Step-by-step explanation:
DG+GM=DM
r+2+2r-13=25
combine like terms
3r-11=25
3r=36
r=12
2 / 4 = 1 / 2 = 9 / 18 ;
2 / 9 = 4 / 18 ;
9 > 4 ;
9 / 18 > 4 / 18 ;
Then, 2 / 4 > 2 / 9 .
The ratio guest to appetizers at the party was 4 guest per appetizer.
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Ratio of guest to appetizers = 8 guest / 2 appetizers = 4 guest per appetizer.
The ratio guest to appetizers at the party was 4 guest per appetizer.
Find out more on equation at: brainly.com/question/2972832
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Answer:
x = 5
Step-by-step explanation:
The area (A) of a triangle is calculated as
A =
bh ( b is the base and h is height )
Here A = 20, b = (x + 3) and h = (2x - 5) , then
(x + 3)(2x - 5) = 20 ← multiply both sides by 2
(x + 3)(2x - 5) = 40 ← expand left side using FOIL
2x² + x - 15 = 40 ( subtract 40 from both sides )
2x² + x - 55 = 0 ← in standard form
(x - 5)(2x + 11) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
2x + 11 = 0 ⇒ 2x = - 11 ⇒ x = - 5.5
But x > 0 , so x = 5