2 angles are Complementary, if the sum of their measures = 90°.
Let the 2 angles be A and B, and let their measures be m(A)=a, m(B)=b.
Let A be the larger angle.
"the larger angle is six more than three times the smaller angle."
can be 'translated' into algebra as: a = 6 + 3b
Also, since A and B are complementary, we have a+b=90°.
substitute a=6+3b in the second equation:
a+b=90°
(6°+3b+b)=90°
4b=90°-6°
b=84°/4=21°
Then, a = 90°-21°=69°
Answer: a= 69°, b=21°
Answer: a = c^(1/2) which is the first answer choice of the list
Work Shown:
a = b^(2/3) ... given equation
a = (c^(3/4))^(2/3) ... replace b with c^(3/4)
a = c^((3/4)*(2/3)) .... multiply exponents
a = c^(1/2) .... Simplify; note the 3's cancel, also 2/4 turns into 1/2
Answer:
810
Step-by-step explanation:
450 × 1.80 = 810
The 1 represents how there is no markdown and the .80 is the 80% being marked up.
I think there is a more specific equation for this than the one I showed, but this was my way of solving these questions without giving myself a headache
Answer:
They represent a number that you don't know or need to work out.
Step-by-step explanation:
If you need further explanation, let me know!
Answer:
<h2>
y = 3x - 1</h2>
Step-by-step explanation:
Two lines are perpendicular if the product of theirs slopes is equal -1:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇒ m₁×m₂ = -1
y = -1/3x + 7 ⇒ m₁=-1/3
-1/3×m₂ = -1 ⇒ m₂ = 3
The y-intercept is b=-1 so the equation in slope-intercept form:
y = 3x - 1
