Question 1:
Since this is an isosceles trapezoid angle J is equal to angle M
20x + 9 = 14x + 15
Subtract both sides by 14x and 9
6x = 6
Divide both sides by 6
x = 1
Plug this into 14x + 15 and 20x + 9
You get 29 degrees.
Now, multiply that by 2.
29 * 2 = 58
Subtract that from 360 to get the sum of angles K and L
360 - 58 = 302
Now, divide that by 2 since we know that angles K and L are congruent.
302 / 2 = 151
That's the measure for both angle K and L.
The first choice is your answer.
Question 2:
The diagonals of a rhombus are always perpendicular. That means angles 1, 2, and 3 are all equal to 90 degrees.
Although it may seem that we'll have to solve for x, y, and z. We really only need to solve for z.
For angle 2, we know that x + y = 90.
Now, let's solve for z.
30z = 90
Divide both sides by 30
z = 3
Now, add them all together
x + y + z
= 90 + 3
= 93
The first choice is your answer.
Question 3:
The diagonals of a rectangle are always congruent.
6x + 16 = 49
Subtract both sides by 16
6x = 33
Now, divide both sides by 6
x = 5.5
The last choice is your answer.
Have an awesome day! :)
Answer:
x = 0
Step-by-step explanation:
Answer: 35
Each triangle adds up to 180 degrees by adding the two angles that you already have the value of (37+108) and subtract it from 180 to get the final angle(x) you get 35
Therefore x=35 :)
Answer:
92.5% before discount 100% after discount is 92.5%
Answer: 336
Step-by-step explanation:
The numbers are all multiples of 6
