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miskamm [114]
3 years ago
13

If the length of the shorter diagonal AC of rhombus ABCD is 7 and measure of angle ABC = 60. Find the measure of angle BAC

Mathematics
1 answer:
belka [17]3 years ago
3 0

Answer:

120 degrees

Step-by-step explanation:

It has to equal to 360, and so since angle B is 60 degrees, and it's the smaller angle, A and C have to be 120 degrees, and D has to be 60 degrees. Hope this helps.

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Rachel needs to save $1.015 to buy a new scooter. If she saves $35 each
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Answer:

Step-by-step explanation:

From the problem statement, we can setup the following equation:

35M = 1015

where M is the number of months that Rachel has saved up money.

Dividing both sides by 35, we get the answer:

M = 29

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Which is the greatest common factor of 18 and 54?
AysviL [449]

Answer:

18

Step-by-step explanation:

18 can be divided by 18 =1

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Answer:

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3 years ago
Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = x2 + x + 1
Brrunno [24]

Answer:

Option A: Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = x2 + x + 1

Step-by-step explanation:

1) The axis of symmetry of quadratic graph is the vertical line that divides the graph curve into two congruent halves. In this case, it is: x = -0.5

2) Vertex is the point at which the graph curve changes direction or simply coordinates of the crest or trough of the curve.

The graph given has a trough with the coordinates: x = -0.5, y = 0.75. This is (-0.5, 0.75)

3) The roots of a quadratic equation are the points where the curve crosses the x-axis. In this case, it doesn't cross and so we have imaginary roots.

Now, formula for line of symmetry is; x = -b/2a

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Our first and second terms will now be;

x² + x

Looking at the options, the only one with x² + x as it's first 2 terms is option A.

Thus, the complete equation will be x² + x + 1

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2 years ago
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