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Degger [83]
2 years ago
5

Find the value of x in the figure below. Assume that the lines are parallel.

Mathematics
1 answer:
maks197457 [2]2 years ago
8 0

Answer:

x = 30 degrees

Step-by-step explanation:

Since the lines are parallel, these angles can be seen as vertical angles, which are always the same as their opposite. Therefore,

75 = 2x + 15

To solve this, you would subtract 15 from both sides, getting you closer to finding x.

75 = 2x + 15

 -15         - 15

60 = 2x

Lastly, you would divide both sides to get your value for x.

60 = 2x

/2     /2

30 = x

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2. The face parallel to ABCD is EFGH. Since this is a a rectangular shape,

A = L*H = 12*6 = 72 cm^2

3. The cross-section parallel to ABC is DEF with h = 12 ft, b= 5ft (where h is the height and b is the base of a right angled triangle).

Area, A = 1/2 *b*h = 1/2*5*12 =30 ft^2

4. Plane BDHF is a rectangle shape whose length is the diagonal of ABCD.

Diagonal BD = sqrt (AB^2+BD^2) = sqrt (8^2+7^2) = 10.63 cm.
Perimeter, P = 2(BD+DH) = 2(10.63+6) = 33.26 cm
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3 years ago
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3 years ago
4+3 +3 + 10 + 5 = 25<br> What is the average value?
sergij07 [2.7K]

Answer:

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5 0
3 years ago
Is the point (1,3) a solution to the linear equation 5x-9y=32? explain
harina [27]

There are many ways to check if the point (1,3) is a solution to the linear equation 5x-9y=32.

Let us check it by expressing y in terms of x.

The given expression is 5x-9y=32. If we add -5x to both sides we will get:

-9y=-5x+32

Multiplying both sides by -1 we will get:

9y=5x-32

In order to isolate y, we will divide both sides by 9 to get:

y=\frac{5}{9}x-\frac{32}{9}

Now let us plug in the given value of x=1 from the point (1,3). This should give us y=3. Let us see if we get y=3 when we plug x=1 in the above equation.

y=\frac{5}{9}\times 1-\frac{32}{9}=\frac{5-32}{9}

\therefore y=\frac{-27}{9}=-3

Thus, we see that when x=1, y=-3 and that y\neq 3 and hence we conclude that the point (1,3) is not a solution to the original given linear equation 5x-9y=32.

For a better understanding of the explanation given here a graph has been attached. As can be seen from the graph, (1,3) does not lie on the straight line that represents 5x-9y=32, but (1,-3) does lie on it as we had just found out.





3 0
3 years ago
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