Answer:
A. x = 4
B. ∠C = 80°
Step-by-step explanation:
<h3>A.</h3>
The sum of interior angles in a pentagon is 540°. We can write an equation for the sum of angles using this fact. Clockwise from lower left, we have ...
140° +(20x)° +100° +(16x +16)° +(160 -5x)° = 540°
31x +416° = 540° . . . . . . collect terms
31x = 124° . . . . . . . . . . subtract 416°
x = 4
__
<h3>B.</h3>
The measure of angle C is found by substituting the value of x into the given expression for angle C.
(16x +16)° = (16(4) +16)° = 80°
Angle C is 80°.
_____
<em>Additional comment</em>
It can be useful to remember that the sum of <em>interior</em> angles of an n-gon is ...
(180°)(n -2)
This can be derived from the fact that the sum of <em>exterior</em> angles is always 360°.
These relations apply to <em>convex</em> <em>polygons</em>. YMMV when there are reflex angles or when sides cross each other.
Answer: A. negative 3 over 5 is located on the right of −2
Step-by-step explanation:
On a number line, the greater numbers are to the right and the smaller numbers are to the left.
Answer:
A) 3.5
B) 1.6202
Step-by-step explanation:
In binomial distribution,
E(X) = np and Var(X) = npq while
SD (X) = √(npq)
Where n is number of cards drawn
p is probability of getting one particular shape
q = 1-p
So from the question, n = 14
p = 13/52 = 1/4
q = 1-(1/4) = 3/4
So;
A) E(x) = np = 14 x 1/4 = 3.5
B) SD (X) = √(npq) = √(14 x 1/4 x 3/4) = √(42/16) = √2.625 = 1.6202
Answer:
we need more information or its impossible
but the with the given info I would say y+6=x
Step-by-step explanation:
so 4+6=10 and 1+6=7 and 7+6=13 and 9+6=15
it can also be y×2.5=x
so 4×2.5=10 and etc
Answer:
B.
Step-by-step explanation:
Because 14/2 is 7
10/5 is 2 as well