Answer:
∠A = ∠C = 45° and ∠B = ∠D = 135°
Step-by-step explanation:
In the picture attached ABCD is a parallelogram in which the measure of angle C is one third of the measure of angle B.
Since in a parallelogram opposite angle are equal then we can say easily that ∠A = ∠C and ∠B = ∠D
We know in a parallelogram sum of all internal angles = 360°
Therefore ∠A + ∠B +∠C + ∠D = 360°
Since ∠A = ∠C and ∠D = ∠B
∠C + ∠B + ∠C + ∠B = 360°
2(∠B + ∠C) =360
∠B + ∠C = 180
Now ∠C = 1/3×∠B
∠B + 1/3×∠B = 180
4/3 ×(∠B) =180
∠B =
∠C = 1/3×∠B = 135/3 = 45°
Therefore ∠B = ∠D = 135° and ∠A = ∠C = 45°
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Answer:
4kg type B coffee in each of the bags
Step-by-step explanation:
In this question, we are obviously dealing with coffees. Shouldn’t be too hard, right? Okay!
We are tasked with finding the amount in kilograms of type B coffee present in a bag of coffee.
We already know that in a bag , there are 4kg of type A coffee. Hence, in 6 bags, what we will be having would be 6 * 4kg = 24kg of type A coffee
The total kilograms of coffee in 6 bags of coffee is 48kg. Now we know we have 24kg of type A, the amount of type B coffee present is thus 48kg -24kg = 24kg
In one bag? This is equal to 24kg/6 = 4kg type B coffee in each bag
Answer:
x = 12
Step-by-step explanation:
Looking at the diagram, we can deduct that the appropriate formula to use is form power of a point, specifically when two secants intersect outside of a circle. Using this, you get the equation:
(x + 5 + 7)(7) = (x + 1 + 8)(8)
And, you can simplify and solve:
(x + 12)(7) = (x + 9)(8)
7x + 84 = 8x + 72
84 = x + 72
x = 12
Answer:
Option B.
Step-by-step explanation:
It is given that Jin’s soccer team has 4 coaches and 22 players.
His twin sister’s team has 2 coaches and 11 players.
So, the ratio of coaches and players is 2:11.
We need the ordered pair could represent the total number of coaches and players in the entire league if the relationship between the number of players and coaches is proportional throughout the league.
Ordered pair for total number of coaches and players in the entire league is 6 coaches and 143 players.
Therefore, the correct option is B.