Answer:
The 135 external angle means its corresponding internal angle is (180–135) 45 degrees. The other internal angle of 65 plus the 45 is 110 degrees. Since the sum of degrees in the angles in a triangle is 180, the other interior angle is (180–110), or 70 degrees.
Step-by-step explanation:
Answer:
18p
Step-by-step explanation:
Answer:
3:5 <em>the colon is needed to represent the ratio</em>
Step-by-step explanation:
r = 10
g = 4
y = 30 - 14 = 6
y = 6
so ratio of total balls is 10:4:6
and ratio of y:r is
6:10
simply by dividing by 2
3:5
Answer: 490 grams of the first alloy should be used.
30 grams of the second alloy should be used.
Step-by-step explanation:
Let x represent the weight of the first alloy in grams that should be used.
Let y represent the weight of the second alloy in grams that should be used.
A chemist has two alloys, one of which is 15% gold and 20% lead. This means that the amount of gold and lead in the first alloy is
0.15x and 0.2x
The second alloy contains 30% gold and 50% lead. This means that the amount of gold and lead in the second alloy is
0.3y and 0.5y
If the alloy to be made contains 82.5 g of gold, it means that
0.15x + 0.3y = 82.5 - - - - - - - - - - - -1
The second alloy would also contain 113 g of lead. This means that
0.2x + 0.5y = 113 - - - - - - - - - - - - -2
Multiplying equation 1 by 0.2 and equation 2 by 0.15, it becomes
0.03x + 0.06y = 16.5
0.03x + 0.075y = 16.95
Subtracting, it becomes
- 0.015y = - 0.45
y = - 0.45/- 0.015
y = 30
Substituting y = 30 into equation 1, it becomes
0.15x + 0.3 × 30 = 82.5
0.15x + 9 = 82.5
0.15x = 82.5 - 9 = 73.5
x = 73.5/0.15
x = 490
