We can tell this is an isosceles triangle due to the sticks meaning the base angles are equal so the measurement of ACB would be the same as ABC so it would measure x
Answer:
Yes, you're correct.
Step-by-step explanation:
Answer:
<em>x = 9</em>
<em>y = 36</em>
Step-by-step explanation:
<u>Lines and Angles</u>
Triangle CDE is isosceles. This means the two angles of the base DE are congruent (have the same measure):
7x + 1 = 4x + 28
Subtracting 4x + 1:
3x = 27
Dividing by 3:
x = 9
Substituting in the expression for the angles:
7x + 1 = 7*9 + 1 = 64°
The angles are 64° and 64°. The other internal angle at vertex C is 180°-64°-64°=52°. This angle is congruent with its vertical angle in the triangle ABC. We are given another angle of 43°. Thus the measure of angle A is 180°-52°-43°=85°
This last angle is equal to the expression of y:
-2(3 - y) + 19 = 85
Subtracting 19:
-2(3 - y) = 66
Removing the parentheses:
-6 + 2y = 66
Adding 6:
2y = 72
Dividing by 2:
y = 36
Final answer:
x = 9
y = 36
A. P[TTTTH] = .55^4*.45 = .0412
<span>b. P[HHHT] = .45^4*.55 = .0226 </span>
<span>c. 1/.45 = 2.222 </span>
<span>d. 1/.55 = 1.818</span>
