Given:
m∠DAE = 30°
m∠CBE = 20°
To find:
The value of x.
Solution:
In rectangle, all angles are right angle.
m∠A = m∠B = m∠C = m∠D = 90°
m∠EDA + m∠EAB = 90°
30° + m∠EAB = 90°
m∠EAB = 90° - 30°
m∠EAB = 60°
Similarly, m∠CBE + m∠EBA = 90°
20° + m∠EBA = 90°
m∠EBA = 90° - 20°
m∠EBA = 70°
In triangle AEB,
Sum of all angles in a triangle = 180°
m∠EAB + m∠AEB +m∠EBA = 180°
60° + x° + 70° = 180°
130° + x° = 180°
Subtract 130° from both sides, we get
x° = 50°
x = 50
The value of x is 50.
Answer:
√27
Step-by-step explanation:
The triangles of the pyramid are equilateral triangles with sides of 6''.
Dividing a triangle into two equal parts we get two congruent right triangles, with a hypotenuse of 6'', one leg of 3'', and the other leg is the slant height (s). From Pythagorean theorem:
3² + s² = 6²
s² = 6² - 3²
s = √27
Answer:
5 months
Step-by-step explanation:
Jason's original weight = 120 pounds
Let the no. of months be m
If he gains 10 pounds in each moth , then his weight in m months will be = 10m
His total weight will be= 120+10m -----(1)
Gerardo's original weight = 150 pounds
If he gains 4 pounds in each month , then his weight in m months will me =4m
His total weight will be = 150+4m-----(2)
<u>Equating (1) ans(2)</u>
120+10m=150+4m
=>10m-4m=150-120
=>6m=30
=>m=
<u>=>m=5</u>
It will take 5 months for Jason to weigh the same as Gerardo
The answer to this question is - 3