Answer:
∠4=135
Step-by-step explanation:
vertical angles are always equal
∠1=∠3
3x-9=x+27
3x-x=27+9
2x=36
x=36/2=18
∠1 =3x-9
∠1=3(18)-9
∠1=54-9=45
∠1+∠4=180 degrees
45+∠4=180
∠4=180-45
∠4=135
Answer: 42 feet.
Step-by-step explanation:
Let's call the shorter side: x
Based on the information given in the problem, you know that:
Longer side:
Hypotenuse:
- Apply the Pythagorean Theorem:
Where<em> a</em> is the hypotenuse and <em>b</em> and <em>c</em> are the legs.
- Substitute values. Therefore, you obtain:
- Solve for x. Keep on mind that:
Then:
Therefore, the length of the shorter leg is 42 feet.
5+4b<span>≥32
7 Packages of bracelets.
Solve It
5+4b</span><span>≥32
subtract 5 from both sides
4b</span><span>≥27
divide 4 on both sides
b</span><span>≥6.75
Since you can't buy a half packet you round up to 7</span>
Answer:
Step-by-step explanation:
add all divide by to total no.of value
64/4=16
mean=16
We can use the distance formula to find the distance between these two points:
√(-2 - (-9))^2 + (-2 - (-6))^2
√(49) + (16)
√65
8.1 is the approximate distance between the two points.