Small triangle: <span>The side // x axis has a length of 4
Large triangle: The side // x axis has a length of 12
So Small/Large = 4/12 = 1/3
Small triangle: <span>The side // y axis has a length of 3
Large triangle: The side // y axis has a length of 9
</span><span>So Small/Large = 3/9 = 1/3
So the scale factor to obtain this dilatation is 1/3</span>
</span>
1/8 of a quart would equal 1/4 of a pound
Hope this helps :)
<u>Given</u>:
Given that the bases of the trapezoid are 21 and 27.
The midsegment of the trapezoid is 5x - 1.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trapezoid midsegment theorem.
Applying the theorem, we have;

where b₁ and b₂ are the bases of the trapezoid.
Substituting Midsegment = 5x - 1, b₁ = 21 and b₂ = 27, we get;

Multiplying both sides of the equation by 2, we have;

Simplifying, we have;

Adding both sides of the equation by 2, we get;

Dividing both sides of the equation by 10, we have;

Thus, the value of x is 5.
Given:
Consider the given expression is

To find:
The simplified form of the given expression.
Solution:
We have,

Using properties of exponents, we get
![[\because a^ma^n=a^{m+n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5Ema%5En%3Da%5E%7Bm%2Bn%7D%5D)




Therefore, the simplified form of given expression is 25.
Answer:
The simplified answer of the given expression is 1.
Step-by-step explanation:
When you see (f + g)(x), then it means that you are going to add f(x) and g(x) together. So, we are going to add the terms together that are given in the problem. We are also given the value of x which is 1. So, we are going to combine this information together so we can simplify the expression.
(f + g)(1)
f(x) = x - 1
g(x) = x²
(f + g)(1) = (1 - 1) + (1²)
Simplify the terms in the parentheses.
(f + g)(1) = 0 + 1
Add 0 and 1.
(f + g)(1) = 1
So, (f + g)(1) will have a simplified answer of 1.