Answer:110 degrees
Step-by-step explanation:
L1 and L2 are parallel so the angle above angle 1 is 70 degrees too. Then the angle that is right next to that 70 degrees is 110 because a straight line equal 180 degrees. And whatever angle that is diagonal from angle 1 is the same degrees. So, since it's 110 degrees diagonal from angle 1 then angle 1 is also 110 degrees.
Answer:
y = (7/2)x -20
Step-by-step explanation:
The given line is in slope-intercept form, so you can read its slope from the equation.
y = mx + b . . . . . m is the slope; b is the y-intercept
y = -(2/7)x + 9 . . . . . . has slope -2/7
The perpendicular line will have a slope that is the negative reciprocal of this, so will be ...
m = -1/(-2/7) = 7/2
We can use this and the given point to write the equation in point-slope form.
y = m(x -h) +k . . . . . . line with slope m through point (h, k)
We have m = 7/2, (h, k) = (4, -6) so the equation is ...
y = (7/2)(x -4) -6
y = (7/2)x -20
Vertical lines crosses the x axis and is given by x = x1
Required equation is x = 0.4
The value of the painting after 5 years is $44320.36
<h3>Exponential function</h3>
The formula for calculating the exponential function is expressed as:
Given the following parameters
a = 3800
b = 1+r = 1 + 0.026 = 1.026
Substitute the given parameters into the formula
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Hence the value of the painting after 5 years is $44320.36
Learn more on exponential function here: brainly.com/question/12940982
<span>The 6 playing cards may be arranged into 6 factorial (!) combinations, since the order of the cards does not matter, and since for each card we select, there is now one less card to choose from (for example 6 cards to start, then 5 to choose from, then 4, etc.)
So the number of combinations is 6! = 6 x 5 x 4 x 3 x 2 x 1 = 720 combinations.</span>