Answer:
1:12
2:-32
3: -35
4: -10
5: 24
6: 90
7: 41. I used the properties of multiplication to find the product by multiplying 41•1=41 and the 2 negatives cancel each other out.
8: the product is -80. What she could've done is forgot to add the negative sign.
Step-by-step explanation:
Answer:
m∠3 = 119°
Step-by-step explanation:
All the angles must equal 360° when added together. You have two known angles that are right next to each other. If you add m∠1 and m∠2, 119 + 61, it is equal to 180°. This means that m∠3 and m∠4 must be equal to 180° as well and since there are only two lines, it is safe to assume that opposing angles are the same so m∠1 = m∠3 and m∠2 = m∠4.
For this problem, we can say that corresponding angles are congruent, or the same, this also means that their angle measures have to be the same. Then, our equations for our angles will be vertical angles, which means that they must equal each other. So we would then write our equation as 3x+20=4x+10 or 4x+10=3x+20. Then, to combine like terms, we will subtract 3x from both sides, resulting in x+10=20. Then we will subtract 10 from both sides, resulting in x=10.
Answer:
Center: 
Radius: 
Step-by-step explanation:
It is necessary to remember that the Equation of the circle in Center-radius form, is:
Where the center of the circle is at the point (h, k) and the radius is "r".
Then, given the following equation of the circle:
We can notice that it is written in Center-radius form. Then we can identify that:
Therefore the center is:
And the radius is:
Answer:
x = 8
Step-by-step explanation:
180 = 78 + 94 + x
180 =172 + x
-172 -172
18 = x
