The measure of angles are 137.5 degrees and 42.5 degrees
Solution:
Given that two angles are supplementary
Let "a" be the one of supplementary angle
Let "b" be the other supplementary angle
Given that measure of one angle is 10 degree more than three times the other
measure of one angle = 10 + three times the other angle
a = 10 + 3b ---- eqn 1
We know that,
Two Angles are Supplementary when they add up to 180 degrees.
a + b = 180 ---- eqn 2
<em><u>Let us solve eqn 1 and eqn 2 to find values of "a" and "b"</u></em>
Substitute eqn 1 in eqn 2
10 + 3b + b = 180
10 + 4b = 180
4b = 170
<h3>b = 42.5</h3>
From eqn 1,
a = 10 + 3(42.5)
a = 10 + 127.5 = 137.5
<h3>a = 137.5</h3>
Thus the measure of angles are 137.5 degrees and 42.5 degrees
Question 1. Midpoint
Answer: M(-2,4)
Explanation:
1) The coordinates of the midpoint, M (x,y) between two points (x₁,y₁) and (x₂, y₂) are:
x = (x₁ + x₂) / 2 and y = (y₁ + y₂) / 2
2) Replacing the coordinates of the given points P (-4, 1) and Q (0,7) you get:
x = (- 4 + 0) / 2 = - 2, and
y = (1 + 7) / 2 = 4
So, the answer is M (-2,4)
Question 2: The distance between the two midpoints is:
Answer: 7.21
Explanation:
1) Use the formula of distance, which is an application of Pythagora's theorem:
d² = (x₂ - x₁)² + (y₂ - y₁)²
2) Substitute values:
d² = (0 - (-4))² + (7 - 1)² = 4² + 6² = 16 + 36 = 52 ⇒ d = √52 ≈ 7.21
Answer:500%
Step-by-step explanation:
The solution is in the file below
<span>d.<span>$63,126.00 I think haha</span></span>
Answer:
Step-by-step explanation:
In order to solve for this equation we have to note a couple of things.
There is a diagonal square inside a larger square. The space formed by the smaller square not being in the larger square is a right triangle.
The side length of the smaller square (4) is also the hypotenuse of this triangle.
Since we know that the other side length of the triangle is 3, we can use the Pythagorean Theorem to find the value of b.
The Pythagorean Theorem states that 
, where a and b are the legs and c is the hypotenuse.
We can substitute 3 in as a and 4 in as c and find b.
So b is 
units long.
Hope this helped!
