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:426.6
Step-by-step explanation:
.138 x =.088(x - 69.7) + .394(69.7)
.138 x - .088x = 69.7(.394 - .088)
.05x = 21.3282
/
x = 426.564
This rounds to x = 426.6
<h2><u>Give me brainliest</u></h2>
So the mean without 894 would be 52.57
with the 894, the mean would be 157.75
idk what your options are, but there ya go
Answer:
6 in
Step-by-step explanation:
The question is incomplete. Here is the complete question.
Juanita and samuel are planning a pizza party. they order a rectangle sheet pizza that measures 21 inches by 36 inches.? they tell the pizza maker not to cut it because they want to cut it themselves. All pieces of pizza must be square with none left over. what is the side length of the largest square pieces into which juanita and samuel can cut the pizza?
First we need to calculate the area of the rectangular pizza.
Area of a rectangle = Length × Breadth
Area of the rectangular pizza= 21×36
Area of the rectangular pizza = 756in²
Next is to equate the area of the rectangle to the area of a square.
Area of a square = L²
Therefore L² = 756
L = √756
L = √36×21
L = √36×√21
L = 6√21
This means that the length if the largest square they can cut is 6in (ignoring the irrational part of the length gotten)
