Answer:
Step-by-step explanation:
Hello There!
Remember: sum of interior angles of a triangle = 180
so to find x we use this equation
180 = 90 + 7x + 5 + 9x + 5 ( the little square in the triangle indicates that the angle is a right angle. right angles have a measure of 90 so that's where the 90 came from.)
now we solve for x
step 1 combine like terms
90 + 5 + 5 = 100
7x + 9x = 16x
now we have 180 = 16x + 100
step 2 subtract 100 from each side
180 - 100 = 80
100 - 100 cancels out
now we have 80 = 16x
step 3 divide each side by 16
80/16 = 5
16x/16=x
we're left with x = 5
Finally we plug in 5 into x for angle a
7(5)+5
7*5=35
35+5=40
so we can conclude that the measure of angle A is 40 degrees
Step-by-step answer:
This is a regular heptagon, means it has 7 <em>congruent</em> sides and 7 <em>congruent </em>vertex angles.
To work with polygons, there is a very important piece of information that you must know to solve the majority of related problems.
This is:
sum of exterior angles of polygons = 360 degrees.
If you don't remember the 360 degrees, think of the sum of exterior angles of an equilateral triangle, which is 3*(180-60)=3*120=360! It works!
For a regular heptagon, c = 360/7=51.43 degrees approx.
This means that each vertex angle measures
vertex angle = 180-c
So since 2d+the vertex angle = 360, we have
2d+(180-c)=360
solve for d:
2d=360-(180-c)=180+c
d=(180+c)/2=90+c/2=115.71 degrees. (approx.)
Answer:
C.
Step-by-step explanation:
None of these numbers have perfect square roots, but is the closest to the point on the number line. The square root of is 6. 244997998398398. Rounding that number we get approximately 6.3.
Answer:
y = - 
x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - , thus
y = - x + c ← is the partial equation
To find c , substitute (4, - 5) into the partial equation
- 5 = - 2 + c ⇒ c = - 5 + 2 = - 3
y = - x - 3 ← equation of line
Answer:
C=45
if 9/11 = c/55 you have to divide the c/55 by 9/11, resulting in c/9 = 5
multiply 9 by 5 to get 45
Step-by-step explanation:
