Answer:
No, triangles CDE and HGF are not necessarily congruent.
Step-by-step explanation:
Notice that just having one angle equal in value doesn't make the triangles congruent. To start with, we know that the three internal angles of a triangle must add up to 180 degrees, but all we know when one is 50 degrees, the other two must add up to 130 degrees, which can be done by an infinite number of different angle combinations: 110 + 20, 90 + 40, 80 + 50, etc.
Answer:
the reading of the length of the cylinder is 2.84 cm
Step-by-step explanation:
Given the data in the question;
the main scale reading = 2.8 cm
the Vernier reading = 4
the least count of the Vernier = 0.01 cm
the reading of the length of the cylinder = ?
To determine the reading of the length of the cylinder, we simply say;
Reading length = main scale reading + ( Vernier reading × least count )
so we substitute in our given values
Reading length = 2.8 cm + ( 4 × 0.01 cm )
Reading length = 2.8 cm + 0.04 cm
Reading length = 2.84 cm
Therefore, the reading of the length of the cylinder is 2.84 cm
Answer:
x = 145, y = 35
<em>Brainliest, please!</em>
Step-by-step explanation:
y = 35 degrees because it and the original 35 degree angle are alternate interior angles. Alternate interior angles are congruent, or the same.
x is supplementary to y. x + y = 180. x + 35 = 180. x = 180 - 35. x = 145
Answer:
$30,000 and $55,000
Step-by-step explanation:
If 4.5% loan is x, and the 6% loan is y, then:
x + y = 85000
0.045x + 0.06y = 4650
Solve the system of equations with substitution or elimination. Using substitution:
0.045x + 0.06(85000 − x) = 4650
0.045x + 5100 − 0.06x = 4650
450 = 0.015x
x = 30000
y = 55000
