Answer:
<em>x = 45°</em>
Step-by-step explanation:
<u>Congruence of Angles:</u>
Linear angles are those consecutive angles formed when two lines cross. Their sum of linear angles is 180°.
Corresponding angles are those which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are congruent.
From the provided figure, angles y and 3x-60 are linear, thus:
y + 3x - 60 = 180
y = 180 - 3x + 60
y = 240 - 3x
Also, being p and q parallel lines, angles y and 2x+15 are corresponding, thus:
240 - 3x = 2x + 15
Adding 3x:
240 = 2x + 3x + 15 = 5x + 15
Subtracting 15:
240 - 15 =5x = 225
Dividing by 5:
x = 225 / 5 = 45
x = 45°
Answer:
a) y = -7x +1
Step-by-step explanation:
Slope-intercept form is ...
y = mx + b
The other forms shown are various ways this can be rearranged, but they are not slope-intercept form.
The best estimate is 478,000,000 x 2,500,000
Answer:

Step-by-step explanation:
Perimeter of the pentagon = 20.5 cm
Length of 4 sides = 
Length of the other side = 2.1 cm
Perimeter of the pentagon will be

The value of
is
.
Solving for <em>Angles</em>

* Do not forget to use the <em>inverse</em> function towards the end, or elce you will throw your answer off!
Solving for <em>Edges</em>

You would use this law under <em>two</em> conditions:
- One angle and two edges defined, while trying to solve for the <em>third edge</em>
- ALL three edges defined
* Just make sure to use the <em>inverse</em> function towards the end, or elce you will throw your answer off!
_____________________________________________
Now, JUST IN CASE, you would use the Law of Sines under <em>three</em> conditions:
- Two angles and one edge defined, while trying to solve for the <em>second edge</em>
- One angle and two edges defined, while trying to solve for the <em>second angle</em>
- ALL three angles defined [<em>of which does not occur very often, but it all refers back to the first bullet</em>]
* I HIGHLY suggest you keep note of all of this significant information. You will need it going into the future.
I am delighted to assist you at any time.