Answer:
.6
Step-by-step explanation:
Answer:
D) 2 points
Step-by-step explanation:
Compare a couple of points in the clumps of points and that is your answer
Answer:
a) 10 pieces of 2/3 pound can be made.
b) 0.54 pounds of wax is left over.
Step-by-step explanation:
Total amount of clear wax available = 
pounds
So, the maker has in total 4.5 pounds of wax
Now, The weight of each piece = 
pounds
To find the number of pieces that can be made out of 4.5 pounds of wax,
let that number = n
So, 
or, n = 
So, nearly 6 pieces can be made completely out of the clear wax
Left over amount of wax = Total weight - Weights of the pieces made
= 4.5- 6(0.66)
= 0.54 pounds
Hence, 0.54 pounds of wax is left over
A 24 -gon has 24 exterior angles. Each exterior angle measures 36024=15 . The interior angle measures 180−15=165 . The sum of the 24 interior angles is then 24⋅165=3960
Answer:
x= 81°, z= 99°, y°=68°
Step-by-step explanation:
considering the part of the triangle where 36° , 63° and x° is located as ΔABC.
to find the measure of x we use angle sum property.
We know that the sum of the angles of a triangle is always 180°. Therefore, if we know the two angles of a triangle, and we need to find its third angle, we use the angle sum property. We add the two known angles and subtract their sum from 180° to get the measure of the third angle.
so,
∠A + ∠B +∠C = 180°
36° + 63° + x° = 180°
99° + x° = 180°
x° = 180 - 99
x° = 81°
When two lines intersect each other at a single point, linear pairs of angles are formed. If the angles so formed are adjacent to each other after the intersection of the two lines, the angles are said to be linear. If two angles form a linear pair, the angles are supplementary, whose measures add up to 180°.
x° + z° = 180°
81° + z = 180°
z= 180 - 81
z= 99°
considering the next part of the triangle where 13° , z° and y° is located as ΔACD
to find the measure of y we use angle sum property.
∠A + ∠C + ∠D = 180°
13° + z° + y° = 180°
13°+99°+y°= 180°
112°+ y° = 180°
y°= 180- 112
y° = 68°
