Answer:
96 degrees
Step-by-step explanation:
Answer:
-1/100
Step-by-step explanation:
Answer:
x = 20
Step-by-step explanation:
The ratios of corresponding sides are equal, that is
=
, substitute values
=
( cross- multiply )
20(25 + x) = 900 ( divide both sides by 20 )
25 + x = 45 ( subtract 25 from both sides )
x = 20
Consider the given decagon of all equal sides.
Given: 
To find: 
Construction: Join a dotted line from point T to P.
Now,
and
lies on the straight line. Hence, they form linear pair.
Therefore, 


(equation 1)
Now, consider triangle TBP with two equal sides TB and BP.
By using the property
"Angles opposite to equal sides of an isosceles triangle are equal."
Since TB=BP, therefore the angles opposite to these sides are also equal.

From equation 1,

Now, in triangle TBP,
By using angle sum property, which states
" The sum of measures of all three angles of a triangle is 180 degrees"





So, the measure of angle TBP is 60 degrees.
Answer:
80 sq units
Step-by-step explanation:
Starting with the largest rectangle, we see it has a width of 6 and a length of 8, meaning the area of that only is 48 sq units. (area of rect. = l x w, so 6 x 8 is 48)
There are two smaller rectangles with width 6 and length 2. One of those rectangles would be 12 units (6 x 2). Since there is two of them, then 24 sq. units.
Lastly, there are four small triangles. The area formula for a triangle is 1/2(b)(h). The triangle has a base of 2 and a height of 2. (1/2)(2)(2) =2. Since there are four triangles, the total for them only would be 8 (2 x 4).
Adding each of these pieces together will give us the answer:
48+24+8=80 sq units