Answer:
Each angle within that right angle measure 45 degrees.
Step-by-step explanation:
Given:
The two pieces of furniture forms Right angle
The Right angle is bisected by another bar
To Find:
what would each angle measure within that right angle = ?
Solution:
The Two furniture are attached such that the ange betwwn them is right angle.
The right angle measures 90 degrees
Then an another bar bisects this right angle.
The word bisects means divided into two equal halves
so bisecting the right angle means, bisecting 90 degrees
=> 
=>45 degrees
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:
B. (41,100)
Step-by-step explanation:
Midpoint:

Answer:
528
Step-by-step explanation: