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:
Step-by-step explanation:
Required
Represent the relationship between population of girls and boys
From the question, we have that
<em>Given that y is greater than x in the classroom;</em>
<em>One of the keywords in the given data is</em><em> "Greater than"</em>
The inequality to represent the system is the greater than sign;
In other words, >
Bringing x, y and > together to form a complete inequality; we have
Replace Girls with y and Boys with x
Answer:
$11.8525
Step-by-step explanation:
To find the total price of purchase including sales tax, we need to add sales tax to our total. This can be done as follows: Purchase price + percentage of purchase price as according to sales tax. In the case of your problem, this takes the form of $11 + 0.0775(11). This expression is equivalent to 11.8525.
Lets put this into an equation
x + 1/5 * x = 36
1.2x = 36
x = 30
1/5x = 6
So our final answer is 6 and 30.
Please mark me the Brainliest if I am correct.
Factor 3x^2 +16x -12
3x^2 +16x -12
=(3x-2) (x+6)
Answer
(3x-2) (x+6)
