Answer:
The answer to your question is Angelica 19, her mom = 11
Step-by-step explanation:
Data
Angelica has 8 more than her mother
total number of shoes = 30 pairs
The Number of pairs Angelica has = a = ?
The Number of pairs her mother has = m = ?
Process
1.- Write two equation that help to solve this problem
a = m + 8 Equation l
a + m = 30 Equation ll
2.- Solve the system of equations by substitution
Substitute equation l in equation ll
(m + 8) + m = 30
-Solve for m
m + 8 + m = 30
2m = 30 - 8
2m = 22
m = 22/2
m = 11
3.- Find a
a = 11 + 8
a = 19
4.- Conclusion
Angelica has 19 pairs of shoes and her mom has 11
Answer:
Part A: Angle R is not a right angle.
Part B; Angle GRT' is a right angle.
Step-by-step explanation:
Part A:
From the given figure it is noticed that the vertices of the triangle are G(-6,5), R(-3,1) and T(2,6).
Slope formula

The product of slopes of two perpendicular lines is -1.
Slope of GR is

Slope of RT is

Product of slopes of GR and RT is

Therefore lines GR and RT are not perpendicular to each other and angle R is not a right angle.
Part B:
If vertex T translated by rule

Then the coordinates of T' are


Slope of RT' is

Product of slopes of GR and RT' is

Since the product of slopes is -1, therefore the lines GR and RT' are perpendicular to each other and angle GRT' is a right angle.
I believe x=2 because 6x=2x+8