Triangle ABC is an isosceles triangle.
Solution:
Given data:
∠ABC = 70° and ∠ACD = 55°
<em>If two parallel lines are cut by a transversal, then alternate interior angles are congruent.</em>
m∠BAC = m∠ACD
m∠BAC = 55°
<em>Sum of the angles in a straight line add up to 180°.</em>
m∠ACD + m∠ACB + m∠ABC = 180°
55° + m∠ACB + 70° = 180°
m∠ACB + 125° = 180°
Subtract 125° from both sides, we get
m∠ACB = 55°
In triangle ABC,
∠BAC = 55° and ∠ACB = 55°
∠BAC = ∠ACB
Two angles in the triangle are equal.
Therefor triangle ABC is an isosceles triangle.
Answer:
16 people
Step-by-step explanation:
Given that :
Number of people to tour = 80
Number per group = 16
Number of groups = 4
Total number of people who make up the entire groups :
Number per group * number of groups
16 * 4 = 64
The number of people in the last tour group :
80 - 64
= 16 people
Answer:
10
10.85
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
18/2
9+5
<u>14</u>
Answer:
y = lnx / ln 7.
Step-by-step explanation:
x = 7^y
Take logarithms of both sides:
ln x = ln 7^y
ln x = y ln 7 ( because ln a^b = b ln a. One of the Laws of Logarithms).
y = lnx / ln 7.
