Answer:
1. Yes
∆RST ~ ∆WSX
by SAS
2. Yes
∆ABC ~ ∆PQR
by SSS
3. Yes
∆STU ~ ∆JPM
by SAS
4. Yes
∆DJK ~ ∆PZR
by SAS
5. Yes
∆RTU ~ ∆STL
by SAS
5. Yes
∆JKL ~ ∆XYW
by SAS
6. No
7. Yes
∆BEF ~ ∆NML
by SAS
8. Yes
∆GHI ~ ∆QRS
by SSS
9. x=22
10. x=12
Step-by-step explanation:
1. RS/WS=ST/SX and m<RST=m<WSX
2. AB/PQ=8/6=4/3
BC/QR=AC/PR=12/9=4/3
AB/PQ=BC/QR=AC/PR
3. ST/JP=10/15=2/3
SU/JM=14/21=2/3
ST/JP=2/3=SU/JM
and m<TSU=70°=m<PJM
4. DK/PR=8/4=2
JK/ZR=18/9=2
DK/PR=2=JK/ZR
and m<DKJ=65°=m<PRZ
5. RT/ST=UT/LT
and m<RTU=m<STL
6. KL/YW=20/18=10/9
JL/XW=36/24=3/2
KL/YW=10/9≠3/2=JL/XW
7. BF/NL=24/16=3/2
BE/NM=39/26=3/2
BF/NL=3/2=BE/NM
and m<EBF=m<MNL
8. GH/QR=32/20=8/5
HI/RS=40/25=8/5
GI/QS=24/15=8/5
GH/QR=HI/RS=GI/QS=8/5
9. x/33=18/27
Simplifying the fraction on the right side of the equation:
x/33=2/3
Solving for x: Multiplying both sides of the equation by 33:
33(x/33)=33(2/3)
x=11(2)
x=22
10. x/16=9/12
Simplifying the fraction on the right side of the equation:
x/16=3/4
Solving for x: Multiplying both sides of the equation by 16:
16(x/16)=16(3/4)
x=4(3)
x=12
Answer:
c. quadrilateral
Step-by-step explanation:
All of the sides are different lengths, so the quadrilateral cannot be a parallelogram, rhombus, or square.
Its best descriptor is <em>parallelogram</em>.
_____
A <em>parallelogram</em> has opposite sides parallel and congruent. A <em>rhombus</em> also has adjacent sides congruent. A <em>square</em> is a special case of rhombus in which the corner angles are right angles.
Answer:
Look below
Step-by-step explanation:
Ok, you got a Quadrilateral with the side lengths 6, 9, 9, 12
The shortest of B is 2
Find the scale factor of the A to B
6 -> 2
6/2 = 3
Scale factor is 3
Now divide all the sides by scale factor
6/3, 9/3, 9/3, 12/3 = 2, 3, 3, 4
Add them all together to get the perimeter
2+3+3+4 = 12
Perimeter of B is 12
Answer:
5.3
Step-by-step explanation:
a² + b² =² c² the Pythagorean theorem
RQ² + RS² = QS² Solve RS
6² + RS² = 8²
RS² = 64 -36
RS² = 28
RS = √28 28 is slightly > 25 and since √25 =5
RS = 5.3 actually 5.2915 to a few more significant digits
Answer:its easy
Step-by-step just do 2 rows of 5
