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:
30000+0+400+0+5
6000000+800000+0+4000+100+50+2
Step-by-step explanation:
hope it's right plz mark me brainlists
Answer:
¾
Step-by-step explanation:
More than 3: 9
P(more than 3) = 9/12 = ¾
Answer:
-9
Step-by-step explanation:
Four consecutive odd integers be (2x - 3),(2x -1),(2x + 1),(2x + 3)
2x-3 + 2x - 1 +2x+1 + 2x+3 = -48
2x + 2x + 2x +2x - 3 - 1 + 3 + 1 = -48
8x = -48
x = -48/8
x = -6
Least of these integer = 2x + 3 = 2*(-6) + 3 = -12 + 3 = -9
This is an acute scalene triangle
The triangle is acute since all three angles (58, 57, 65) are less than 90 degrees
The triangle is scalene as the angles are all different. So this leads to the sides being different lengths. No two sides are the same length.