Answer:
16 problems.
Step-by-step explanation:
100% divided by 20 questions.
100/20 is equal to 5, therefore each question is worth 5 points.
Grade of 80% divided by points per question.
80/5 is 16 so the student answered 16 questions correctly.
(a) Without solving the equation we can't determine whether its true or false.
(b) If x = 3
4x + 1 = 2x + 5
4(3) + 1 = 2(3) + 5
12 + 1 = 15 + 5
13 = 20
No, if x = 3, the equation will not be true.
(c) 4x + 1 = 2x + 5
4x - 2x = 5 - 1
2x = 4
x = 4/2
x = 2
This shows that x = 2 makes the equation true.
Answer:
A. 45°
Step-by-step explanation:
When we are given two measurements of interior angles we add both of those angles together.
Also know that a triangle equals 180 degrees
So when we write out this expression 
Hope this helps
Answer:
Step-by-step explanation:
PART A
The Pythagoras theorem is expressed as
Hypotenuse^2 = opposite side^2 + adjacent side^2
PART 2
The hypotenuse is the longest side of the triangle. Looking at the given triangle, the longest side is the side with the length of 7. Therefore, hypotenuse = 7
PART C
To determine x, we will apply the Pythagoras theorem as stated above.
Opposite side = √14
Adjacent side = x
Therefore
7^2 = x^2 + (√14)^2
49 = x^2 + 14
x^2 = 49-14 = 35
Taking square root of both sides of the equation, it becomes
x = √35
x = 5.92
