Answer: Third option is correct.
Step-by-step explanation:
Since we have given that
There is a cyclic quadrilateral.
As we know that "Sum of opposite angles in a cyclic quadrilateral is supplementary.":
so, it becomes,
![86^\circ+\angle 1=180^\circ\\\\\angle 1=180^\circ-86^\circ\\\\\angle 1=94^\circ](https://tex.z-dn.net/?f=86%5E%5Ccirc%2B%5Cangle%201%3D180%5E%5Ccirc%5C%5C%5C%5C%5Cangle%201%3D180%5E%5Ccirc-86%5E%5Ccirc%5C%5C%5C%5C%5Cangle%201%3D94%5E%5Ccirc)
Hence, the measure of ∠1 = 94°
Therefore, Third option is correct.
80+10x is the expression. To find the cost for 9 guests, simply plug in 9 for x. This becomes an equation reading 80+10(9)=170. The total cost for 9 guests is $170.00.
10 kids total
picking Truman would be 1 out of 10 or 1/10
then there would be 9 kids left so picking Ryan would be 1 out of 9 or 1/9
the probability of picking both would be 1/10 * 1/9 = 1/90
Answer:
we have, 1953125=5⁹, so it cannot be a perfect square. If the last digit of a given number is 5, then the last three digits must be perfect squares, 025 or 225 or 625. Otherwise, that number cannot be a perfect square. And as 125 is not a perfect square, so no number ending with 125 can be a perfect square
Answer:
![f(x)-g(x)=\frac{-1}{4}x^{4}-3x^{3}](https://tex.z-dn.net/?f=f%28x%29-g%28x%29%3D%5Cfrac%7B-1%7D%7B4%7Dx%5E%7B4%7D-3x%5E%7B3%7D)
Step-by-step explanation:
This is a subtraction between polynomials, since both functions are polynomials, hence, to solve the problem with need to perform the subtraction, by coefficients.
![f(x)= \frac{1}{2}x^{4}+0x^{3}-x^{2}\\\\g(x)=\frac{3}{4}x^{4}+3x^{3}-x^{2}](https://tex.z-dn.net/?f=f%28x%29%3D%20%5Cfrac%7B1%7D%7B2%7Dx%5E%7B4%7D%2B0x%5E%7B3%7D-x%5E%7B2%7D%5C%5C%5C%5Cg%28x%29%3D%5Cfrac%7B3%7D%7B4%7Dx%5E%7B4%7D%2B3x%5E%7B3%7D-x%5E%7B2%7D)
By performing the subtraction, we have:
![f(x)-g(x)=\frac{-1}{4}x^{4}-3x^{3}](https://tex.z-dn.net/?f=f%28x%29-g%28x%29%3D%5Cfrac%7B-1%7D%7B4%7Dx%5E%7B4%7D-3x%5E%7B3%7D)