Answer:
x = 10°
Step-by-step explanation:
a). Since, opposite angles of a cyclic quadrilateral are supplementary angles"
Therefore, in cyclic quadrilateral ABDE,
m∠ABD + m∠AED = 180°
110° + m∠AED = 180°
m∠AED = 180° - 110°
= 70°
b). AD = ED [Given]
m∠EAD = m∠AED [Since, opposite angles of equal sides are equal in measure]
m∠EAD = m∠AED = 70°
By triangle sum theorem in ΔABD,
m∠BAD + m∠ABD + m∠ADB = 180°
m∠BAD + 110° + 40° = 180°
m∠BAD = 180 - 150
= 30°
m∠AEB = m∠AED + m∠DAB [By angles addition postulate]
m∠AEB = 70° + 30°
= 100°
By triangle sum theorem in the large triangle,
x° + m∠AEB + m∠EAB = 180°
x° + 100° + 70° = 180°
x = 180 - 170
x = 10°
Based on the information given, it should be noted that the residual for the two points will be 0.087 and -0.033 respectively.
<h3>How to find the residual.</h3>
From the complete information, the predicted value for the point (3, 0.42) will be:
= (0.091 × 3) + 0.060
= 0.0273 + 0.060
= 0.333
Therefore, the residual will be:
= 0.42 - 0.333 = 0.087
The predicted value for the point (3, 0.3) will be:
y = 0.091x + 0.060.
= (0.091 × 3) + 0.060.
= 0.333
Therefore, the residual will be:
= 0.3 - 0.333 = -0.033
Therefore, the residual for the two points will be 0.087 and -0.333 respectively.
Learn more about residuals on:
brainly.com/question/26255019
Answer:
a: 12
B: 5
c: 15
Step-by-step explanation: because you have to multiply and divide but i might have the wrong answerr :((((
The perimeter of the pentagon with apothem of 5cm is 28.87cm
<h3>How to calculate the perimeter of a pentagon</h3>
The sum of all the external sides of the pentagon is its perimeter.
First we need to calculate the half of one of its sides using the SOH CAH TOA
tan 30 = x/5
x = 5 tan 30
x = 2.89
One of the sides = 2(2.89) = 5.77 cm
Perimeter of th pentagon = 5(5.77) = 28.87
Hence the perimeter of the pentagon with apothem of 5cm is 28.87cm
Learn more on perimeter of pentagon here: brainly.com/question/11484726
Answer:
A)0.5
Step-by-step explanation:
We can see in the graph , that it is bell-shaped along x =2. A bell-shaped graph along one value is called symmetric graph and it represents a normal distribution.
Since, the give graph is symmetric around x=2, so the mean of the data is 2.
The point immediate left to the mean represents x-σ
so,
2 - σ = 1.5
So,
σ = 0.5
The sigma represents standard deviation.
Hence, Option A is correct ..
