Answer:
If we add up all the angles of any triangle, we should get 180 degrees. Therefore, Angle C = 90 (angle A) - 45 (angle B) = 45 degrees. Since there was a ray drawn from A through C the exterior angle of angle C is angle 1.
Step-by-step explanation:
a "one angle" A degree (in full, a degree of arc, arc degree, or arcdegree), usually denoted by ° (the degree symbol), is a measurement of a plane angle in which one full rotation is 360 degrees. ... Because a full rotation equals 2π radians, one degree is equivalent to π180 radians.
Answer:
<u>m∠CAD is 100°</u>
Step-by-step explanation:
The angles of a triangle always add up to 180 degrees.
Add...
100+x=180
Subtract 100 from each side...
x=80°
m∠CAB=80
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A line is always 180°... line DB consists of m∠CAB (just solved) and m∠CAD (which the answer asks)
m∠CAB+m∠CAD=DB
Substitute in the information we have.
80°+m∠CAD=180°
Subtract 80 from both sides...
<u>m∠CAD is 100°</u>
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I hope my answer makes sense to you! :)
Answer:
-4
Step-by-step explanation:
first, you minus 3 by 3 until you get zero then you minus 4 from zero which gets you -4 degrees.
What you do is cross multiply
1.5 x p & 6 x 10
after divide 1.5 on each side to get p alone
1.5p/1.5 & ___/1.5
you should get your answer to what p equals
hope this helped
Answer:
The solutions to the equation are -3,-2,2
Step-by-step explanation:
x^3+3x^2=4x+12
Subtract 4x +12 from each side
x^3+3x^2-4x-12=4x+12-4x-12
x^3+3x^2-4x-12=0
I will use factoring by grouping
x^3+3x^2 -4x-12=0
I will factor out x^2 from the first group and -4 from the second group
x^2 (x+3) -4(x+3) =0
Now we can factor out (x+3)
(x+3) (x^2-4) =0
We can use the zero product principle since the right hand side is equal to 0
x+3 =0 x^2-4 =0
x+3-3=0-3 x^2 -4+4=0+4
x=-3 x^2=4
Take the square root of each side
sqrt(x^2) = sqrt(4)
x=±2
The solutions to the equation are -3,-2,2