QP=24 cm
RS=11.25 cm
QS=18.75 cm
<u>Explanation</u>:
Given that TQ bisects <RTP
(1)
consider ΔRQS and ΔRPT
QS||PT,RP and RT are transversals
(alternate angles)(2)
comparing (1) and (2)
and triangle SQT is isocelus
Therefore SQ=ST(sides opposite to equal angles in an isocelus triangle)
Therefore <RQS=<RPT(corresponding angles)
<RSQ=<RTP(corresponding angles)
therefore by AA criterion for similarity
ΔRQS~ΔRPT
According to the property of similar triangles
Answer:
part of the garden will be planted in onions and squash combined.
Step-by-step explanation:
Given:
For your vegetable garden, you plan to plant 5 12 of it in corn, 1 6 in different kinds of beans, and 1 12 in tomatoes.
You will plant the remainder equally in eggplant, onions, and squash.
Now, to find the part of garden that will be planted in onions and squash combined.
Part of garden plan for planting corn =
Part of garden plan for planting kinds of bean =
Part of garden plan for planting tomatoes =
So, adding all the parts of corn, beans and tomatoes:
Now, to get the rest of the parts of garden use to plant eggplant, onions, and squash we subtract from 1 whole:
As, given planting the remainder equally in eggplant, onions, and squash.
So, each will be planted in part of:
On simplifying it:
.
Thus, part of the garden for each eggplant, onions, and squash.
Now, to get the part of the garden will be planted in onions and squash combined we add part of garden planting for onions and
of squash:
Therefore, part of the garden will be planted in onions and squash combined.