Answer:
m∠BAD
Step-by-step explanation:
Hello!
The measure of Angle BAD is the same as the sum of angles BAC and CAD.
- m∠BAD = m∠BAC + m∠CAD
- m∠BAD = 31° + 24°
- m∠BAD = 55°
The measure of Angle BAD is 55°.
Answer: D
Step-by-step explanation:
If we substitute -12 into this equation we get:
![-3[-12-8]+1.5](https://tex.z-dn.net/?f=-3%5B-12-8%5D%2B1.5)
![-3[-20]+1.5](https://tex.z-dn.net/?f=-3%5B-20%5D%2B1.5)
Because -20 is in absolute value, we simply just use 20.
Thus,
Answer:
Step-by-step explanation:
Using the identity,
so
Convert to degrees.
If the equation is given in factored form and the roots are real, then you can identify the x-coordinate of the vertex by averaging the 2 root values. For example, if the roots are -2 and 5, the x-coord. of the vertex is (-2+5)/2, or 3/2.
Once you have this x value, subst. the value into the given equation to calculate y. Then write the vertex as (x,y).
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7y-1=-1+9(y-9)
Add 1 on both sides.
7y=9(y-9)
Distribute.
7y=9y-81
Subtract 7y and add 81 on both sides.
2y=81
y=40.5
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<span>4c+3=-12+c-1
</span>Subtract 3 on both sides.
4c=-12-1-3+c
Subtract c on both sides.
3c=-16
c=-16/3
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<span>-(k+1)-10=-5k+3
</span>Add 10 on both sides.
-(k+1)=-5k+13
Distribute.
-k-1=-5k+13
Add 1 and add 5k on both sides.
4k=14
k=4/14
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-w-10=-9-2(w-8)
Distribute.
-w-10=-9-2w+16
Simplify.
-w-10=-2w+7
Add 2w and 10 on both sides.
w=17
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-2(n-3)-5=-5n+1
Distribute.
-2n+6-5=-5n+1
Simplify.
-2n+1=-5n+1
Add 5n and subtract 1 on both sides.
3n=0
n=0
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To make sure you got the right answer, you can check your work by plugging the result back into the question and seeing if both sides become equal. If both sides are equal, then the result is correct.
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