Hello!
Angle POQ and angle MON are vertical which means they are congruent
x - 28 = 149
Add 28 to both sides
x = 177
Angle NOQ and angle NOM are supplementary meaning they add to 180
NOQ + NOM = 180
Put in the known angle
NOQ + 149 = 180
Subtract 149 from both sides
NOQ = 31
The answers are x = 177 and angle NOQ = 31
Hope this helps!
Answer:
Step-by-step explanation:
he needs to add $723 to his account. He needs $1243 in all to write his checks
Answer:

Step-by-step explanation:
Given


See attachment for farm
Required
The cost of fencing the farm
First, calculate the radius of the farm.
The radius is represented with AC.
So, we have:
---- distance formula
So, we have:





Hence:
--- radius
Calculate the circumference of the circle



If 1 yard costs $30, 31.4 yards will cost:


The line is drawn at point A and Point C is a line of symmetry because lines of symmetry make exactly two halves with similar shapes and sizes.
<h3>What is a line of symmetry?</h3>
It is defined as the line which will make exactly two halves with similar shape and size in geometry. For a two-dimensional shape, there is a line of symmetry, and for three-dimensional shapes, there is a plane of symmetry. In other words, if we make a mirror image of the shape around the line of symmetry, we will get exactly the same half portion.
We have given a figure in the picture.
The figure is a quadrilateral(a kite)
As we know, lines of symmetry make exactly two halves with similar shapes and sizes.
IF we draw a line from Point A to Point C we will get two similar and figures in size and shape.
Thus, the line is drawn point A and Point C is a line of symmetry because lines of symmetry make exactly two halves with similar shapes and sizes.
Learn more about the line of symmetry here:
brainly.com/question/1597409
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