Answer:
The ratio of the area of triangle XBY to the area of triangle ABC is 
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor and the ratio of its areas is equal to the scale factor squared
In this problem
Triangles XBY and ABC are similar, because the corresponding internal angles are congruent
see the attached figure to better understand the problem
step 1
Find the scale factor
Let
z-------> the scale factor
we have
substitute
step 2
Find the ratio of the area of triangle XBY to the area of triangle ABC
Remember that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
we have
-----> scale factor
so
Answer:
b
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange both equations into this form
x - 6y = - 30 (subtract x from both sides )
- 6y = - x - 30 ( divide all terms by - 6 )
y = 
x + 5 ← in slope- intercept form
with slope m =
y = - 6x + 5 ← in slope- intercept form
with slope m = - 6
Parallel lines have equal slopes.
Clearly the lines are not parallel.
The product of the slope of perpendicular lines equals - 1, thus
× - 6 = - 1
Hence the lines are perpendicular → b
<h2>
Answer: y - 2 = -³/₂ (x + 6)</h2>
Step-by-step explanation:
The slope of this line = (y₂ - y₁) ÷ (x₂ - x₁)
= (2 - (- 1 )) ÷ (-6 - (-4))
= 3 ÷ (-2)
= - ³/₂
The equation of the line can be determined using the point-slope form:
y - y₁ = m(x - x₁)
⇒ y - 2 = -³/₂(x - (-6))
y - 2 = -³/₂ (x + 6)
Answer: z score is -19
Work Shown:
x = 22 is the raw score
mu = 60 is the mean
sigma = 2 is the standard deviation
z = (x-mu)/sigma = formula to find z scores
z = (22 - 60)/2
z = -38/2
z = -19
The z score of -19 means we are 19 standard deviations below the mean. Anything beyond 3 standard deviations is often considered unusual/rare as most of the data in the normal distribution is within 3 standard deviations (approximately 99.7% of the distribution)
