Answer:
Step-by-step explanation:
The measure of the vertex angle of the isosceles Δ is 96°
Step-by-step explanation:
In the isosceles triangle
- Two sides are equal in lengths
- The angle between the two equal sides is called vertex angle
- The other two angles are called base angles
- The base angles are equal in measure
∵ The measure of one of the base angles of an isosceles Δ = 42°
- The base angles are equal in measure
∴ The measure of the other base angle = 42°
∵ The sum of the measures of the interior angles of any Δ = 180°
∴ 42 + 42 + measure of the vertex angle = 180
∴ 84 + measure of the vertex angle = 180
- Subtract 84 from both sides
∴ measure of the vertex angle = 96°
The measure of the vertex angle of the isosceles Δ is 96°
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Answer:
8 times the square root of 2
Step-by-step explanation:
Look up the 45-45-90 triangle
Answer:
Step-by-step explanation:
If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable. Also, a decrease in the value of one variable would cause a corresponding decrease in the other variable.
Given that x varies directly with y, if we introduce a constant of proportionality, k, the expression becomes
x = ky
If x = - 4 when y = 6, then
- 4 = 6k
k = - 4/6 = - 2/3
Therefore, the equation that relates x and y is
x = -2y/3
