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DerKrebs [107]
3 years ago
15

Given the rhombus, find x and y Please help!!

Mathematics
2 answers:
NeX [460]3 years ago
7 0
Your answer would be Y=158 X=22
Leno4ka [110]3 years ago
5 0

Answer:

we know that, the point where the diagonals meet creates angles and these angles can indeed sum upto 360 degrees. and these angles, most likely are 90 degrees, since 90+90+90+90=360 degrees.( and the diagonals of a rhombus meet at approximately right angles)

lets take a triangle out of the rhombus, ( the triangle with angle 22)

here, we have two angles, 22 degrees and 90 degrees( angle at the diagonals); we also know that interior angles of a triangle is 180 degrees.

so, 22+90+unknown = 180 degrees

112+ unknown=180

unknown = 180 -112

                = 68 degrees

we have found that the angle next to x is 68 degrees and that interior angles of the rhombus is 360, which means that each interior angle sums upto 90 degrees. lets take the angle beside x as z. since we have found that z= 68 degrees, 90-68 degrees gives x which is 22 degrees.

so, x= 22 and y= 90

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1 is 25% of 4 hope this helps you
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timofeeve [1]

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4 0
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Suppose that the functions q and r are defined as follows.
satela [25.4K]

Answer:

(r o g)(2) = 4

(q o r)(2) = 14

Step-by-step explanation:

Given

g(x) = x^2 + 5

r(x) = \sqrt{x + 7}

Solving (a): (r o q)(2)

In function:

(r o g)(x) = r(g(x))

So, first we calculate g(2)

g(x) = x^2 + 5

g(2) = 2^2 + 5

g(2) = 4 + 5

g(2) = 9

Next, we calculate r(g(2))

Substitute 9 for g(2)in r(g(2))

r(q(2)) = r(9)

This gives:

r(x) = \sqrt{x + 7}

r(9) = \sqrt{9 +7{

r(9) = \sqrt{16}{

r(9) = 4

Hence:

(r o g)(2) = 4

Solving (b): (q o r)(2)

So, first we calculate r(2)

r(x) = \sqrt{x + 7}

r(2) = \sqrt{2 + 7}

r(2) = \sqrt{9}

r(2) = 3

Next, we calculate g(r(2))

Substitute 3 for r(2)in g(r(2))

g(r(2)) = g(3)

g(x) = x^2 + 5

g(3) = 3^2 + 5

g(3) = 9 + 5

g(3) = 14

Hence:

(q o r)(2) = 14

8 0
3 years ago
The Graduate Management Admission Test (GMAT) is taken by individuals interested in pursuing graduate management education. GMAT
Nikitich [7]

Answer:

<em>H</em>₀: <em>μ </em>= 550 vs. <em>Hₐ</em>: <em>μ </em>< 550.

Step-by-step explanation:

A researcher believes that the mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will be less than 550.

The mean sore for all test‑takers is <em>μ </em>= 550 with a standard deviation of <em>σ</em> = 120.

A random sample of <em>n</em> = 250 college seniors in the Philippines interested in pursuing graduate management education who plan to take the GMAT were selected.

The null and alternative hypotheses for the study of the performance on the GMAT of college seniors in the Philippines is as follows:

<em>H</em>₀: The mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will not be less than 550, i.e. <em>μ </em>= 550.

<em>Hₐ</em>: The mean scores for this year's college seniors in the Philippines who are interested in pursuing graduate management education will be less than 550, i.e. <em>μ </em>< 550.

5 0
3 years ago
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