45 = (x) + (x + 1) + (x + 2)
45 = 3x + 3
- 3
42 = 3x
/3
14 = x
45 = 14 + (14 + 1) + (14 + 2)
45 = 14 + 15 + 16
The ages of the 3 friends are 14, 15, and 16.
Answer: No, she does not have enough.
Step-by-step explanation:
1. You have the following information given in the problem above:
- The measures of the three pieces are: 32 centimeters, 41.19 centimeters and 57.8 centimeters long.
- She need 200 centimeters of ribbon for the box.
2. Therefore, you must add the measures given in the problem to know if Marie has enough ribbon to decorate the gift box. Then:

3. As you can see:
130.99 cm<200 cm
Therefore, she does not have enough ribbon.
Answer:
high jatdog
Step-by-step explanation:
- napaka pogi ko ayieeee
Answer:
c. (x + 3)
Step-by-step explanation:
using factor theorem
if x - 3 is a factor then p(a) = 0
p(a)= x^3 - 3x^2 - 4x + 12
a.(x-3)
p(3) = (3)^3 - 3(3)^2 - 4(3) + 12
= 27 - 27 - 12 + 12
= 0
therefore x-3 is a factor
b.(x + 2)
p(-2) = (-2)^3 - 3(-2)^2 - 4(-2) + 12
= -8 -12 + 8 + 12
,= 0
therefore x + 2 is a factor
c.(x + 3)
p(-3) = (-3)^3 - 3(-3)^2 - 4(-3) + 12
= -27 -27 + 12 + 12
= -30
therefore x + 3 is not a factor
d.(x-2)
p(2) = (2)^3 - 3(2)^2 - 4(2) + 12
= 8 -12 - 8 + 12
= 0
therefore x - 2 is a factor
Answer:
Triangle PRT is similar to triangle SRQ
Step-by-step explanation:
AA similarity Postulate :If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.
one angle is already given : angle RPT congruent to angle RSQ
The other is : angle TRP congruent to angle SRQ (both triangles share the same angle)
Triangle PRT is similar to triangle SRQ (AA postulate)