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santana647
21.03.2020 •
Mathematics
This is a 2 part question. Need help with both questions please! Use the triangle for both parts of the question. Click on the flip picture button if needed to see pic better.
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Ответ:
Part A) Option A. QR= 3 cm
Part B) Option B. SV=6.5 cm
Step-by-step explanation:
step 1
Find the length of segment QR
we know that
If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
so
In this problem Triangle QRW and Triangle QSV are similar by AA Similarity Theorem
so
we have
substitute the given values
solve for QR
step 2
Find the length side SV
we know that
The Mid-segment Theorem states that the mid-segment connecting the midpoints of two sides of a triangle is parallel to the third side of the triangle, and the length of this mid-segment is half the length of the third side
so
In this problem
S is the mid-point side QT and V is the mid-point side QU
therefore
SV is parallel to TU
and
so
Ответ:
19. A)3cm
20. B)6.5cm
Step-by-step explanation:
Given that S is the midpoint of QT and V the midpoint of QU, we can use the laws of enlargement to find the value of QR:
Using ratios:
The length of QR:
Hence, QR is 3cm
b. Again we use the laws of enlargement to find the value of SV :
Hence, the length of SV is 6.5cm
Ответ:
15 Nickels = 75 Cents (5 × 3 = 15, representing that there are three times as many Nickels as Pennies)
3 Dimes = 30 Cents (5 - 2 = 3, representing that there are 2 less Dimes than Pennies)
Total = $1:10