Answer:
Mikhail's age is 25 years old
Step-by-step explanation:
Let's make an equation: Say Mikhail is x, so Gabby would be 2*x=2x
If the sum of their ages equals 75, then x+2x=75, and x=2x=3x, so 3x=75.
75/3=25
Answer: x = 22
Explanation:
1) Corresponding sides and correspoding angles of congruent triangles are equal.
2) When you name two congruent triangles the order of the vertices signal which sides and angles are congruents.
That triangle ABC is congruent to triangle DEF means that these are the corresponding parts, which are congruent to each other:
- ∠A and ∠D are congruent
- ∠B and ∠ E are congruent
- ∠C and ∠F are congruent
- Segment AB and segment DE are congruent
- Segment BC and segment EF are congruent
- Segment AC and segment DF are congruent
In the figures, it is given that the segment DF measures (1/2)x - 1 and the corresponding segment AC measures 10 units.
Hence, you set this equation: (1/2)x - 1 = 10
Solving for x:
- (1/2)x = 10 + 1
- (1/2)x = 11
- x = 2(11)
- x = 22 ← answer
Let's create a variable to represent the size of Ruben's book collection prior to his buying the new books.
B = number of books in Ruben's collection before buying new ones
So, we know that when he bought 6 books, this increased his collection by 12%.
12% of his book collection would be represented by 0.12B. Therefore, we know that:
0.12B = 6
Divide both sides by 0.12, to get to B = 50.
However, you are being asked how many books does he have now. B represents the number of books he had before. Therefore you want to add back the 6 books he just bought.
The answer is 50 + 6 = 56
Answer: C
Step-by-step explanation: since the x’s are common terms, you just add them together
Answer:
breadth = 10 cm
length = 13 cm
Step-by-step explanation:
so,
perimeter = 46cm
2(l+b) = 46cm
or, 2(3+b+b) = 46cm ( because l = 3+b)
or, 2(3+2b) = 46cm
or, 6 + 4b = 46cm
or, 4b = 46cm - 6
or, 4b = 40cm
or, b = 40/4 cm
so, b = 10 cm
now,
l = 3cm + b
l = 3 cm + 10cm
= 13cm
