Answer:
r=20
Step-by-step explanation:
since the angle and sum of a straight line is equal to 180, you structure an equation:
180=105+(4r-5)
solve for r
180=100+4r
80=4r
20=r
check answer
4r-5 4(20)-5
80-5
75+105=180
The triangle with side lengths 10", 24", and 26" is a right angle triangle
<u>Explanation:</u>
Given:
Sides of a triangle:
a = 10 in
b = 24 in
c = 26 in
To prove: right angle triangle
Using pythagoras theorm:
(c)² = (a)² + (b)²
(26)² = (10)² + (24)²
676 = 100 + 576
676 = 676
Right hand side is equal to left hand side.
Thus, the triangle with side lengths 10", 24", and 26" is a right angle triangle
Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is
10.8−2.6=8.2.
Range = 8.2
*see attachement for the diagram that is being referred to
Answer:
m<ACB = 50°
Step-by-step explanation:
From the diagram, <DCB is a right angle = 90°
Therefore:
m<DCA + m<ACB = 90° (complementary angles)
m<DCA = 40° (given)
Thus:
40° + m<ACB = 90° (Substitution)
m<ACB = 90° - 40° (Subtraction property of equality)
m<ACB = 50°