<h3>
Answer: C) 136 degrees</h3>
The known acute angle of the triangle is 46 degrees, so the unknown acute angle of that triangle is 90-46 = 44 degrees. In other words, the two acute angles of any right triangle must add to 90, so 46+44 = 90.
The 44 degree angle is adjacent to angle ADC, and it adds to angle ADC to form 180 degrees.
If x is the measure of angle ADC, then
44+(angleADC) = 180
44+x = 180
x = 180-44
x = 136
angle ADC = 136 degrees
For any parallelogram, the opposite angles are always congruent. Therefore, angle ABC is equal to angle ADC = 136, making ABC = 136 as well.
The population of the town in 1960 is 48.80 thousands
<h3>How to determine the population in 1950?</h3>
The equation of the model is given as:
f(t) = 42e^(0.015t)
1960 is 10 years after 1950.
This means that:
t = 10
Substitute t = 10 in f(t) = 42e^(0.015t)
f(10) = 42e^(0.015 * 10)
Evaluate
f(10) = 48.80
Hence, the population of the town in 1960 is 48.80 thousands
Read more about exponential functions at:
brainly.com/question/11464095
#SPJ1
Answer:
There will be 13 gifts given in the party.
Step-by-step explanation:
Given that Ming invited 12 people to her chrismas party, with a total of 13 people at her party, and each person have each other person a present, to determine how many presents were given the following logical reasoning must be performed:
Given that there are 13 people at the party, and each of them will bring a gift, by mathematical logic there will be 13 gifts distributed in the party.
2n + 28 = 96 [Two times n plus twenty-eight equals ninety-six.}
You need to get n by itself, so you first subtract 28 on both sides
2n + 28 - 28 = 96 - 28
2n = 68 Divide 2 on both sides
n = 34
