Answer:
m∠1=111°
Step-by-step explanation:
Since angle 1 is an exterior angle on a straight line, it is the sum of the two outer angles of the triangle.
64+47=111.
The domain is

and the range is

Domain is x values (horizontal axis), while range is y values (vertical axis). On a line like this one, domain is calculated from the left most point to the right most, while range is calculated from the down most to the upmost.
Because this line is a solid line rather than a dotted line, less than or equal to

signs are used rather than just

less than signs.
Answer:
units
Step-by-step explanation:
The Line 1 has equation x + y = 5 ....... (1) , and
Line 2 has equation x + y = 3 .......... (2)
Now, we have to find the perpendicular distance between line 1 and line 2.
We can say that (3,0) is a point on line 2 as it satisfies the equation (2).
Now, the perpendicular distance from point (3,0) to the line 1 will be given by the formula
units (Answer)
We know that the perpendicular distance from any external point (
) to a given straight line ax + by + c = 0 is given by the formula
.
Sarah sold 66 posters
<em><u>Solution:</u></em>
Let "a" be the number of shirts sold
Let "b" be the number of posters sold
<em><u>Sarah sold a total of 178 t shirts and posters at a festival</u></em>
Therefore,
number of shirts sold + number of posters sold = 178
a + b = 178 ----------- eqn 1
<em><u>She sold 46 more tshirts than poster</u></em>
Number of shirts sold = 46 + number of posters sold
a = 46 + b --------- eqn 2
<em><u>Substitute eqn 2 in eqn 1</u></em>
46 + b + b = 178
2b = 178 - 46
2b = 132
b = 66
Thus she sold 66 posters