Answer:
48
Step-by-step explanation:
If the follows triangle congruence, you look at the two triangles given.
Triangle XYZ is equiangular due to it's 3 congruent angles.
Since Triangle XYZ is equiangular, that means it is also equilateral, meaning each side is congruent.
This means that side XY and Side ZY are equal to XZ and therefore
XY = 11 and ZY = 11.
Then we look at Triangle WXZ. Triangle WXZ has two congruent base angles, meaning it's an isosceles triangle.
By the converse of the isosceles triangle theorem, if 2 angles of a triangle are congruent then the sides opposite those angles are congruent.
This means XZ and WZ are congruent to each other, meaning XZ = WZ.
Since XZ= 11, that means WZ = 11.
Now we have all outside side lengths and we can find the perimeter.
Perimeter = WX + WZ + ZY + XY.
(substitute known values of sides)
11+11+11+15= Perimeter
33+15 = Perimeter
48 = Perimeter
Answer: 
Step-by-step explanation:
By definition, negative numbers, positive numbers and zero are Integers.
It is important to remember the multiplication of signs:
You can observe that you must multiply two integers, one of them is negative and the other one is positive. The product will be an integer. Then:
Since any Integer can be written as a fraction, you can rewrite the product by writing 
as the numerator and 
as the denominator.
Then, this is:
Answer:
54°
Step-by-step explanation:
The ratio values can be used to find the angles, then the desired difference can be found. Alternatively, the desired difference can be figured in terms of the ratio units given.
<h3>Ratio of difference to whole</h3>
The number of ratio units representing the largest angle is 5. The number of ratio units representing the smallest angle is 2. The difference of these is 5 -2 = 3.
The total number of ratio units is 3 +2 +5 = 10. This is the number of ratio units representing the straight angle, 180°.
The difference is 3 of those 10 ratio units:
3/10 × 180° = 54° . . . . . . largest - smallest difference
<h3>Find the angles</h3>
There are 10 ratio units in total (3+2+5=10), so each represents 180°/10 = 18°. Multiplying the given ratios by 18° gives the angle values:
3×18° : 2×18° : 5×18° = 54° : 36° : 90°
The difference between the largest and smallest is ...
90° -36° = 54° . . . . . . largest - smallest difference
