Based on the calculations, the length of side CM is equal to 4 units.
<h3>How to calculate the length of side CM?</h3>First of all, we would determine the measure of angle B by applying the law of cosine as follows:
B² = A² + C² - 2(A)(C)cosB
<u>Given the following data:</u>
A = BC = 5
B = AC = 4√2
C = AB = 7
Substituting the given parameters into the formula, we have;
(4√(2))² = 5² + 7² - 2 × 5 × 7 × cosB
cos(B) = ((4√(2))² - (5² + 7²))/(-2×5×7)
cos(B) = 0.6
B = cos⁻¹(0.6)
B = 53.13°.
Now, we can find side CM by using sine trigonometry:
sin(B) = CM/BC
CM = BC × sin(B)
CM = 5 × sin(53.13°)
CM = 5 × 0.8
CM = 4 units.
Read more on cosine law here: brainly.com/question/11000638
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Answer:
Step-by-step explanation:
Given the rhombus CDEF, sides FC and CD are adjacent sides.
Using coordinate geometry, to proof that a quadrilateral is a square, with regards to the slope, the slope of adjacent segments must be negative reciprocals.
In fact, by definition: Two lines with slopes are perpendicular if:
Therefore if :
For the rhombus to be a square:
Slope of CD
Answer:
Step-by-step explanation:
Use the x-swap-y method to find the inverse:
Answer:
The graph that includes points (-3,-3) and (0,3)
Step-by-step explanation:
In the pictures attached, the options are shown.
The equation:
y+3=2(x+3)
has the point-slope form, which is:
y-y₁=m(x-x₁)
where (x₁, y₁) is a point on the line and <em>m</em> is its slope. This means that (-3,-3) is on the line. To know the y-intercept of the line, we have to replace x = 0 into the equation, as follows:
y+3=2(0+3)
y+3 = 6
y = 6 - 3
y = 3
Then, point (0, 3) is on the line.
