Answer:
x = 18
y = 5
Step-by-step explanation:
From the figure attached,
'l' and 'm' are the parallel lines and two transversal lines are intersecting these parallel lines at points A, B and C.
Since, m∠ABC + (7x - 23)° = 180° [Supplementary angles]
m∠ABC = 180° - (7x - 23)°
m∠BCA = (11y - 1)° [Vertical angles]
m∠BAC = 49°
In ΔABC,
m∠ABC + m∠BAC + m∠CAB = 180°
180° - (7x - 23)° + 49° + (11y - 1) = 180°
-7x + 11y = -71
7x - 11y = 71 ------(1)
Since, sum of consecutive angles is 180°
Therefore, m(∠ABC) + (3x + 49)° = 180°
180° - (7x - 23)° + (3x + 49)° = 180°
-4x = -72
x = 18
From equation (1),
7(18) - 11y = 71
11y = 55
y = 5
Answer:
-4x^3 +x^2+4x-3
Step-by-step explanation:
Answer:
5042
Step-by-step explidkanation:
Answer: 97 meters
Step-by-step explanation:
Draw 2 right triangles KLM and ABC.
ML=3.2 m ( is a pole) KL =1.29 m( pole's shadow).
(The triangle KLM is right because we suppose that pole is staying vertically).
In triangle AB is tower's shadow= 39.25 m and BC is the height og tower=x meters?
Triangles KLM and ABC are similar .
So ML/KL=x/AB
3.2/1.29=x/39.25
x=3.2*39.25/1.29= approx 97.36 meters= 97 meters
You would use the Pythagorean Theorem (a²+b²=c²)
7²+15²=c²
49+225=c²
274=c²
√274=c
or, 16.55=c