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.
Answer:
4 1/2
Step-by-step explanation:
Look at this expression as given in the original problem; the numbers, properly typewritten, are -5 1/2, - 4 1/4, + 6 3/4.
We want to combine these three numbers into one.
To do this, we need the LCD; it is 4.
Thus, -5 1/2 is rewritten as -5 2/4.
Then we have
-5 2/4 - 4 1/4 + 6 3/4 = -5 -4 + 6 + 2/4 + 1/4 + 3/4.
This simplifies to: +3 + 6/4, or 3 + 1 + 2/4, or
4 1/2
Answer:
10 =x
Step-by-step explanation:
-90 = -100 + x
Add 100 to each side to isolate x
-90+100 = -100+100 + x
10 =x
Answer: 12
Step-by-step explanation: 24 - 12 times 1
0 = 0
The input is an identity: it is true for all values
