Answer:
<em>The required values are a = 29°, b = 20°</em>
Step-by-step explanation:
<u>Angles and Lines</u>
The image shows two lines crossing at a point where three angles are marked: 57°, 7b-17, and 2a-1.
It can be noted that 57° and 7b-17 are linear angles whose sum is 180°:
57° + 7b - 17° = 180°
Solving for b:
7b = 180° + 17° - 57°
7b = 140°
b = 140°/7 = 20°
b = 20°
It can also be noted that 57° and 2a-1 are vertical angles (opposite angles). Vertical angles are congruent, thus:
57° = 2a - 1°
Adding 1:
2a = 58°
a = 29°
The required values are a = 29°, b = 20°
Answer:
375 students
Step-by-step explanation:
Subtract 36 from 100 to find what percent attend the academic after school program:
100 - 36
= 64
To find how many students are in the 6th grade, divide 240 by 0.64
240/0.64
= 375
So, there are 375 students in the 6th grade
Answer:
Steve
Step-by-step explanation:
Because it means greater than or equal to
Answer:
The answer to your question is: -2
Step-by-step explanation:
Data
log₁₀(1/100) = ?
We need to find a number that when we elevate 10 to this number, we get 1/100.
As the result is a fraction, the number must be negative.
And as the result must be 100, we can look for a root of 100 that gives 10, that root is square root (2).
Answer: yes
Step-by-step explanation:
yes