400-3x=112
3x=400-112=288
x=96
He is 96 years old.
Answer:
y - 6 = - 3(x + 1)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 3 and (a, b) = (- 1, 6) , then
y - 6 = - 3(x - (- 1) ) , that is
y - 6 = - 3(x + 1)
<h3>
Answer: x = 14</h3>
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Work Shown:
Refer to the diagram below. I've added a line segment and two variables y and z. This forms two isosceles triangles.
The central angle 56 degrees subtends the same arc as the inscribed angle y. By the inscribed angle theorem, this means y = 56/2 = 28. The inscribed angle is always half of the central angle (when both angles subtend the same arc).
Focus on the smaller isosceles triangle that has angles 56, z and z. Those three angles add to 180
z+z+56 = 180
2z+56 = 180
2z = 180-56
2z = 124
z = 124/2
z = 62
Now focus on the larger isosceles triangle (angles y = 28, x+z and x+z)
We'll use the same trick as before.
(x+z)+(x+z)+(y) = 180
(x+62)+(x+62)+(28) = 180 ... plug in z = 62 and y = 28
2x+152 = 180
2x = 180-152
2x = 28
x = 28/2
x = 14
Answer:
METHOD 1:
5x+7(x+1)=5x-21
5x+7x+7=5x-21
12x+7=5x-21
12x-5x=-21-7
7x=-28
x=28/7
x=4
METHOD 2:
5x+7(x+1)=5x-21
5x+7(x+1)=5x-21-5x
7(x+1)=-21
7x+7=-21
7x=-28
x=4
Step-by-step explanation:
METHOD 1:
5x+7(x+1)=5x-21
5x+7x+7=5x-21
12x+7=5x-21
12x-5x=-21-7
7x=-28
x=28/7
x=4
METHOD 2:
5x+7(x+1)=5x-21
5x+7(x+1)=5x-21-5x
7(x+1)=-21
7x+7=-21
7x=-28
x=4