In exercises 21 and 22, find the indicated angle measure. (See photo)

Mathematics

2 answers:

joja [24]1 year ago

7 0

Measure of angle rsv is 42 and that of lhk is 101

Fudgin [204]1 year ago

5 0

Answer:

42°, 101°

Step-by-step explanation:

These answers come from the angle subtraction postulate.

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What is -13/25 as a decimal

pickupchik [31]

If you would like to know what is - 13/25 as a decimal, you can calculate this using the following step:

- 13/25 = - (4*13)/100 = - 52/100 = - 0.52

Result: - 13/25 as a decimal is - 0.52.

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3. How many solutions does the system of equations have? 2x=-10y+ 6 and x+5y=3

ozzi

Answer:

<h2>3. Infinitely many</h2>

Step-by-step explanation:

$\left\{\begin{array}{ccc}ax+by=c\\dx+ey=f\end{array}\right\\\\(1)\\\text{if}\ a=d,\ b=e,\ c=f,\ \text{then the system of equations has infinitely many solutions}\\Example:\\\left\{\begin{array}{ccc}2x-3y=5\\2x-3y=5\end{array}\right\\(2)\\\text{if}\ a=d,\ b=e,\ c\neq f,\ \text{then the system of equations has no solution}\\Example:\\\left\{\begin{array}{ccc}2x-3y=5\\2x-3y=-5\end{array}\right$

$(3)\\\text{if}\ a\neq d\ \text{or}\ b\neq e,\ \text{then the system of equations has infinitely many solutions}\\Example:\\\left\{\begin{array}{ccc}x-3y=5\\2x-3y=5\end{array}\right$

$\text{We have:}\\\\\left\{\begin{array}{ccc}2x=-10y+6&\text{add 10y to both sides}\\x+5y=3\end{array}\right\\\left\{\begin{array}{ccc}2x+10y=6&\text{divide both sides by 2}\\x+5y=3\end{array}\right\\\left\{\begin{array}{ccc}x+5y=3\\x+5y=3\end{array}\right$