Answer:
3/2 or 1 1/2 squares.
Step-by-step explanation:
It says it on the image attached. Also, it's what you get when you multiply
.
Kenny owned so many baseball cards that he sold 82 of them. After selling the cards he still had 159 left. Write and solve an eq
2 answers:
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Since, population of species A is represented by :
Let us find the population of species A, at the end of week 1:
i.e., x = 1
i.e.,
i.e.,
i.e.,
Also, since population of species B is represented by :
Let us find the population of species B, at the end of week 1:
i.e., x = 1
i.e.,
i.e.,
i.e.,
Thus, at the end of 1 week, species A and species B will have the same population.
Hence, option D is correct.
Answer:
The option is C i.e 115°, 65°. proof is given below.
Step-by-step explanation:
Given:
ABCD is a quadrilateral.
m∠ A = 100 + 5x
m∠ B = 77 - 4y
m∠ C = 106 + 3x
m∠ D = 47 + 6y
To Prove:
ABCD is a parallelogram if opposing angles are congruent by finding the measures of angles.
m∠ A = m∠ C and
m∠ B = m∠ D
Proof:
ABCD is a quadrilateral and is a parallelogram if opposing angles are congruent.
∴ m∠ A = m∠ C
On substituting the given values we get
∴ 100 + 5x = 106 +3x
∴
m∠ A = 100 + 5x = 100 + 5 × 3 =100 + 15 = 115°
m∠ C = 106 + 3x = 106 + 3 ×3 =106 + 9 = 115°
∴ m∠ A = m∠ C = 115°
Similarly,
∴ m∠ B = m∠ D
77 - 4y = 47 + 6y
10y = 77 - 47
10y =30
∴
m∠ B = 77 - 4y =77 - 4 × 3 = 77 - 12 = 65°
m∠ D = 47 + 6y = 47 + 6 × 3 = 47 + 18 = 65°
∴ m∠ B = m∠ D = 65°
Therefore the option is C i.e 115°, 65°