Answer:
c
Step-by-step explanation:
y =
x + 2 → (1)
2y = 5x + 4 ( divide through by 2 )
y =
x + 2 → (2)
the 2 equations are the same and will have infinitely many solutions
The measure of the third angle in the triangle is 104 degrees
<h3>How to determine the measure of the third angles?</h3>
Let the three angles in the triangle be x, y and z.
Such that:
x = 51
y = 25
The sum of angles in a triangle is 180 degrees.
So, we have:
x + y + z = 180
Substitute known values
51 + 25 + z = 180
Evaluate the sum
76 + z = 180
Subtract 76 from both sides
z = 104
Hence, the measure of the third angle is 104 degrees
Read more about triangles at:
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Answer:
x=4
Step-by-step explanation:
If all the figures are similar, we'll have to shrink them at the same rate as the rest.
The ratio here is 2/5. So,
2/5 = 6.4/16
2/5 = x/10
x=4
Answer:
Area of rectangle PLUM = 75.00 square units
Step-by-step explanation:
Since diagonal of rectangle divides the rectangle into two equal triangles,
Therefore, area of the rectangle PLUM = 2× area of triangle PLM
By the mean proportional theorem,
In ΔPLM,
AP² = AM × AL
6² = AM × 8
AM =
AM = 4.5 units
Area of PLM = 
= 
= 
= 12.5 × 3
= 37.5 units²
Now area of rectangle PLUM = 2×37.5 = 75 units²
Therefore, area of the rectangle is 75.00 square units.