Answer:
∠1 = 66°
∠2 = 24°
∠3 = 24°
∠4 = 90°
Step-by-step explanation:
∠1 = 90 - 24 = 66°
∠2 = 24°
∠3 = 24° because segment DB bisects ∠ABC
∠4 = 90° because it is a right angle
(a) The third side could be 6 cm long because the rule for this triangle is that the third side must be greater than 1 and less than 7. (4 - 3 = 1; 4 + 3 = 7) Then you can draw the triangle with Side 1 = 3 cm; Side 2 = 4 cm; Side 3 = 6 cm.
(b) The third side could not be 1 cm long because the rule for this triangle is that the third side must be greater than 1 and less than 7. (4 - 3 = 1; 4 + 3 = 7) This means that you cannot draw the triangle.
Answer:
B. 3/5
Step-by-step explanation:
Answer: 1,626 cubic meters
Step-by-step explanation:
V= lwh
V= length x with x height
Each number isn't specified (i dont know which numbers represent the width, length, and height since it isn't said) but that doesn't matter because according to the commutative property , you can multiply in any order and still get the same result.
So V= 15.8 x 24.5 x 4.2
V= 1,625.82
Rounded to the nearest cubic meter: 1,626 because 1625.82 becomes 1625.8, which, to the nearest whole number, is 1,626.
The bisector divides the line BC in the following ratio.
(x + 8) / 10 = (2x - 5) / 14 Cross Multiply
14(x + 8) = 10(2x - 5) Remove the brackets.
14x + 112 = 20x - 50 Subtract 14x from both sides . Add 50 to both sides
112 + 50 = 20x - 14x Collect like terms
162 = 6x Divide by 6
x = 27