Answer:
b
Step-by-step explanation:
∠ BAD = 90° and
∠ DAC + ∠ CAB = ∠ BAD, that is
x + 2x - 30 = 90
3x - 30 = 90 ( add 30 to both sides )
3x = 120 ( divide both sides by 3 )
x = 40 → b
Answer:
x=1
Step-by-step explanation:
6x+5=11
6x=11-5
6x=6
x=1
Answer:
{8 cm, 15 cm, 17 cm}
Step-by-step explanation:
we know that
The length sides of a right triangle must satisfy the Pythagoras Theorem
so
![c^2=a^2+b^2](https://tex.z-dn.net/?f=c%5E2%3Da%5E2%2Bb%5E2)
where
c is the greater side (the hypotenuse)
a and b are the legs (perpendicular sides)
<u><em>Verify each case</em></u>
case 1) we have
{5 cm, 15 cm, 18 cm}
substitute in the formula
![18^2=5^2+15^2](https://tex.z-dn.net/?f=18%5E2%3D5%5E2%2B15%5E2)
----> is not true
therefore
Sean cannot make a right triangle with this set of lengths
case 2) we have
{6 cm, 12 cm, 16 cm}
substitute in the formula
![16^2=8^2+12^2](https://tex.z-dn.net/?f=16%5E2%3D8%5E2%2B12%5E2)
----> is not true
therefore
Sean cannot make a right triangle with this set of lengths
case 3) we have
{5 cm, 13 cm, 15 cm}
substitute in the formula
![15^2=5^2+13^2](https://tex.z-dn.net/?f=15%5E2%3D5%5E2%2B13%5E2)
----> is not true
therefore
Sean cannot make a right triangle with this set of lengths
case 4) we have
{8 cm, 15 cm, 17 cm}
substitute in the formula
![17^2=8^2+15^2](https://tex.z-dn.net/?f=17%5E2%3D8%5E2%2B15%5E2)
----> is true
therefore
Sean can make a right triangle with this set of lengths
Answer:
26
Step-by-step explanation:
Sydney = x
Devaughn = 2x
x + 2x = 78
3x = 78
x = 78 / 3
x = 26
Hope that helps!
25a-5a
Hope this helps!!!!