Answer:
m<BCD is 62 degrees
Step-by-step explanation:
From the diagram given, both triangles are similar triangles and triangle CAB is isosceles in nature;
Hence;
m<CAB = m<CBA
Also
m<CAB + m<CBA = m<BCD
31 + 31 = m<BCD
Swap
m<BCD = 31 + 31
m<BCD = 62 degrees
hence the measure of m<BCD is 62 degrees
<span>the sum of 5 and 2x : 5 + 2x
You can't add this because they are not like terms
</span>
Answer: Tiffany 15mph, Maggie 20mph
Step-by-step explanation:
Set up the equation 4((x+5) + x) = 140. x+5 represents how many miles Maggie covered in one hour. x represents how much Tiffany traveled in one hour. 140 is the number of miles in total. 4 is the number of hours in total.
Simplify the equation.
(x+5) + x = 35 Divide both sides by 4
2x+5 = 35 Combine like terms
2x = 30 Subtract 5 from both sides
x = 15 Divide both sides by 2
Tiffany traveled 15mph, while Maggie traveled 15+5=20mph.
Note: Consider x be the breadth of the box.
Given:
The surface area of the box is 204.25 square feet.
Length of the box = 10 ft
Breadth of the box = x ft
Height of the box = 6.5 ft
To find:
The value of x.
Solution:
The surface area of a cuboid is:
Where, l is length, b is breadth and h is height of the cuboid.
Putting 
in the above formula, we get
Using distributive property, we get
Divide both sides by 33.
Therefore, the correct option is B.
Answer: The Earth makes one rotation every day.
Step-by-step explanation:
