Answer:
option 2.
m1 = 147° m2 = 80° m3 = 148°
Step-by-step explanation:
a flat angle has 180 °
m1 + 33 = 180
m1 = 180 - 33
m1 = 147
47 + 33 + x = 180
x = 180 - 47 - 33
x = 100
as they are two crossed lines the angle is reflected from the opposite side
48 + 100 + y = 180
y = 180 -100 - 48
y = 32°
180 = m3 + 32
m3 = 180 - 32
m3 = 148
With the same principle as the previous one we know that the angle of a turn is 360 °, if we subtract the 2 known angles and divide it by 2 we will obtain the missing angle
m2 * 2 = 360 - 100*2
m2 = 160 / 2
m2 = 80
These are 8 questions and 8 answers:1) Quesion 1: 9+√2
---------
4 - √7
Answer: the third option:36 + 9√7 + 4√2 + √14
-----------------------------
9
Explanation: Multiply both numerator and denominator by the conjugate of the denominator.
The conjugate of 4 - √7 = 4 + √7
=>

2) Question 2: sum
Answer: fourth option
Explanation:Take x^5 out of the second radical which will result in a like term of the first radical:
![5x( \sqrt[3]{x^2y} )+2( \sqrt[3]{x^5y}) =5x( \sqrt[3]{x^2y} )+2x( \sqrt[3]{x^2y})=7x( \sqrt[3]{x^2y})](https://tex.z-dn.net/?f=5x%28%20%5Csqrt%5B3%5D%7Bx%5E2y%7D%20%29%2B2%28%20%5Csqrt%5B3%5D%7Bx%5E5y%7D%29%20%3D5x%28%20%5Csqrt%5B3%5D%7Bx%5E2y%7D%20%29%2B2x%28%20%5Csqrt%5B3%5D%7Bx%5E2y%7D%29%3D7x%28%20%5Csqrt%5B3%5D%7Bx%5E2y%7D%29%20%20)
which is the fourth option
3) Question 3. Which expression is equivalent to:
Answer: the first optionExplanation
4) Question 4 What is the simplest form?Answer: the second optionExplanation:
5) Question 5 Product Answer: the fourth option:![104x^4+16x^4 \sqrt{30} [/tex]\\Explanation:\\Use the square of a binomial product: (a + b)^2 = a^2 + 2ab + b^2\\[tex](4x \sqrt{5x^2} )^2+2(4x \sqrt{5x^2})(2x^2 \sqrt{6}) +(2x^2 \sqrt{6} )^2=](https://tex.z-dn.net/?f=104x%5E4%2B16x%5E4%20%5Csqrt%7B30%7D%20%5B%2Ftex%3C%2Fstrong%3E%5D%5C%5C%3Cstrong%3EExplanation%3A%3C%2Fstrong%3E%5C%5CUse%20the%20square%20of%20a%20binomial%20product%3A%20%28a%20%2B%20b%29%5E2%20%3D%20a%5E2%20%2B%202ab%20%2B%20b%5E2%5C%5C%5Btex%5D%284x%20%5Csqrt%7B5x%5E2%7D%20%29%5E2%2B2%284x%20%5Csqrt%7B5x%5E2%7D%29%282x%5E2%20%5Csqrt%7B6%7D%29%20%2B%282x%5E2%20%5Csqrt%7B6%7D%20%29%5E2%3D)


which is the fourth option.
6) Question 6 Product
Answer: fourth option
Explanation:
![\sqrt[3]{16x^7} . \sqrt[3]{12x^9} = \sqrt[3]{2^4.2^2.3x^7x^9} = \sqrt[3]{2^6.3.x^{16}}=2^2 x^5 \sqrt[3]{3x} =4 x^5\sqrt[3]{3x}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B16x%5E7%7D%20.%20%5Csqrt%5B3%5D%7B12x%5E9%7D%20%3D%20%5Csqrt%5B3%5D%7B2%5E4.2%5E2.3x%5E7x%5E9%7D%20%3D%20%20%5Csqrt%5B3%5D%7B2%5E6.3.x%5E%7B16%7D%7D%3D2%5E2%20x%5E5%20%5Csqrt%5B3%5D%7B3x%7D%20%3D4%20x%5E5%5Csqrt%5B3%5D%7B3x%7D%20)
which is the fourth option.
7) Question 7. Simplified form of 2√18 + 3√2 + √162
Answer: 18√2
Explanation:

which is the second option.
8) Question 8 which function is undefined for x = 0.
Answer: second option y = √ (x - 2)
Explanation.
The square root function is not defined for negative values.
When x = 0, x - 2 = -2, whose square root is not defined.
Therefore, the square root of x - 2 is not defined for x = 0.
Answer:
A. You would trace an argument by seeing if the reasons and evidence are relevant in their support of the claim.
Step-by-step explanation:
A negative number once is negative. Multiplied by another negative number, it's positive. Multiply that positive number by a negative number, and you have a negative number again. Repeating that pattern, with odd numbers being negative, it is true
Answer:
you hgave a 2 and you use 5 and you have to add it and it will be 12 and your answer is 15
Step-by-step explanation: