Answer:
The value of x is 17
Step-by-step explanation:
The sum of the angles in a triangles is 180°
From the question:
In ΔVWX,
m∠V=(4x+3) ∘
m∠W=(x+7) ∘
m∠X=(5x+0) ∘ .
Hence:
m∠V + m∠W + m∠V = 180°
4x + 3 + x + 7 + 5x + 0 = 180°
Collect like terms
4x + x + 5x + 3 + 7 + 0 = 180°
10x + 10 = 180°
Subtract 10 from both sides
10x + 10 - 10 = 180° - 10
10x = 170
Divide both sides by 10
10x/10 = 170/10
x = 17
The value of x is 17
Answer:
49Pi
Step-by-step explanation:
Area of a circle is = to pi(r)^2
The common difference based on the sequence given is 15.
<h3>How to illustrate the sequence?</h3>
It should be noted that the sequence given Isa arithmetic sequence.
The common difference will be the second term minus the first term. This will be:
= 101 - 86
= 15
In conclusion, the difference is 15.
Learn more about sequence on:
brainly.com/question/6561461
#SPJ1
Answer:
BD = 12 :)
Step-by-step explanation:
Alright, we'll need the Pythagorean theorem for this!
So, the length of AC is 10. That means the lengths of AD and DC are both half of that, which is 5 :)
DC = 5
We already know that BC = 13, so we can plug in these values into the pythagorean theorem for the right triangle BDC:
BD^2 + DC^2 = BC^2
BD^2 + 5^2 = 13^2
BD^2 + 25 = 169
BD^2 = 169 - 25 = 144
BD = √144 = 12 :)
A] From the graph, there is strong correlation between the satisfaction score and salary, this is implied by the closeness of the points on the graph.
b] Given that Hilda use the function y=0.0005x +60 to model the relationship, the score for $65000 will be given as follows;
y=0.0005(65000)+60
y=92.5
The number 0.0005 shows the rate of change of job satisfaction with salary