Casserole left over by Sam = 3/4 of the whole
Casserole received by Jackie and Alicie = 1/2 x 3/4 = 3/8 of the whole
Portion eaten by Jackie = 2/3 x 3/8 = 1/4 of the whole
Angle A = 130° and Angle B = 110°
Solution:
Given ABCD is a trapezoid with ∠C = 70° and ∠D = 50°
If ABCD is a trapezoid, then AB is parallel to CD.
AD is a transversal to AB and CD and
BC is a tranversal to AB ad CD.
Sum of the interior angles on the same side are supplementary.
∠A + ∠D = 180°
⇒ ∠A + 50° = 180°
Subtract 50° on both sides to equal the expression.
⇒ ∠A = 180° – 50°
⇒ ∠A = 130°
Similary, ∠B + ∠C = 180°
⇒ ∠B + 70° = 180°
Subtract 50° on both sides to equal the expression.
⇒ ∠B = 180° – 70°
⇒ ∠B = 110°
Hence, angle A = 130° and angle B = 110°.
Answer:x + y + z is a trinomial in three variables x, y and z. 2a2 + 5a + 7 is a trinomial in one variables a. xy + x + 2y2 is a trinomial in two variables x and y. -7m5 + n3 – 3m2n2 is a trinomial in two variables m and n.
Step-by-step explanation:google that shis
Answer:
16 days
Step-by-step explanation:
24 men works 8 hours a day to complete a work in 15 days. While 20 men works at 9 hours per day to complete the same work in x days. We can find the number of days it took the 20 men by using the expression below:
24 men * 8 hours/day * 15 days = 20 men * 9 hours/day * x days
![x (days)=\frac{24\ men * 8\ hours/day * 15\ days }{20\ men * 9\ hours/day} \\\\Simplifying\ gives:\\\\x(days)=16\\\\x=16\ days](https://tex.z-dn.net/?f=x%20%28days%29%3D%5Cfrac%7B24%5C%20men%20%2A%208%5C%20hours%2Fday%20%2A%2015%5C%20days%20%7D%7B20%5C%20men%20%2A%209%5C%20hours%2Fday%7D%20%5C%5C%5C%5CSimplifying%5C%20gives%3A%5C%5C%5C%5Cx%28days%29%3D16%5C%5C%5C%5Cx%3D16%5C%20days)
Therefore it took 20 men working 9 hours/day, 16 days to complete the same work
Answer: The sum of all of the interior angles can be found using the formula S = (n - 2)*180. It is also possible to calculate the measure of each angle if the polygon is regular by dividing the sum by the number of sides.
explanation: The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides. The sum of exterior angles of a polygon is 360°. The formula for calculating the size of an exterior angle is: exterior angle of a polygon = 360 ÷ number of sides.