Y directly proportional to WX and inversely to Z.
Y=k(WX)/Z
Where k is the constant of proportionality.
So, the first thing is to find the value of this constant.
k = YZ/WX
= (32×3)/(6×20)
= 96/120
= 0.8
The <span>equation that models the relationship will be;
Y = 0.8(WX/Z)</span>
Answer:
ABC - AAS
DEF - not enough information
GHI - not enough information
JKL - SAS
Step-by-step explanation:
SAS postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
AAS postulate states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.
HL postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.
ASA postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.
SSS postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
1. In triangles MNO and ABC, there are two congruent sides and non-included angle - AAS
2. In triangles MNO and DEF, there are two congruent sides - there is not enough information
3. In triangles MNO and GHI, there are three congruent angles - there is not enough information
4. In triangles MNO and JKL, there are two congruent sides and included angle - SAS
So if the bag contains half as many red marbles as blue ones, and there are 8 reds then there are 16 blues. 16 + 8= 24 if you want there to be 1/4 white marbles add 6. 6/30 is 1/4.
So the answer comes out to be 30 marbles in the bag
Answer:
The costs of the plan are $0.15 per minute and a monthly fee of $39
Step-by-step explanation:
Let
x ----> the number of minutes used
y ----> is the total cost
step 1
Find the slope of the linear equation
The formula to calculate the slope between two points is equal to
we have the ordered pairs
(100,54) and (660, 138)
substitute
step 2
Find the equation of the line in point slope form
we have
substitute
step 3
Convert to slope intercept form
Isolate the variable y
therefore
The costs of the plan are $0.15 per minute and a monthly fee of $39
Answer:
Step-by-step explanation:
we know that
The <u><em>Triangle Inequality Theorem</em></u> states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
so
Applying the Triangle Inequality Theorem
1) 
solve for n
Rewrite
2) 
therefore
