Answer:
110
Step-by-step explanation:
x=110 due to congruent angle
(suggest u to draw 2 straight lines and observe differences and similarities of the 4 angles)
Answer:
6 bags
Step-by-step explanation:
48/7 = 6 remainder 6
Joel can fill 6 bags with 7 oranges each. He will have 6 oranges left over.
Answer:
(3x-4)(x-5)
Step-by-step explanation:
This is in the form
ax²+bx+c.
To factor this, we find factors of a·c that sum to b; this means factors of 3(20) = 60 that sum to -19:
60 = 1(60) or -1(-60); 2(30) or -2(-30); 3(20) or -3(-20); 4(15) or -4(-15); 5(12) or -5(-12); 6(10) or -6(-10). The only of these that sum to -19 are -4 and -15. This means we will split up -19x into -4x and -15x:
3x²-4x-15x+20
Next we group the first two terms and the last two terms:
(3x²-4x)+(-15x+20)
Factor out the GCF of each group. For the first group, this is x:
x(3x-4)
For the second group, this is -5:
-5(3x-4)
The common factor for these two groups is (3x-4):
(3x-4)(x-5)
Answer:
72°
Step-by-step explanation:
The lengths 25 cm and 8 cm are the sides of the rectangle.
See the attached diagram of rectangle ABCD.
Now, let us assume the diagonal AC makes x° angle with the shorter side BC i.e.∠ BCA = x°
So, using trigonometry we can write

⇒
degrees ≈ 72 degrees {Rounded to nearest degree} (Answer)