Answer:
72
Step-by-step explanation:
RQS + KLM = 180 degrees, because RQS = QLK, and QLK + KLM = 180 degrees (because they are on the same line).
Substitute the values for RQS and KLM:
x-36 + x = 180 -->
2x-36=180 -->
2x = 144 -->
x=72
Answer:
y-int: (0, 13)
Equation: y = -2x + 13
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
<em>m</em> = slope
<em>b</em> = y-intercept
Step 1: Define variables
<em>m</em> = -2
Random point (5, 3)
Step 2: Plug in known variables
y = -2x + b
Step 3: Find y-intercept <em>b</em>
3 = -2(5) + b
3 = -10 + b
b = 13
Step 4: Rewrite equation
y = -2x + 13
Answer:
The angle that will be congruent to angle 4 is :
Angle 1
Step-by-step explanation:
It is given that:
angle 4 and angle 5 are complements.
Also, angle 1 and angle 5 are complements.
Congruent complementary Theorem--
It states that if two angles are complementary to the same angle, then the two angles are congruent to each other.
Here both angle 1 and angle 4 are complementary to the same angle i.e. angle 5.
Answer:
Step-by-step explanation:
Diego is correct they have to be similar
we can say that there are 15 male teachers for every 35 female teacher
![\stackrel{\textit{\large ratio 1}}{\cfrac{15}{35}\qquad \cfrac{male}{female}} ~\hspace{10em} \stackrel{\textit{\large ratio 2}}{\cfrac{\stackrel{3}{~~\begin{matrix} 15 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{\underset{7}{~~\begin{matrix} 35 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \cfrac{3}{7}\qquad \cfrac{male}{female}}](https://tex.z-dn.net/?f=%5Cstackrel%7B%5Ctextit%7B%5Clarge%20ratio%201%7D%7D%7B%5Ccfrac%7B15%7D%7B35%7D%5Cqquad%20%5Ccfrac%7Bmale%7D%7Bfemale%7D%7D%20~%5Chspace%7B10em%7D%20%5Cstackrel%7B%5Ctextit%7B%5Clarge%20ratio%202%7D%7D%7B%5Ccfrac%7B%5Cstackrel%7B3%7D%7B~~%5Cbegin%7Bmatrix%7D%2015%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%7D%7D%7B%5Cunderset%7B7%7D%7B~~%5Cbegin%7Bmatrix%7D%2035%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%7D%7D%5Cimplies%20%5Ccfrac%7B3%7D%7B7%7D%5Cqquad%20%5Ccfrac%7Bmale%7D%7Bfemale%7D%7D)