Answer:
7 of the angles measure 144 degrees each and one angle measures 72 degrees
Step-by-step explanation:
Let
x -----> represent the measures of the seven same-size angles,
x/2 ----> represent the measure of the one that is "two times smaller."
we know that
The sum of internal angles of a polygon can be calculated as:
where
n is the number of sides of the polygon
In this case
n=8 (octagon)
substitute
so
The linear equation that represent this problem is
solve for x
so
therefore
7 of the angles measure 144 degrees each and one angle measures 72 degrees
Answer:
y - 5 = 3(x - 4)
General Formulas and Concepts:
<u>Algebra I</u>
Point-Slope Form: y - y₁ = m(x - x₁)
Step-by-step explanation:
<u>Step 1: Define</u>
Slope <em>m</em> = 3
Point (4, 5)
<u>Step 2: Write equation</u>
Point-Slope Form: y - 5 = 3(x - 4)
Answer:
Adults: 75, girls: 100, Boys: 75
Step-by-step explanation:
2/5 x 250 = 100( girls)
3/10 x 250 = 75 (boys)
250 - (100 + 75) = 250 - 175 = 75 (Adults)
Answer:
∠GJK is 22°
Step-by-step explanation:
Because the shape is a rectangle we know that GH is parallel to JI
This means that because of the alternate angle rule we know that
5x+8 = 7x-16
Then we solve for x
5x+8-5x = 7x-16-5x
8+16=2x-16+16
=
x=16
So this means that ∠HJI is 68°
Because the shape is a rectangle we know that ∠GJI is a right angle
This means that ∠GJK is 90-∠HJI because of the angles on a right angle rule
90-68 =22
∴∠GJK is 22°
Answer: option d
Step-by-step explanation:
Remember the identity:
The inverse of the tangent function is arctangent. You need to use this to calculate the angle "S":
Knowing that: you need to find the measure of the angle "S" , 
(which is the adjacent side) and 
(which is the opposite side), you can sustitute values into
Then, you get that the measure of "S" rounded to the nearest tenth is:
