 4
Since they are together this means you have to multiply them.
So 4 × 4 is 16.