The sum of interior angles of any polygon is:
s=180(n-2)
Since we are dealing with a triangle:
s=180(3-2)
s=180°
That is, the sum of angles of any triangle is 180°.
In this case we are given two angles with measures of 32° and 102° so
a+b+c=180
32+b+102=180 combine like terms on left
b+134=180 subtract 134 from both sides
b=46°
Answer:
See explanation
Step-by-step explanation:
Plot the solution sets to both inequalities.
1. For the inequality 
First, plot the dotted line 
(dotted because sign is without notion "or equal to"), then choose correct part by substitution coordinates of the origin.
so the origin does not belong to the needed part. Shade the part, which does not include origin.
2. For the inequality 
First, plot the dotted line 
(dotted because sign is without notion "or equal to"), then choose correct part by substitution coordinates of the origin.
so the origin does not belong to the needed part. Shade the part, which does not include origin.
3. Find the common region of these two shaded parts - this is the solution to the system of two inequalities.
Answer:
x = 1.2
Step-by-step explanation:
AD/AB = DE/BC (Similarity Theorem)
AD = 6 + 4 = 10
AB = 6
DE = 2
BC = x
Plug in the values
10/6 = 2/x
Cross multiply
10*x = 2*6
10x = 12
Divide both sides by 10
x = 12/10
x = 1.2
At high noon, you can feel warm
air coming from inland. During noon, especially in spring and summer, the
radiation caused by the Sun warms the land surface more compared to the sea
surface. This is because heat is directly applied on the land surface compared
to the ocean.
Answer:
<h2><em><u>
3.24</u></em> </h2>
<em><u>= yes, because the sqrt of 3.24 is 1.8</u></em>
<h2><em><u>
20.25</u></em></h2><h3>= yes, because the sqrt of 20.25 is 4.5</h3>
