Answer:
The number is 35
Step-by-step explanation:
Let x be the number
1/5 x + 3x
=
2x + 42 Break the question into phrases and solve 1 phrase at a time.
1/5 = 0.2
0.2x + 3x = 2x + 42 Combine the left
3.2x = 2x + 42 Subtract 2x from both sides
3.2x - 2x = 42 Combine
1.2x = 42 Divide by 1.2
x = 42/1.2
x = 35
Answer:
The equation of the line would be y = -2x + 8
Step-by-step explanation:
In order to find this, we first need to find the slope of the original equation. We can do this by solving for y.
x - 2y = -6
-2y = -x - 6
y = 1/2x + 3
Now that we have a slope of 1/2, we know the new perpendicular line will have a slope of -2. We know this because perpendicular lines have opposite and reciprocal slopes. This means we flip it and change the sign. Now we can use this slope along with the point to find the equation.
y - y1 = m(x - x1)
y - 2 = -2(x - 3)
y - 2 = -2x + 6
y = -2x + 8
35 because multiplying 5 and 7 will equal 35, therefore 35/5=7.
Answer:
C: All isosceles triangles are not similar. The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.
Step-by-step explanation:
An Isosceles triangle is one that 2 of it's sides are equal and thus two of its angles are congruent which means they are equal.
Now, another Isosceles triangle may not necessarily be similar to another one because the congruent angles in one Isosceles triangle may not be the same with that of another Isosceles triangle.
Thus, correct answer is option C
