Answer:
x=21
Step-by-step explanation:
100+3x+x-4=180
100+4x-4=180
96+4x=180
4x=180-96
4x=84
x=21
Answer:
circle D
Step-by-step explanation:
Option C
<u>ANSWER:
</u>
For the given equation slope is
so the correct option is c.
<u>SOLUTION:
</u>
Given, line equation is 
We need to find the slope of the given equation.
Above given equation is in the form of slope intercept form, i.e. y = mx + c
Where m is the slope and c is the intercept made on axis by this line.
By comparing the given equation and the general form, we can conclude that, m =
and c = -3
hence, for the given equation slope is
. so the correct option is c.
D is halfway between A and B
so the coordinates of D are (2,2)
E is halfway between A and C so the coordinates of E are (-1,1)
now you need to find the gradient/slope of DE and BC using the formula:

<h3>
<u>G</u><u>r</u><u>a</u><u>d</u><u>i</u><u>e</u><u>n</u><u>t</u><u> </u><u>o</u><u>f</u><u> </u><u>D</u><u>E</u><u>:</u><u> </u></h3>
SUB IN COORDINATES OF D AND E

therefore the gradient of DE is 1/3.
<h3>
<u>G</u><u>r</u><u>a</u><u>d</u><u>i</u><u>e</u><u>n</u><u>t</u><u> </u><u>o</u><u>f</u><u> </u><u>B</u><u>C</u><u>:</u></h3>
<em>S</em><em>U</em><em>B</em><em> </em><em>I</em><em>N</em><em> </em><em>C</em><em>O</em><em>O</em><em>R</em><em>D</em><em>I</em><em>N</em><em>A</em><em>T</em><em>E</em><em>S</em><em> </em><em>O</em><em>F</em><em> </em><em>B</em><em> </em><em>A</em><em>N</em><em>D</em><em> </em><em>C</em>
<em>
</em>
therefore the gradient of BC is -2/-6 which simplifies to 1/3.
<h3>
therefore, BC and DE are parallel as they both have a gradient/slope of 1/3 and parallel lines have the same gradient</h3>
Answer:
its c
Step-by-step explanation:
By the converse of the hinge theorem, mAngleS > mAngleC.