Your possibility is pretty slim, but you still have a chance of choosing either of the two. So you would add them all up so 49 total. 49 7/8
For direct variation:
y = kx
9 = 12k
k = 9/12 = 3/4
Answer:
W ≈ 5.2 cm
Step-by-step explanation:
Represent the length and width by L and W respectively.
Then L * W = 81 cm^2, and L = 3W.
Substituting 3W for L in the first equation, we get:
3W * W - 81 = 0, or 3W^2 - 81 = 0.
To make it easier to find the final answer, rewrite 3W^2 - 81 = 0 as
81
W^2 = ------- = 27
3
Then W (the width) is the positive square root of 27, or W ≈ 5.2 cm
Answer:
k = 
Step-by-step explanation:
Given that r varies directly as p then the equation relating them is
r = kp ← k is the constant of variation
To find k use the condition r = 3 when p = 15, then
3 = 15k ( divide both sides by 15 )
= k , that is
k =
Answer:
D, E, F, B, C, A, G
Step-by-step explanation:
D is the midpoint of AB, E is the midpoint of BC and DB || FC
This is given information from the diagram and statement.
∠B ≅ ∠FCE
Since DB and FC are parallel, ∠B and ∠FCE are alternate interior angles, and therefore congruent.
∠BED ≅ ∠CEF
∠BED and ∠CEF are vertical angles, and therefore congruent.
ΔBED ≅ ΔCEF
By angle-side-angle, these triangles are congruent.
DE ≅ FE, DB ≅ FC
Corresponding parts of congruent triangles are congruent.
AD ≅ DB, DB ≅ FC, therefore AD ≅ FC
From transitive property of congruence.
ADFC is a parallelogram
Since AD and FC are congruent and parallel, ADFC is a parallelogram.
DE is parallel to AC
Since ADFC is a parallelogram, DE is parallel to AC by definition of a parallelogram.
