Answer:
115.2 other solutions is 576/5, 115 1/5
Step by step explanation:
To divide by a fraction, multiply by the reciprocal of the fraction
2.4 x (12 x 4)
Then multiply 12 and 4 which is 48
2.4 x 48
Then multiply 2.4 x 48
which is 115.2
Answer:
The scale used on his map is <u>150 miles : 2 inches</u>.
Step-by-step explanation:
Given:
Ted knows the actual distance between two cities is 150 miles. His map shows a distance of 2 inches between these cities.
Now, to find the scale Ted used on his map.
The actual distance Ted know between two cities = 150 miles.
The distance on map between these cities = 2 inches.
So, to get the scale used on his map:
Therefore, the scale used on his map is 150 miles : 2 inches.
The solution is x>18.
The problem tells us that 3 less than a number: x-3
is more than 15. >15
So the inequality is x-3>15. When we isolate x to simply the inequality, we add 3 to both sides, to get x>18.
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Answer:
4x°= 4x18= 72°=measure of angle SQR
Step-by-step explanation:
6x +4x = 180
10x = 180
x = 180/10
x= 18°
because m L SQR =4x°
now place the value of x in the above equation
m L SQR = 4 x(18°)= 72°
Answer:
Option (1)
Step-by-step explanation:
From the picture attached,
Triangle CAB is a right triangle.
Therefore, m∠1 = 90°
Similarly, m∠ACD = 90°
m∠ACD = m∠ACB + m∠BCD = 90°
= m∠3 + m∠4 = 90°
Since m∠4 = 35°,
m∠3 + 35° = 90°
m∠3 = 90° - 35°
= 55°
In the triangle ABC,
m∠ACB + m∠CBA + m∠BAC = 180° [Property of a triangle]
m∠3 + m∠2 + m∠1 = 180°
55° + m∠2 + 90° = 180°
m∠2 + 145° = 180°
m∠2 = 180° - 145°
= 35°
Since, AB║CD and BC is a transverse,
Therefore, m∠2 = m∠4 = 35° [Alternate interior angles]
Option (1) is the correct option.
