The correct option is d.
To solve for x in similar triangles ABC and PQR, set up the proportion AB/PQ = DC/QR and solve for x.
To set up the proportion to solve for x in similar triangles ABC and PQR, we need to compare the corresponding sides. AB corresponds to PQ, so we can set up the proportion as follows:
AB/PQ = DC/QR
Substituting the given values, the proportion becomes:
18/12 = 24/(x-2)
Simplifying further, we can solve for x by cross multiplying and solving the resulting equation.
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The complete question is given below:
It is given that two triangles are similar, ABC and PQR. AB= 18 units and DC= 24 units. PQ= 12 units and QR= x-2 units. Set up a proportion to solve for x in the following similar triangles.
a. 18/24 = (x-2)/12
b. 18/12 = (x-2)/24
c. 18/12 = 24/(x-2)
d. 18/12 = 24/x - 2
Answer:
C
Step-by-step explanation:
I took the quiz and it was C! Hope this helps :)
variation and find t when w = 5.
A. T=5/12w; 5/12
B.t=5/3w;1/3
C.t=5/48w;5/192
D.t=5/12w;1/3
Answer:
Option B. t=5/3w ;1/3
Step-by-step explanation:
We are told that varies Inversely with
thus generally speaking
∝
since they are inverted, otherwise if they were proportionally varied then
∝
. This means that there is a constant value (
) for which
is inversely proportional to
and can be mathematically expressed as:
Eqn. (1)
Now since we are given the values of and
, we can plug them in Eqn. (1) and find our constant of proportionality
as follow:
Now that we have our constant we can find the new value for the second value of
as follow:
Therefore based on the options give, we can see that Option B. is correct since
and for
, then
Answer:
6.25
Step-by-step explanation:
75/12 = 6.25