Answer:
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Answer: 
Step-by-step explanation:
<em>Area of trapezium = </em>
2X = 2 + 2 = 4 cm
2Z = 5 + 5 = 10 cm
Y = 5 cm

|
|--------> 35 
Answer:
Distributive property
Step-by-step explanation:
The distributive property states a(b+c)=a*b+a*c. This property states that when you multiply more than one thing, you must be sure to multiply everything. When you order fast food combos, you do the distribution property to receive the correct order.
If I order 3 Happy Meals, then I will receive
3(hamburgers +fries + drinks +toys)
3 hamburgers+3 fries+3 drinks+3 toys.
If I don't, then I have broken the distribution property.
For a.
Since there are already two angles given for the triangle, we can measure the last angle using this formula:
90 + 55 + a = 180
Now solve for "a".
90 + 55 + a = 180
145 + a = 180
a = 180 - 145
a = 35°
For b.
From the picture above, the two triangle's tip are touching and having to form <em>vertical angles. </em>This means that the angles are congruent to each other.
Now that we have two angles in the second triangle(35 and 120), we can use the same formula:
35 + 120 + b = 180
Now solve for "b":
35 + 120 + b = 180
155 + b = 180
b = 180 - 155
b = 25°
Answer:
<u>XZ is longer than XY</u>
Step-by-step explanation:
First we can notice all of the answers consist of knowing the lengths, so we must now find the lengths for each segment. To do this, we must use the pythagorean theorem.
(1, -1) and (-5, -5)
-5- -1 = -4
-5-1 = -6
-4^2+-6^2 = c^2
16+36 = c^2
52 = c^2
7.21110255 = c
So, the length of XZ is 7.21110255 units long
(1, -1) and (8, -2)
8-1 = 7
-2--1 = -1
7^2+-1^2 = c^2
49+1 = c^2
50 = c^2
7.07106781 = c
So, the length of XY is 7.07106781 units long.
<u>XZ is longer than XY</u>