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svetoff [14.1K]
3 years ago
8

Can you please help me

Mathematics
1 answer:
SashulF [63]3 years ago
6 0

9514 1404 393

Answer:

  (x, y, z) = (90, 75, 105)

Step-by-step explanation:

In a parallelogram, adjacent angles are supplementary, and opposite angles are congruent.

  (x -15) +(x +15) = 180

  2x = 180

  x = 90

Angles y and (x-15) are opposites, so ...

  y = x -15 = 90 -15 = 75

Similarly, for z ...

  z = x +15 = 90 +15 = 105

The values of x, y, and z are 90, 75, and 105, respectively.

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Plz help! Will give brainliest and points!
bekas [8.4K]
Option 3 is the answer
7 0
3 years ago
Here is a tunnel for a toy train.
jonny [76]

The <em>total</em> area of all six faces of the tunnel is 614.197\pi square centimeters.

<h2>Procedure - Surface area of a tunnel for a toy train</h2>

The surface area of the solid (A) used to represent the tunnel for a toy train is the sum of its six faces (two <em>semicircular</em> sections, inner <em>semicircular</em> arc section, outer <em>semicircular</em> arc section, two rectangles).

<h3>Determination of the surface area of the tunnel based on information of the diagram</h3>

We calculate the surface area as following:

A = 2\cdot \frac{\pi}{2} \cdot [(10\,cm)^{2}-(8\,cm)^{2}] + \pi\cdot (8\,cm)\cdot (30\,cm) + \pi\cdot (10\,cm)\cdot (30\,cm) + 2\cdot (2\,cm)\cdot (30\,cm)

A = 614.197\pi\,cm^{2}

The <em>total</em> area of all six faces of the tunnel is 614.197\pi square centimeters. \blacksquare

To learn more on surface areas, we kindly invite to check this verified question: brainly.com/question/2835293

5 0
2 years ago
11. The Leonin family used 90 kWh for their electric consumption for the month of
almond37 [142]

Answer:

The electric bill of the Leonin family was of $ 877,626.

Step-by-step explanation:

Given that the Leonin family used 90 kWh for their electric consumption for the month of August, if the power consumption costs P9.7514 per kWh, to determine how much is their electric bill, the following calculation must be performed:

9.7514 x 90 = X

877.626 = X

Thus, the electric bill of the Leonin family was of $ 877.626.

3 0
3 years ago
Solve −12 − 2x &lt; −3x + 2 &lt; −2(x − 7). 14 over 5 &lt; x &lt; negative 12 over 5 −12 &lt; x &lt; 14 14 &lt; x &lt; −12 12 ov
zepelin [54]

-12-2x < -3x+2 < -2(x-7)\\\\-12-2x < -3x+2 < -2x+14\ \ \ \ |+2x\\\\-12 < -x+2 < 14\ \ \ \ |-2\\\\-14 < -x < 12\ \ \ \ |\text{change the signs}\\\\14 > x > -12

3 0
4 years ago
Match Term Definition Diameter A) a segment between two points on a circle that passes through its center Circumference B) a pie
Viefleur [7K]
The correct answer to this question is:

Diameter - B) a segment <span>between two points on a circle that passes through its center radius
</span>
Circumference - <span> F) the distance around a circle
</span><span>
Radius - </span><span>C) Circle A and a line segment connecting points B and C which are on the circle.
</span><span>
secant - </span><span>E) Circle A and a line segment connecting points B and C which are on the circle.
</span><span>
concentric circles - </span><span>D) Two circles that share the same center.
</span><span>
arc - </span><span>A) a piece of the circumference of a circle circumference.</span>
5 0
4 years ago
Read 2 more answers
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