Answer:
1. x = 21
2. m∡ABC = 51°
Step-by-step explanation:
First problem, solve for x
the sum of inside angles of a triangle is 180
also the supplementary angle for L = 180 - 100 is 80°
now you can add all angles
80 + 2x - 11 + 2x + 27 = 180
4x + 96 = 180
4x = 84
x = 21
Second problem, solve for m∡ABC
the sum of inside angles of a triangle is 180
also the supplementary angle for C = 180 - 148 is 32°
now you can add all angles
31 + 2x - 15 + x - 5 = 180
3x + 12 = 180
3x = 168
x= 56,
now solve for m∡ABC = (x - 5)° = (56 - 5)° = 51°
The length of the altitude is 9.5 cm.
The altitude bisects the base of the equilateral triangle (this is because the two sides emerging from the vertex are equal). This gives us a right triangle with leg 5.5 and hypotenuse 11. We use the Pythagorean theorem:
5.5² + h² = 11²
30.25 + h² = 121
Subtract 30.25 from both sides:
30.25 + h² - 30.25 = 121 - 30.25
h² = 90.75
Take the square root of both sides:
√h² = √90.75
h = 9.5
Answer:
1) 3: 5
Step-by-step explanation:
Hope this helps!!! :)
H=(√3)*a/2 = 41.2
So, a=2*41.2/√3=47.6
Answer: The actual height of train = 4.896 meters.
Step-by-step explanation:
Since we have given that
Lina has a scale model of a modern train
Model is created at a scale is given by
1:48
Height of the model train = 102 millimeters
We need to find the actual height of the train.
Since there is direct variation between model and actual height of the train.
According to question,
Hence, the actual height of train = 4.896 meters.
