Answer:
Time in which both companies charge same cost = 1.5 hour
Step-by-step explanation:
Given:
Fixed Variable
Premier Landscaping charges $15 $55
Ace Landscaping charges $65
Find:
Time in which both companies charge same cost:
Computation:
Assume in X time both companies charge same cost:
So,
Premier Landscaping total cost = Ace Landscaping total cost
⇒ $15 + $55(Time taken) = $65 (Time taken)
⇒ $15 = $65 (Time taken) - $55(Time taken)
⇒ $15 = $10 (Time taken)
⇒ Time taken = 1.5 hour
Time in which both companies charge same cost = 1.5 hour
Triangle ABC is an isosceles triangle.
Solution:
Given data:
∠ABC = 70° and ∠ACD = 55°
<em>If two parallel lines are cut by a transversal, then alternate interior angles are congruent.</em>
m∠BAC = m∠ACD
m∠BAC = 55°
<em>Sum of the angles in a straight line add up to 180°.</em>
m∠ACD + m∠ACB + m∠ABC = 180°
55° + m∠ACB + 70° = 180°
m∠ACB + 125° = 180°
Subtract 125° from both sides, we get
m∠ACB = 55°
In triangle ABC,
∠BAC = 55° and ∠ACB = 55°
∠BAC = ∠ACB
Two angles in the triangle are equal.
Therefor triangle ABC is an isosceles triangle.
ANSWER

EXPLANATION
The total number of students can be calculated by adding all the frequencies.
From the graph the total frequency is,

The number of students who intend to go into state or local government after graduation is 78.
The percentage of students who intend to go into state or local government after graduation


Answer:
112
Step-by-step explanation:
srry. i meant to put 112 erlier
Answer:
The third equation: 
Step-by-step explanation:
The two points on the line are
and
.
Slope of the line passing through two points
and
is given as:

Here,
and
are
and
.
Therefore, slope is equal to, 
Now, equation of a straight line with slope m and points
and
is given as:

Now, if we use the 2nd form, then
.
So, the equation is given as :