I think the answer is Beth can make 8 dozen gingerbread men
Answer: (3x+2)(x+4)
Step-by-step explanation:Explanation:
3x2+10x−8
first multiply
3
with −8
and we get −24
then find two numbers that if we add or subtract we get
+10
and if we multiply we get
−24
and the numbers are
+12
and
−2
then we place those numbers as follow :-
3x2+12x−2x−8
then we group them
(3x2+12x)(−2x−8)
now take the common factor out.3x(x+4)−2(x+4)
then group the numbers outside of the brackets
(3x−2)(x+4)
Answer:
3.7 + r < 1.2
Step-by-step explanation:
a number r added to 3.7 is 3.7 + r
New expression 3.7 + r should be less than 1.2 --->
3.7 + r < 1.2
Answer:
The component form of the vector P'P is 
Step-by-step explanation:
The component form of the vector that translates P(4, 5) to P'(-3, 7), is given as follows;
The x-component of the vector = The difference in the x-values of the point P' and the point P = -3 - 4 = -7
The y-component of the vector = The difference in the y-values of the point P' and the point P = 7 - 5 = 2
The component form of the vector P'P = 
Answer:
m<BGC = 145°
Step-by-step explanation:
<AGC and <DGB are vertical angles. Vertical angles are congruent. Therefore:
m<AGC = m<DGB
(substitution)
Collect like terms
Divide both sides by -5
x = 5
m<BGC = 180 - (m<AGC) (linear pair)
m<BGC = 180 - (3x + 20)
Plug in the value of x
m<BGC = 180 - (3(5) + 20) = 180 - 35
m<BGC = 145°