Answer:
<h2>For the first triangle, <u>x equals 22cm.</u></h2>
Here's how:-
x is the altitude or height of the triangle. To find it, we can use the Pythagoras theorem:-
The base is 120cm and the hypotenuse is 122cm
Putting this in the equation, we get:-
= 484
altitude = 
<h3>altitude = 22cm</h3><h2><u>So, x = 22cm</u></h2>
3x + 9 + 3x =15
6x + 9 = 15
- 9 = -9
6x = 6
/6 /6
X =1
Answer:
He received 10 dimes and 15 quarters.
Step-by-step explanation:
Dimes = $0.10
Quarters = $0.25
Variable x = dimes
Variable y = quarters
Create a pair of linear equations:
0.10x + 0.25y = 4.75
x + y = 25
Isolate any variable, using an equation of your choice:
x + y = 25
x = 25 - y
Plug in this new value of x into the other equation:
0.10(25 - y) + 0.25y = 4.75
Use the distributive property:
2.5 - 0.10y + 0.25y = 4.75
Combine like terms:
2.5 + 0.15y = 4.75
Isolate variable y:
0.15y = 2.25
y = 15
Plug in the value of y into any equation:
x + y = 25
x + 15 = 25
Isolate variable x:
x = 10
It would be in the fourth quadrant because x is positive and y is negative. The quadrants are labeled in counter-clockwise order, starting in the upper-right.
Answer:
x=-1
Step-by-step explanation:
