Answer:
∠ B = 19°
Step-by-step explanation:
note ∠ C = 90° ( angle in a semi- circle )
The sum of the 3 angles in the triangle = 180°, thus
∠ B = 180° - (90 + 71)° = 180° - 161° = 19°
Answer:
21 pencils for Nick and 63 pencils for Lance
Step-by-step explanation:
- Lance is said to have 3 times the pencils Nick has.
- Let's keep the number of pencils Nick has as x.
- If Nick has x pencils that means Lance has 3x pencils.
- The total number of pencils present is 84.
Now let's make an equation out of the information above:
3x + x = 84
Now solve for x.
3x + x = 84
4x = 84
x = 84/4
x = 21
So Nick has 21 pencils
Now for Lance:
3x
3 * (21) = 63
So Lance has 63 pencils
63 + 21 = 84 pencils
Answer:
I can't see them but whichever one is 157 is the correct angle
Step-by-step explanation:
Supplementary angles are angles that equal 180 degrees.
180 - 33 = 157
So whichever angle equals 157 degrees, that is the correct one
Answer:
y = 1/2x + 1
Step-by-step explanation:
In order to evaluate a slope that is perpendicular to the given equation, you need to find the opposite reciprocal of the original slope. This means you take the original slope, flip the numerator and the denominator, and change the sign in front.
-2 ⇒ 1/2
Next, we need to substitute the information given into the point-slope formula.
The point-slope formula is:
y - y₁ = m(x - x₁)
y - 1 = 1/2(x - 0)
y - 1 = 1/2x
y = 1/2x + 1
Therefore, the line perpendicular to y = -2x + 2 is y = 1/2x + 1.
Answer:
6x−12x^2
Step-by-step explanation:
