Answer:
x = 
Step-by-step explanation:
Equate f(x) and g(x) , that is
- 3x + 4 = 2 ( subtract 4 from both sides )
- 3x = - 2 ( divide both sides by - 3 )
x =
= 
The incomplete portion is
Angles _____1_________ are congruent by the Alternate Interior Angles Theorem. Angles _____2_________ are congruent by the Corresponding Angles Theorem.
1) <PBC and <BAD
2) <BAT and <CDA
Angles <PBC and <BAD are congruent by the Alternate Interior Angles Theorem. Angles <BAT and <CDA are congruent by the Corresponding Angles Theorem.
<PBC and <BAD are the Alternate Interior Angles of parallel lines AD and BC and traversal is AP
<BAT and <CDA are the Alternate Interior Angles of parallel lines AB and CD and traversal is TD
Answer: y=-3m+13
Step-by-step explanation:
y=mx+c
m is the gradient
y=-3x+c
We know one point
-2=3(-5)+c
Solve for c
-2=-15+c
13=c
y=-3m+13
Answer:
8 ejercicios
Step-by-step explanation:
De acuerdo a la información dada, puedes plantear las siguientes ecuaciones:
x+y= 45 (1)
7x-1y= 19 (2)
x= ejercicios que resolvió bien
y= ejercicios que resolvió mal
Primero, puedes despejar x en (1):
x= 45-y (3)
Segundo, debes reemplazar (3) en (2):
7(45-y)-1y=19
315-7y-1y= 19
315-8y= 19
315-19= 8y
296= 8y
y= 296/8
y= 37
Tercero, debes reemplazar el valor de y en (3) para encontrar x:
x= 45-37
x= 8
De acuerdo a esto, la respuesta es que el hijo ha resuelto bien 8 ejercicios.
Start with 3 one-by-one squares. This represents the '3' in 4t+3
Then draw 4 rectangles that are vertical or horizontal. Make sure the rectangle is longer than it is wide, or vice versa. The longer side is t units long (t is just a placeholder for a number). The shorter side is 1 unit long
The longer thin rectangles have an area of 1*t = t square units. Four of them represent t+t+t+t = 4*t = 4t
The small squares have an area of 1*1 = 1. Three of them represent 1+1+1 = 1*3 = 3
This is one possible way to draw it out. See the attached drawing.