Answer:
66°
Step-by-step explanation:
Since segments MN and MP are tangent to the circle, then
![\angle MPO=\angle MNO=90^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20MPO%3D%5Cangle%20MNO%3D90%5E%7B%5Ccirc%7D)
The sum of the measures of all interior angles of the quadrilateral is equal to 360°, so
![\angle NOP+\angle MPO+\angle MNO+\angle NMP=360^{\circ}\\ \\114^{\circ}+90^{\circ}+90^{\circ}+x^{\circ}=360^{\circ}\\ \\x^{\circ}=360^{\circ}-114^{\circ}-90^{\circ}-90^{\circ}\\ \\x^{\circ}=66^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20NOP%2B%5Cangle%20MPO%2B%5Cangle%20MNO%2B%5Cangle%20NMP%3D360%5E%7B%5Ccirc%7D%5C%5C%20%5C%5C114%5E%7B%5Ccirc%7D%2B90%5E%7B%5Ccirc%7D%2B90%5E%7B%5Ccirc%7D%2Bx%5E%7B%5Ccirc%7D%3D360%5E%7B%5Ccirc%7D%5C%5C%20%5C%5Cx%5E%7B%5Ccirc%7D%3D360%5E%7B%5Ccirc%7D-114%5E%7B%5Ccirc%7D-90%5E%7B%5Ccirc%7D-90%5E%7B%5Ccirc%7D%5C%5C%20%5C%5Cx%5E%7B%5Ccirc%7D%3D66%5E%7B%5Ccirc%7D)
Answer:
the answer should be C!
Step-by-step explanation:
When you multiply the y value 0.04 and 5 it comes out as 0.02.
Basically you are trying to find two numbers that when they are added equals -2 and when multiplied equals -3. As you can see -3 plus +1 is equal to -2. And 1 times -3 equals -3. Therefore you have (x+1)(x-3). In order to check if these are the right numbers you will need to multiply (x+1)(x-3) and will end up with the first equation x^2-2x-3. Hope this helped! :)
Answer:
11/12
Step-by-step explanation:
Nesta questão, estamos interessados em saber em que fração do álbum de figurinhas ambos contribuíram.
Pela pergunta, ficamos sabendo que Karina contribuiu com 1/6 enquanto Cristina contribuiu com 3/4.
Portanto, para encontrar a fração com a qual ambos contribuem, simplesmente adicionamos as duas frações.
Matematicamente, isso seria 1/6 + 3/4 = (2 + 9) / 12 = 11/12