Answer:
<NBE = 120°
Step-by-step explanation:
From the above attachment,
<KMB = 30°
<KBT = 90° (perpendicular angles are equal to 90°)
<MBE = x
<KMB + <KBT + <MBE = 180° (angles on a straight line are equal to 180°)
30° + 90° + <MBE = 180°
120° + <MBE = 180°
Solve for <MBE
<MBE = 180° - 120°
<MBE = 60°
<MBE = <TBN (vertical angles are congruent, making them equal to each other).
<TBN = 60°
<TBN + <NBE = 180° (angles on a straight line are equal to 180°)
60° + <NBE = 180°
<NBE = 180° - 60°
<NBE = 120°
Angle <NBE is equal to 120°
Answer:
x=1 and y=1
Step-by-step explanation:
see attachment
Answer: the 2 integers are 15 and 17
Step-by-step explanation:
Let x represent the hypotenuse of the right angle triangle. Since the hypotenuse and the other leg are odd consecutive integers, then the other leg is x - 2 because x is longer
When a right angle triangle is formed, it means that
Hypotenuse² = opposite side² + adjacent side²
If the shortest side is 8, it means that
x² = (x - 2)² + 8²
x² = x² - 2x - 2x + 4 + 64
x² - x² + 2x + 2x = 68
4x = 68
x = 68/4 = 17
Therefore, the length of the other leg is
x - 2 = 17 - 2 = 15
The package has a surface area of 4520cm². The area of the package is less than the area of the wrapping paper. So, dayson can cover the package with the wrapping paper.
According to the question,
The first step is to determine the surface area of the package.
Total surface area of a cuboid = 2 (l w + w h + l h)
where:
• l = length
• w = width
• h = height
2[(50 x 20) + (50 x 18) + (20 x 18)] = 4520cm²
The second step is to convert 1 square meter to cm
1m² = 100 cm²
100 x 100 = 10,000
To learn how to convert units, please check: brainly.com/question/25993533
#SPJ4
Answer:
<7 =73
<8=107
Step-by-step explanation:
all odd angles equal each other in that shape, so <7=<3 and all even equal other evens. <8=<4
to find angle 8, I subtracted 73 from 180.
180-73=107