Answer:
d = 5.4
Step-by-step explanation:
Pythagorean theorem: a^2 + b^2 = c^2
a = 2
b = 5
2^2 + 5^2 = c^2
4 + 25 = c^2
29 = c^2
c = 5.4
The line n intersects line m and at the point of intersection two angles are formed, which are 3x and x.
Please note that angles on a straight line equals 180 degrees. That means angle 3x and angle x both sum up to 180. This can be expressed as;
3x + x = 180
4x = 180
Divide both sides of the equation by 4 (to eliminate the 4 on the left hand side and isolate the x)
x = 45
Answer:
900
Step-by-step explanation:
5 people are said to occupy a 1000square feet space
That means we have to look out for how many 1000 square feets are in 180000
That would be 180000/1000 = 180
But 1000 square occupies 5 persons and there are 180 1000square which can occupy 5 people in 180 000 square.
Hence 180 × 5= 900 is the number of persons that the hall can occupy.
Answer: Two figures are said to be similar if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal.
Step-by-step explanation: