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Answer:
2w+5=30
Step-by-step explanation:
Two times the number(w) PLUS 5 is equal to 30. That means that you multiply w by 2, add 5, and that is equal to 30.
Let n be a number of balls: n = 14
In one pan you have 8 balls: 8n
In the other pan you have the rest of balls (14 - 8 = 6) along with a <span>weight of 20 grams = 6n + 20
So the pans are balanced:
8n = 6n + 20
Now, just solve the equation:
8n - 6n = 20
2n = 20
n = 20/2
n = 10
So, you know that a ball weights 10 grams.</span>
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Answer:
Step-by-step explanation:
The rhombus has several relevant properties.
- The sides are all the same length
- Diagonals are perpendicular bisectors of each other
- Diagonals divide the rhombus into congruent triangles
The last of these relations can be used to find x:
7x° = 35°
x = 35°/7° = 5
The second of the relations can be used to find y:
3y° = 90°
y = 90°/3° = 30
The first of the relations can be used to find z:
10z -8 = 5z +32
5z = 40 . . . . . . . . . add 8-5z
z = 40/5 = 8