Answer:
3000 cm³
Step-by-step explanation:
Volume = Difference of Volumes of the two pyramids
Volume, V1, of the larger pyramid with tip at L:
Base area = area of EFGH = 10²
Height = ML = 15
V2 = ⅓×(10²)×15 = 4000
Volume, V2, of the smaller pyramid with tip at L:
Base area = area of = 10²
Height = OL = OM+ML = 15+15 = 30
V1 = ⅓×(10²)×30 = 1000
Volume = V1 - V2
= 4000-1000 = 3000 cm³
Answer:
x° is 66°
Step-by-step explanation:
From the given diagram, we have;
∠JIH = 105° Given
∠IDJ = 39° Given
Therefore, we have;
∠JID and ∠JIH are supplementary angles, by the sum of angles on a straight line
∴ ∠JID + ∠JIH = 180° by definition of supplementary angles
∠JID + 105° = 180° by substitution property
∠JID = 180° - 105° = 75° by angle subtraction postulate
∠JID = 75°
∠IDJ + ∠JID + ∠IJD = 180° by the sum of interior angles of a triangle
∠IJD = 180° - (∠IDJ + ∠JID) = 180° - (39° + 75°) = 66° angle subtraction postulate
∠IJD = 66°
∠x° ≅ ∠IJD, by vertically opposite angles
∴ ∠x° = ∠IJD = 66° by the definition of congruency
∠x° = 66°
Answer:
b.) 104
Step-by-step explanation:
Percent formula:
x/y = p/100
where x is the fraction, y is the total, and p is the percent
This means:
x = number of games the team won
y = total number of games
p = percent the number of teams won
Let's plug these values into the equation:
x/y = p/100
x/160 = 65/100
Solve by cross-multiplying:
x/160 = 65/100
100(x) = 100x
160(65) = 10,400
100x = 10,400
/100 /100
x = 104
Therefore, the team won 104 games.
7.5 months for him to save up to 60 ;)
2x + 9 = -65
2x = -65 - 9
2x = -74
x = -74/2
x = -37
So, your final answer is -37
Hope this helps!
