The <em><u>correct answers</u></em> are:
A-theorem
; B-corollary
; C-Postulate
; and E-Definition.
Explanation:
In a proof, we are tasked with proving one statement using other information that has already been proven.
Theorems are statements that have already been proven, and are used to prove other statements.
A postulate is a statement that is assumed to be true, and is used to prove other statements.
A corollary is a direct consequence of a proven fact, and as such, are used to prove other statements.
A definition is an absolute truth, so it can also be used to prove another statement.
Answer: x^2 +6x +2x +36 = X^2 +8x + 36
Step-by-step explanation:
Answer:
Se necesitan 37.5 litros del preparado que contiene 5% de jugo natural, y 12.5 litros del que contiene 25%.
Step-by-step explanation:
Primero calculamos la cantidad total de jugo natural que se necesita, a partir del volumen de jugo mixto que se quiere vender:
Ahora, que X sean los litros del preparado con jugo de 5%, y que Y sean los litros del preparado con jugo de 25%:
La suma de ambos preparados tiene que ser 50 L:
1. x + y = 50
La suma del jugo natural tiene que ser 5:
2. x*5/100 + y*25/100 = 5
Por lo que tenemos <em>un sistema de dos ecuaciones y dos incognitas</em>.
Expresamos x en términos de y:
Reemplazamos x en la segunda ecuación:
- (50-y)*5/100 + y*25/100 = 5
Y despejamos <em>y</em>:
Usando ese valor de y, calculamos x:
Answer: 30 inches
Step-by-step explanation:
20/8 = x/12
20(12) = 8x
240 = 8x = 30
