Answer:
Both are similar by SAS similarity.
This SAS similarity is equivalent to the congruence.
Step-by-step explanation:
Step 1:
To prove that ACB and HIG as similar triangles.
We have to look upon the corresponding sides.
SAS= Side angle sides , there the angle must be in between two sides.
ACB = HIG
Lets work on the corresponding sides.
IG/AC = IH/AC
=
Reducing each to lowest form, we divide numerator and denominator by 3 for the 1st fraction and by 4 for the 2nd fraction.
We have
=
Both sides are equal.
So its proved that both are similar with SAS similarity theorem.
Answer:
See below
Step-by-step explanation:
x = 3 cos (-5pi/3) = 1.5
y = 3 sin (-5pi/3) = 2.598
Answer:
a. y = 3 × (x + 2)(x - 8)
b. y = 3·(x - 3)² - 75
c) y = 3·x² - 18·x - 48
Step-by-step explanation:
The x-intercept of the quadratic equation are (-2, 0), (8, 0)
The stretch of the quadratic equation = 3
We have;
a. The factored form y = 3 × (x + 2)(x - 8)
b. From the vertex form, we have;
y = 3 × (x + 2)(x - 8) = 3·x² - 18·x - 48
y = 3·x² - 18·x - 48
The vertex form a(x - h)² + k
Where;
h = -b/(2·a) = 18/6 = 3
h = 3
k = c - b²/(4·a) = -48 - (18²)/12 = -75
The vertex form 3·(x - 3)² - 75
c) The standard form of the quadratic equation, y = a·x² + b·x + c
The standard form of the quadratic equation is y = 3·x² - 18·x - 48.
Answer:
1. length = 88 m., 2. width = 75 cm.
Step-by-step explanation:
To find perimeter, we need to add together the measure of all of the sides. Since we now that the garden is a rectangle, we know that two of the sides are the same length and the other 2 sides are the same length.
The equation for finding perimeter in this question: P = w + w + l + l
let's put the values we know into the equation.
318 = 71 + 71 + l + l
Combine like terms: 318 = 142 + 2l
Subtract 142 from both sides to isolate the 2l: 176 = 2l
Divide both sides by 2 to isolate the l: 88 = l
To find area, you use this equation: A = l * w
Let's put the values we know into the equation
6,675 = 89 * w
Divide both sides by 89 to isolate the w
75 = w