Answer:
93 degrees
Step-by-step explanation:
The angles in a triangle add to be 180 so
180-56-31=x
x=93
Answer:
Step-by-step explanation:

The numerator of the rational expression the money he earned for 'x' hours
The rate at which William is paid for each hour in excess of 40 hours 24.
x = 50 hours = (40 + 10 ) hours
The amount paid for excess 10 hours = 24 *10 = 240
Total amount earned for the week = 480 + 240 = 720
Given:
The equation of given line is

A line is perpendicular to the given line and passes through the point (9,5).
To find:
The equation of the perpendicular line.
Solution:
We have,

On comparing this equation with slope intercept form
, we get

It means, the slope of the given line is 3.
The product of slopes of two perpendicular lines is -1.



Point slope form of a line is

Where, m is the slope.
The slope of perpendicular line is
and it passes through the point (9,5). So the equation of the line is



Adding 5 on both sides, we get


Therefore, the equation of required line is
.
Answer:
The total length is 1123 feet.
a) if the model is 30 inches long, the first thing we need to do is write inches in feets, so 1 feet is equivalent to 12 inches.
so 30 inches are 30/12 = 2.5 feets.
the scale is the ratio between the feets in the the two lengths.
1123/2.5 = 449.2
so the scale is 1:449.2
so each feet in the model is equivalent to 449.2 feets in the enterprise.
b) if the model is 2 feet long, then:
1123/2 = 561.5
the scale is 1:561.5
so each feet in the model is equivalent to 561.5 feets in the enterprise.
Let she work for x hours as carpenter !
so earned money = 20x
and for blacksmith she must work for 30-x hours
so earned money = (30-x) ×25
so putting in eqn;
20x+25(30-x) = 690
so, x= 60/5 = 12
so she works for carpenter for 12 hrs and 30-12= 18 hrs for blacksmith !!.....answer !!