Answer:
<em>Measure of angle B: 76°</em>
<em>Measure of angle C: 76°</em>
<em>Measure of angle A: 28°</em>
Step-by-step explanation:
<u>Equations</u>
Let's call
x = measure of angle B
Since angle B is congruent with angle C:
x = measure of angle C
The sum of the angles in a triangle is 180°:
180 - x - x = 180 - 2x = measure of angle A
It's given the measure of angle B is 20 more than twice the measure of angle A, thus:
x = 20 + 2(180 - 2x)
Operating the parentheses:
x = 20 + 360 - 4x
Adding 4x:
5x = 380
Dividing by 5:
x = 380/5
x = 76°
Measure of angle B: 76°
Measure of angle C: 76°
Measure of angle A: 180 - 2*76°= 28°
Answer: 55 degrees after 15 minutes.
Step-by-step explanation: 15 x .03 = .45
.45 x 100 = 45
100 - 45 = 55
Answer:
48%
Step-by-step explanation:
let's say the initial price of an item is $100
if you take 40% off then you pay only $60
now if you take 20% off 60 you pay $48
$48 is 48% of 100
Answer:
slope = - 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2, 0) and (x₂, y₂ ) = (- 6, 8)
m = 
= 
= - 1
<span> we have that
standard form of equation for parabola:
(x-h)^2=-4p(y-k)
(h,k) --------->being the (x,y) coordinates of the vertex.
Parabola opens downwards because focus is below vertex on the axis of symmetry.
For given problem:
</span><span>vertex: (-3,2)
axis of symmetry: x=-3
p=distance from vertex to focus on the axis of symmetry=2-(-1)=3
4p=12
Directrix: y=2+p=5
Equation:
(x+3)^2=-12(y-2)
the answer is </span>(x+3)^2=-12(y-2)
