Answer:
b = 40
Step-by-step explanation:
A heater repairman charges $40 to visit a home, plus $70 per hour for the time he spends on the repair.
This situation can be described by an equation of the form y=mx+b , where
x = the time in hours
y = the cost in dollars.
What is the value of b in this equation?
A heater repairman charges $40 to visit a home, plus $70 per hour for the time he spends on the repair
Writing the above in an equation =
y = $70 × x + $40
y = 70x + 40
Therefore, the value of b in the expression = 40
Answer:
f(-2) = -6
Step-by-step explanation:
2(-2-3) + 4
2(-5) + 4
-10 + 4
-6
Answer:
(b) 27°
(c) 34°
( ) 27°
Step-by-step explanation:
Angle relations involving lines, parallel lines, and triangles come into play here.
- angles of a linear pair total 180°
- angles of a triangle total 180°
- vertical angles are congruent
- corresponding angles at a transversal crossing parallel lines are congruent
<h3>(b)</h3>
The interior angles at W and Y will be the supplement of the exterior angles at those points. The sum of interior angles is 180°.
(180° -6x) +90° +(180° -4x) = 180°
270° = 10x . . . . . . . . . add 10x and simplify
27° = x
<h3>(c)</h3>
The vertical angles at S are congruent. This tells us ...
3x +∠PSQ = 4x
∠PSQ = x
The sum of angles in triangle PSQ is 180°, so we have ...
x +x +(180° -68°) = 180°
2x = 68° . . . . . . . . add 60°-180°
x = 34° . . . . . . . . . divide by 2
<h3>( )</h3>
Angles BAD and EDF are corresponding angles, hence congruent. The sum of angles in triangle BAD is 180°.
2x +2x +72° = 180°
4x = 108° . . . . . . subtract 72°
x = 27° . . . . . . . . divide by 4
Answer:
139.5 cm²
Step-by-step explanation:
12 · 9
108 cm²
7 · 9
63
63 ÷ 2
31.5 cm²
108 cm² + 31.5 cm²
139.5 cm²
The speed of the wind as they travel is 105 miles per hour.
<h3>
Speed</h3>
Speed is the ratio of total distance to total time taken. It is given by:
Speed = distance / time
Let s represent the speed of the wind. Hence:
(525 - s)5 = 2100
s = 105 mph
The speed of the wind as they travel is 105 miles per hour.
Find out more on Speed at: brainly.com/question/4931057