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>
<h2><u>
Answer:</u></h2>
The <u>algebraic expressions</u> are composed of several elements: Terms, Coefficients, Signs, Variables and Exponents. In this case we will focus on the first two.
<u>The terms</u> are composed of sign, coefficient, variable and exponent. The terms are separated from each other by the plus sign (+) or the minus sign (-).
For example, in the following expression:
2x-3x
We have two terms separated by the negative sign (-):
2x is the first term
-3x is the second term
Now, <u>the coefficients</u> are the numbers that multiply the variable. <u>Note that if this coefficient is one (1) it is omitted
.</u>
For example in the following expression, the variable is x:
2x-3x+x
2 is the coefficient of x in the first term
-3 is the coefficient of x in the second term
1 is the coefficient of x in the third term, <u>but is omitted
</u>
In order to understand this in a better way, see the figure attached, where the algebraic expression is composed by one term.
Answer:
924m^3 is the volume of the rectangular prism
The value of x is 5/8.
<u>Step-by-step explanation</u>:
Given,
- The lines PQ and RS are parallel to each other.
- slope of PQ= x-1/4
- slope of RS = 3/8
The slopes of parallel lines are equal.
slope of PQ = slope of RS
⇒ x-1/4 = 3/8
⇒ (4x-1)/4 = 3/8
⇒ 8(4x-1) = 4(3)
⇒ 32x-8 = 12
⇒ 32x = 20
x = 20/32
x = 5/8