SAS similarity
two triangles are similar when they<span> have </span>corresponding<span> angles that are </span>congruent<span> and corresponding sides with identical </span>ratios.
According to our case, <span>the ratios of two pairs of corresponding sides are
MN / NL = YZ / ZX, and the corresponding angles are </span><span>∠N ≅ ∠Z</span>
1 is 6
2 is 6
3 is 6
4 is 6
5 is 6
6 is 6
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
+ = 1 ( multiply through by 2 to clear the fractions )
x + y = 2 ( subtract x from both sides )
y = - x + 2 ← in slope- intercept form
(a) with slope m = - 1
(b) with y- intercept c = 2
(c)
Parallel lines have equal slopes, thus
y = - x + c ← is the partial equation of PQ
To find c substitute (2, - 8) into the partial equation
- 8 = - 2 + c ⇒ c = - 8 + 2 = - 6
y = - x - 6 ← equation of PQ
To show (- 1, - 5) lies on PQ, substitute x = - 1 into the equation and evaluate for y.
y = - (- 1) - 6 = 1 - 6 = - 5 ← the given y- coordinate
Thus PQ passes through (- 1, - 5 )
The perimeter of the rectangle is 6 in
<u>Explanation:</u>
Given:
Width of the frame, x = 1 in
length, L = 2 X width
L = 2 X 1 = 2 in
The frame is rectangular in shape. So the perimeter would be
= 2(L+ x)
= 2( 2 + 1)
= 6 in
Therefore, the perimeter of the rectangle is 6 in
g(x) = -3x² - 2x + 3
g(-2) = -3(-2)² - 2(-2) + 3
g(-2) = -12 + 4 + 3 = -5