Answer:
42
Step-by-step explanation:
All you have to do is multiply all the choices together so 7x3 is 21x2 is 42. Or you can make a tree diagram.
We know that
Pia printed two trail maps:
Trail on the first map = 8 cm
Trail on the second map = 6 cm
Scale on first map = 1 cm : 2 km
A) What is the scale factor from the map to the actual trail?
For the first map, the scale factor is 1 cm: 2km.
Therefore
the actual trail is 8 centimeters * 2 kilometers = 16 km.
The scale factor of the second map is 16 km / 6 cm = 2.67 km / cm
the scale on the 2nd map is 1 cm represent 2.67 km in the actual trail
B) The length of the actual trail is 16 kilometers.
C) What is the scale factor from the first map to the second map?
=2/2.67---------> 0.75 km/km
the scale factor from the first map to the second map is 0.75 km in the first map is 1 km in the second map
D) What are the side lengths of the landmark on the second map?
we know that
in the first map the side lengths of the landmark are 3 mm, 4 mm, and 5 mm
step 1
convert mm in the map1 to Km in the actual
the scale factor is 1 cm: 2km
for 3 mm--------> 0.3 cm
1 cm------------> 2 km
0.3 cm---------> X
X=0.3*2-------> 0.6 km
for 4 mm--------> 0.4 cm
1 cm------------> 2 km
0.4 cm---------> X
X=0.4*2-------> 0.8 km
for 5 mm--------> 0.5 cm
1 cm------------> 2 km
0.5 cm---------> X
X=0.5*2-------> 1 km
step 2
convert Km in the actual to cm in the map 2
the scale on the 2nd map is 1 cm represent 2.67 km in the actual trail
for 0.6 km
1 cm------------> 2.67 km
X-----------------> 0.6 Km
X=0.6/2.67---------> x=0.2247 cm------> 2.25 mm
for 0.8 km
1 cm------------> 2.67 km
X-----------------> 0.8 Km
X=0.8/2.67---------> x=0.2996 cm------> 3 mm
for 1 km
1 cm------------> 2.67 km
X-----------------> 1 Km
X=1/2.67---------> x=0.3745 cm------> 3.75 mm
the answer Part D) is
the side lengths of the landmark on the second map are
2.25 mm 3 mm and 3.75 mm
Answer:
Step-by-step explanation:
Let x = the number of $20 bills.
Then x + 6 = the number of $5 bills and
20x + 5(x + 6) = 455
x = 17 = number of $20 bills
x + 6 = 17 + 6 = 23 = number of $5 bills
Check:
OK.
Answer:
Step-by-step explanation:
If MP bisects ∠BMS, then the line MP divides <BMS equally;
The adition postulate if therefore true;
<BMP +< PMS = <BMS and <BMP = < PMS
The equation becomes;
<BMP +< BMP= <BMS
2 <BMP = <BMS
2(2x+9) = 7x - 3
4x+18 = 7x-3
collect like terms
4x-7x = -3-18
-3x = -21
x = 21/3
x = 7
Since <BMP = < PMS 2x+9
< PMS = 2(7)+9
< PMS = 14+9
< PMS = 23
Hence the value of < PMS is 23
