Answer:
Step-by-step explanation:
1) (i) HG ≅ ST ; GI ≅ TR ; IH ≅ RS
ΔHGI ≅ ΔSTR by S S S congruent
(ii) ∠H ≅ ∠S ; HG ≅ ST ; ∠G ≅ ∠T
ΔHGI ≅ ΔSTR by A S A -> Angle Side Angle congruent.
3) LM ≅ XY ; MK ≅ YZ ; KL ≅ ZX
ΔLMK ≅ ΔXYZ Side Side Side congruent
∠K ≅ ∠Z ; KL ≅ ZX ; ∠L ≅ ∠X
ΔLMK ≅ ΔXYZ by Angle Side Angle congruent
Answer:
The slope intercept form would be y = 3x - 9
Step-by-step explanation:
To find this slone in slope intercept form, all we need to do is solve for y.
6x - 2y = 18 ---> Subtract 6x from both sides
-2y = -6x + 18 ----> Divide both sides by -2
y = 3x - 9
Ratio 1:2:3 means we have x, 2x and 3x as the three parts
x+2x+3x = 42
6x = 42
6x/6 = 42/6
x = 7
Since x = 7, this means 2x = 2*7 = 14 and 3x = 3*7 = 21
Dividing 42 into the ratio of 1:2:3 means we have 7:14:21 as the answer
If we divide all three parts of 7:14:21 by the GCF 7, we reduce it down to 1:2:3
As a check,
7+14+21 = 21+21 = 42
so it works out
Answer: 5.76 miles
Step-by-step explanation:
Let the distance between Victoria and Georgetown on the map be represented by x.
The information given in the question can then be formed into an expression which will be:
0.9/x = 10.5/67.2
Cross multiply
(10.5 × x) = 67.2 × 0.9
10.5x = 60.48
x = 60.48/10.5
x = 5.76
The answer is 5.76 miles
