Answer:
15
Step-by-step explanation:
Let x represent the number of algebra problems. Then the number of geometry problems was 27-x and the total working time was ...
2x +5(27 -x) = 90
-3x = 90 -135 . . . . subtract 135
x = -45/-3 = 15 . . . divide by -3
Rob had 15 algebra problems for homework.
Answer:
m∠P ≅ m∠L; this can be confirmed by translating point P to point L.
Step-by-step explanation:
Angle angle (AA) similarity postulate state that two triangles are similar if two of their corresponding angle is similar. The corresponding angle for each point of the triangles will be:
∠L=∠P
∠Q=∠M
∠N=∠R
Since the 2nd triangle made from dilation, it should maintain its orientation.
Option 1 is true, ∠P corresponds to ∠L. If you move/translate point P to point L, you can confirm it because their orientation is the same.
Option 2 is false, the triangle will be similar if ∠P=∠N but you can't confirm it with translation alone.
Option 3 and 4 definitely wrong because it speaking about length, not the angle.
Answer:
32+160
Step-by-step explanation:
Answer:
Step-by-step explanation:
Alright, lets get started.
The part of the diagonals are given as 0.9 m and 1.2 m.
The diagonals of rhombus intersect each other.
Hence the length of diagonals will be :
and 
The formula of area of rhombus is :
where p and q are the length of diagonals.
So plugging the values of diagonals in formula, the area will be :
Area = 
Area = 
Area =
................. Answer
Hope it will help :)
We know that
surface area of sphere=4*pi*r²
r=√[surface area/(4*pi)]
for surface area=27648
r=√[27648/(4*3)]-------> r=√2304-----> r=48 units
volume of a sphere=(4/3)*pi*r³-----> (4/3)*3*48³---> 442638 units³
the answer is
<span>442368</span>