Answer:
a). m∠AED = 70°
b). x = 10°
Step-by-step explanation:
a). Quadrilateral ABDE is a cyclic quadrilateral.
Therefore, by the theorem of cyclic quadrilateral,
Sum of either pair of opposite angle is 180°
m(∠AED) + m(∠ABD) = 180°
m(∠AED) = 180° - 110°
m(∠AED) = 70°
Since, ∠AED ≅ ∠EAD
Therefore, m∠AED = m∠EAD = 70°
b). By triangle sum theorem in ΔABD,
m∠ABD + m∠BDA + m∠DAB = 180°
110° + 40° + m∠DAB = 180°
m∠DAB = 180° - 150°
m∠DAB = 30°
m∠BAE = m∠EAD + m∠BAD
= 70° + 30° = 100°
By angle sum theorem in ΔACE,
m∠EAC + m∠AEC + m∠ACE = 180°
100° + 70° + x° = 180°
x = 180° - 170°
x = 10°
Answer:
x = 7ft
Step-by-step explanation:
Answer:
Step-by-step explanation:
In order to answer this question, you need to remember the following:
1. The word "times" indicates multiplication.
2. The word "at least" indicates an inequality and you must use the symbol "greater than or equal to". This is:
Then, for this exercise let be "x" represents the number mentioned.
Based on the explanation given before, you know that "Eight times a number" means that the number "x" is multiplied by 8. Then, it can be represented with the following expression:
Therefore, "Eight times a number is at least 16" can be represented with the following Inequality:
I believe the answer is B
Hope This Helps! Good Luck!!
Answer:
x=1
Z=35.4965
assuming you want y to be the height, y=5.916
Step-by-step explanation:
x/height=height/35
35x=y^2
using Pythagorean theorem
y^2+x^2=6^2
y^2+35^2=z^2
substituting for y^2
35x+x^2=6^2
x^2+35x-36=0
(x+36)(x-1)=0
x=1
y^2+x^2=6^2
substitute
y^2+1=36
y^2=35
y=5.916
y^2+35^2=z^2
substitute
35+1225=z^2
z^2=1260
z=35.4965