The value of <em>x</em> where by exterior angles theorem, ∠DCO equals 2·x, 69° equals the sum of ∠DCO and x° is <em>x </em>= 23°
<h3>What is the exterior angles theorem?</h3>
The exterior angles theorem states that the exterior angle of a triangle is equal to the sum of the opposite interior angles.
The given parameters are;
Points on the circle are; ABCD
Straight lines = AOBE and DCE
Segment CO = Segment CE
∠AOD = 69°
∠CEO = x°
∠OCD = ∠ODC base angles of isosceles triangle
69° = ∠x° + ∠ODC exterior angle of a triangle
∠DOC = 180 - 2×∠ODC (Angle sum property of a triangle)
180 - 2×∠ODC + x° + 69° = 180° (Sum of angles on a straight line are supplementary)
x° + 69° - 2×∠ODC = 0
∠ODC = 2·x° (exterior angle of a triangle is equal to the sum of the opposite interior angles)
69° = x° + ∠ODC = x° + 2·x° = 3·x° (substitution property of equality)
69° = 3·x°
x = 69° ÷ 3 = 23°
Learn more about angles in a triangle here:
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Doug because his sequence follows a rule of multiplying by -1/2
Hope I got it right for your sake.
Answer:
2x - 3y
Step-by-step explanation:
Step 1 :
1
Simplify —
4
Equation at the end of step 1 :
1
0 - (— • (12y - 8x))
4
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
12y - 8x = -4 • (2x - 3y)
Equation at the end of step 3 :
0 - (3y - 2x)
Step 4 :
Final result :
2x - 3y
Processing ends successfully
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Answer:
Step-by-step explanation:
From the information on 60 students we write frequency distribution as
x 1 2 3 4 5 6 7 total
f 13 22 15 6 3 0 1 60
C 13 35 50 56 59 59 60
xf 13 44 45 24 15 0 7 148
x^2f 13 88 135 96 75 0 49 456
Mean = 2.67
Var = 445.92
Std dev = 21.21
I quartile = 2
III quartile = 3
20% have atmost 1
Answer:
This is convincing evidence that the responses differ between these countries.
Step-by-step explanation:
The data in this study came from separate samples, so a test for homogeneity is appropriate. Since the P-value is less than the significance level, we should reject the null hypothesis that the distribution of responses is the same in both countries.
