Answer:
√41 or 6.40
Step-by-step explanation:
Pythagorean theorem:
a² + b² = c²
The third side is considered the hypotenuse (c²).
a² and b² will be represented by the legs.
a² = 4²
b² = 5²
c² = c²
4² + 5² = c²
16 + 25 = c²
31 = c²
√41 = c
Answer:
Step-by-step explanation:
Since SR and RT are equal they are opposite equal angles. The sum of angles must be 180.
2(2x+2)+3x+1=180
4x+4+3x+1=180
7x+5=180
7x=175
x=25
R=3x+1
R=3(25)+1
R=76 degrees.
5x-12=3x-4
2x=8
x=4
3x-4 becomes
3(4)-4
DE=8
3x + 1 = 3x + 2 <===
3x - 3x = 2 - 1
0 = 1 (incorrect)....so this has no solutions
40x = 1500
x = 37.5
37.5% i believe
2 angles are Complementary, if the sum of their measures = 90°.
Let the 2 angles be A and B, and let their measures be m(A)=a, m(B)=b.
Let A be the larger angle.
"the larger angle is six more than three times the smaller angle."
can be 'translated' into algebra as: a = 6 + 3b
Also, since A and B are complementary, we have a+b=90°.
substitute a=6+3b in the second equation:
a+b=90°
(6°+3b+b)=90°
4b=90°-6°
b=84°/4=21°
Then, a = 90°-21°=69°
Answer: a= 69°, b=21°