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Leno4ka [110]
2 years ago
7

WILL GIVE BRAINLIEST!!!!! Mariah cuts a rectangle along its diagonal. Two congruent triangles are created. The two angles create

d by the diagonal have a sum of 90°. The smaller angle is 1/5 the measure of the larger angle. Let x represent the measure of the larger angle and let y represent the measure of the smaller angle. What is a system of equations that can be used to find the measures of the two angles?
A. x + y = 90 and y = x - 1/5
B. y = 90 + x and y = 5 + x
C. y = 90 + x and y = 5x
D. x + y = 90 and y = x/5
Mathematics
1 answer:
pogonyaev2 years ago
7 0

Answer:

Stated Below:

Step-by-step explanation:

x + y = 90 because the 2 angles add up to 90 .

Now, m < x = five times  m < y, so x = 5y or y = x/5

So the last choice is the correct one.

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Answer:

x-intercepts = 1,2, and 4, y-intercept = -8

Step-by-step explanation:

x^3 - 7x^2 - 14x - 8 in factored form is equal to (x-1)(x-2)(x-4).

Solving for x-intercepts:

  • We are actually able to solve for all x-intercepts without the given factor. But since we are given one of the factors, our job becomes much easier.
  • Using synthetic division, or long division, we factor out the x-intercept 4. Which leaves us with the polynomial x^2 - 3x + 2.
  • From here we can separate the polynomial into two binomials.
  • x^2 - 3x + 2 = (x-1)(x-2). Giving us all 3 x-intercepts.
  • Using Descartes' rules we can identify before even starting the problem how many real x-intercepts there are (Not needed for this problem).

Solving for y-intercept:

  • The y-intercept is always the coefficient that does not have any assigned x-variables.
  • The coefficient is -8, thus the y-intercept.
  • If unsure of the y-intercept, you can always plug in x = 0. Solving for the y-intercept will give you the value of f(0).
  • If there is no coefficient, the y-intercept is equal to zero.
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