Answer:
Siw's age is 10 years old
Mona's age is 8 yers old
Mother's age is 40 years old
Step-by-step explanation:
Let
x ----> Siw's age
y ---> Mona's age
z ---> Mother's age
we know that
Siw is a fourth as old as mother
so
----> equation A
Mona is a fifth as old as mother
so
----> equation B
Mother is 22 years older than the two girls together.
so
----> equation C
substitute equation A and equation B in equation C

solve for z
Multiply by 20 both sides to remove the fraction


Find the value of x

Find the value of y

therefore
Siw's age is 10 years old
Mona's age is 8 yers old
Mother's age is 40 years old
Answer: -279
Step-by-step explanation:
-129-150= -279
to check
-279+150= -129
They are parallel to one another
Answer:
Cards with Mark = 30
Cards with Drew = 120
Cards with Katie = 12
Step-by-step explanation:
The complete question is
Drew has 4 times as many baseball cards as Mark. Katie has 3 fewer than than half as many cards as Mark. In all they have 162 baseball cards. How many does each have?
Solution -
Let the number of cards with Mark be "X"
Number of cards with Drew = 4 *X = 4X
Number of Cards with Katies = 0.5 X -3
Sum of all the cards is equal to 162
X+4X + 0.5 X -3 = 162
5.5 X = 165
X = 30
Cards with Mark = 30
Cards with Drew = 4 * 30 = 120
Cards with Katei = 15-3 = 12
Answer:
Step-by-step explanation:
Given:
AB ≅ DC and AC ≅ DB
To Prove:
ΔABC ≅ ΔDCB
Statements Reasons
1). AB ≅ DC and AC ≅ DB 1). Given
2). BC ≅ CB 2). Reflexive property
3). ΔABC ≅ ΔDCB 3). SSS property of congruence