Answer:it would be 2:22
Step-by-step explanation:
If there’s 25 minutes till 10 so therefore it would be 9:35 and since it’s 9:35 four hours and 51 minutes from then would be 2:22 because the minutes would add up to 82 minutes and four hours so your answers to 2:22
Answer:
9, 10, 11, 12, 13
Step-by-step explanation:
(x-2)+(x-1)+x+(x+1)+(x+2) = 55
5x = 55
x = 11
Answer:
c) 6x - 5y = 15
Step-by-step explanation:
Slope-intercept form of a linear equation: ![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
(where m is the slope and b is the y-intercept)
Maria's line: ![y=-\dfrac{5}{6}x+8](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B5%7D%7B6%7Dx%2B8)
Therefore, the slope of Maria's line is ![-\frac{5}{6}](https://tex.z-dn.net/?f=-%5Cfrac%7B5%7D%7B6%7D)
If two lines are perpendicular to each other, the product of their slopes will be -1.
Therefore, the slope of Nate's line (m) is:
![\begin{aligned}\implies m \times -\dfrac{5}{6} &=-1\\m & =\dfrac{6}{5}\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Cimplies%20m%20%5Ctimes%20-%5Cdfrac%7B5%7D%7B6%7D%20%26%3D-1%5C%5Cm%20%26%20%3D%5Cdfrac%7B6%7D%7B5%7D%5Cend%7Baligned%7D)
Therefore, the linear equation of Nate's line is:
![y=\dfrac{6}{5}x+b\quad\textsf{(where b is some constant)}](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B6%7D%7B5%7Dx%2Bb%5Cquad%5Ctextsf%7B%28where%20b%20is%20some%20constant%29%7D)
Rearranging this to standard form:
![\implies y=\dfrac{6}{5}x+b](https://tex.z-dn.net/?f=%5Cimplies%20y%3D%5Cdfrac%7B6%7D%7B5%7Dx%2Bb)
![\implies 5y=6x+5b](https://tex.z-dn.net/?f=%5Cimplies%205y%3D6x%2B5b)
![\implies 6x-5y=-5b](https://tex.z-dn.net/?f=%5Cimplies%206x-5y%3D-5b)
Therefore, <u>option c</u> could be an equation for Nate's line.
Answer:
m∠YWZ=36°
Step-by-step explanation:
Opposite rays are two rays that both start from a common point and go off in exactly opposite directions. Because of this the two rays (WX and WZ) form a single straight line through the common endpoint W.
If rays WX and WZ are opposite, then angle XWZ is straight angle. A straight angle always has the measure of 180°.
Point Y is in the interior of ∠XWZ, then angles XWY and EWZ are supplementary angles (together form straight angle XWZ). Supplementary angles always add up to 180°, then
m∠XWY+m∠YWZ=180°
You are given that
m∠XWY=4(m∠YWZ).
Substitute it into the previous equality:
4(m∠YWZ)+m\angle YWZ=180°
5(m∠YWZ)=180°
m∠YWZ=36°
X^2 - 9x + 18
factors of 18: 1*18, 2*9, 3*6,
the sums of the factors: 19, 11, 9
the positive 18 tells us both factors have the same sign, the negative 9 tells us they are both negative
(x - 3)(x - 6)