Answer:
x=16
angle 3=51
angle 4=39
Step-by-step explanation:
1) since angles 1,2 and 3,4 are vertical from each other we can use vertical angle therom (vertical angles are equal to each other)
angle 1 and 2 make a 90 degree angle
so
3x+3+39=90
3x+42=90
3x=48
lets plug in "16" as "x"
3(16)+3=51
IF you wanted to find out what angle 3 and 4 is
angle 3=51(opposite of angle 1)
angle 4= 39 opposite of angle 2
x = 16
Angle 2 is equal to 39, which means that Angle 1 has to be 51, since Angles 1 and 2 together is a right angle
3x+3=51
Subtract 3, making it 48
Now do 48 divided by 3, and you get 16
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Work Shown:
I'm assuming the diagram shows that interior angles F and G are 24 and 12+5x respectively.
We can use the remote interior angle theorem to get:
(interior angle F)+(interior angle G) = exterior angle FEH
(24) + (12+5x) = 8x
5x+36 = 8x
36 = 8x-5x
36 = 3x
3x = 36
x = 36/3
x = 12
19.
First arrange in ascending order:
16, 16, 18, 19, 21, 25, 27, 30, 34, 49, 50, 58, 59, 71, 75.
There are a total of 15 numbers, so the median is the 8th number = 30.
The lower quartile is halfway alone the first 7 numbers which is the 4th number and it is 19.
The median which is the middle number
4 times
y is part of a right angle on line AB
a right angle = 90 degrees
90-47 = 43 degrees
y = 43 degrees
a straight line = 180 degrees
180-47 = 133 degrees
x = 133 degrees
