Based on the given nomenclature of angles, I think the illustration would look like that shown in the attached picture. The common vertex is point B, that's why the middle point of the given angles is B. Now, according to Angle Addition Postulate, the individual interior angles should sum up to the total angle. So, the equation would be
m∠ABD = m∠ABC + m∠CBD
m∠ABC = m∠ABD - m∠CBD
m∠ABC = 85° - m∠CBD
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Answer:
<h2>x < - 3</h2>
Step-by-step explanation:
![- 5x + 7 > 22](https://tex.z-dn.net/?f=%20-%205x%20%2B%207%20%3E%2022)
Move 7 to the other side of the inequality
![- 5x > 22 - 7 \\ - 5x > 15](https://tex.z-dn.net/?f=%20-%205x%20%3E%2022%20-%207%20%5C%5C%20%20-%205x%20%3E%2015)
Divide both sides by - 5
![\frac{ - 5x}{5} > - \frac{15}{5} \\ x > - 3](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%205x%7D%7B5%7D%20%20%3E%20%20-%20%20%5Cfrac%7B15%7D%7B5%7D%20%20%5C%5C%20x%20%3E%20%20-%203)
Reverse the sign
We have the final answer as
<h3>x < - 3</h3>
Hope this helps you
Formula= (y2-y1)/ (x2-x1)
(-5 - -1) / (-2 - -4)
(-4) / (2) = -2
q8 is C
(-3 - -3) / (8 - 4)
(0) / (4) = 0
q12 is D
Answer:The answer is B
Step-by-step explanation:
first find te height:
1.5/2=0.75 (this will be your "b" of the pythagorean theorem for finding the height)
now do the pythagorean theorem:
a^2+0.75^2=3^2
(height)= 2.905
A= a^2+2a√((a^2/4)+h^2)
a (base edge)= 1.5
h (height)= 2.905
Calculate and you get B as your answer.
Hope this elpsand you get this right!
Answer:
-4/5
Step-by-step explanation:
r=x/2
a=2x
ar²=-1/16
x^3=-1/8
x=-1/2
sn=a/1-r
=-4/5