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abruzzese [7]
4 years ago
5

Given that the measure of Angle DAC = 40 degrees and the measure of Angle ABC = 120 degrees, find the indicated measures for eac

h question. Find the value of x and y.

Mathematics
1 answer:
eimsori [14]4 years ago
3 0

Answer:

<u>x = 120°, y = 20°</u>

Step-by-step explanation:

Let's recall that the four interior angles in any rhombus must have a sum of 360 degrees.  In addition, the opposite interior angles must be equivalent, and the adjacent angles have a sum of 180 degrees.  

∠ ABC and ∠ ADC are opposite interior angles, so they must have equivalent measurements, therefore x = 120 degrees.

To find the value of y, we use this equation because the interior angles of the Δ ADC add up to 180:

y = 180 - 120 - 40

y = 180 - 160

y = 20 degrees ⇒ z = 40 degrees

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Given the point (1, 3) and a slope of 2, write an equation in point-slope form.
Sunny_sXe [5.5K]

Answer:

y=2x+1

Step-by-step explanation:

Since we are given a point and a slope, we can use the point slope formula

y-y_{1} =m(x-x_{1})

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y-3=2(x-1)

Now, we need to get the equation into point slope form: y=mx+b

To do this, we need to get y by itself

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The equation is in y=mx+b form, so our final equation is:

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6 0
3 years ago
One serving of muffins takes 2/3 cup of muffin mix. how many cups of muffin mix would it take to make 12 servings of muffins
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4 0
3 years ago
PLEASE SOLVE. FIRST ANSWER WITH EXPLANATION GETS MOST BRAINLIEST AND 10 POINTS. THANKS ;)
Murljashka [212]
Total angle sum will always equal 360 degrees. Due to vertical angles theorem, we know the angles opposite the polynomials also equal the polynomials. So, we can double both of them (like solving for perimeter) and sum them to 360.

Thus, 360 = 2(2x + 10) + 2(x+ 5)

360 = 2(2x + 10 + x + 5)
360 = 2(3x + 15)
180 = 3x + 15
165 = 3x
x = 55
7 1
3 years ago
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