Answer:
There are 20 boys
Step-by-step explanation:
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:
The population of this city in 13 years is 440,550.
Step-by-step explanation:
Given:
Suppose a city with population 300, 000 has been growing at a rate of 3% per year.
Now, to find the population of this city in 13 years.
Let the population of this city in 13 years be 
Population (
) = 300,000.
Rate per year (
) = 3%.
Time (
) = 13 years.
Now, we put formula to get the population of the city in 13 years:
Therefore, the population of this city in 13 years is 440,550.
Step-by-step explanation:
y - 5 = 3(x - 1)
y - 5 = 3x - 3
3x - y = -2.
The standard form is 3x - y = -2.
