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Y_Kistochka [10]
3 years ago
5

One way to build a staircase is to attach triangular blocks to an angled support, as shown above. If the support makes a 32 angl

e with the floor, what must the measure of angle 1 be so that the steps are parallel to the floor?
Mathematics
2 answers:
blsea [12.9K]3 years ago
8 0
Angle 1 is an alternate interion angle to the angle of 32°.
Therefore, angle 1 must be 32°.
skad [1K]3 years ago
5 0

Answer:  m∠1 = 32°

Step-by-step explanation:

Since we have given that

The angled support making angle with the floor = 32°

So, we need to find the measure of angle 1 so that the steps are parallel to the floor.

As we know that "To make parallel to the floor , there should be alternate interior angle which must be equal."

So, m∠1 = 32° ( the angled support making angle with the floor)

Hence, m∠1 = 32°

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Ymorist [56]

Answer:

1/3

Step-by-step explanation:

51/6 = 51/6

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= 2/6

6 0
3 years ago
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The diameter of a cone is 1.5 meters, the height is 1.5 times the radius, what is the volume?​
seropon [69]

Answer:

.66 cu. meters

Step-by-step explanation:

volume for cone is V=1/3 x TT x r^2 x height

TT (pi) is 3.14

radius is 1/2 of diameter (1/2 x 1.5 =  .75 )

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V= 1/3 x 3.14 x .75^2 x 1.125

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6 0
2 years ago
Twice the sum of a number and 8 is the same aa the difference of 3 and the number. Find the equation that could be used to find
Nezavi [6.7K]

Answer:

f your number is x, then the difference between that number and 8 would be x-8. Twice that is 2(x-8)

 

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2(x-8)=3(x+3)

2x-16=3x+9

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5 0
3 years ago
What is the y value of the vertex of the function f(x)=-(x-3)(x+11)
AnnyKZ [126]

Answer:

49

Step-by-step explanation:

Because there is a minus sign infront of x-3, we can convert x-3 into the negative form:

- * x

- * -3

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(-x + 3)(x + 11)

Now expand the brackets with the formula:

(a + b)(c + d) = ac + ad + bc + bd

-x * x = -x²

-x * 11 = -11x

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3 * 11 = 33

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The formula for finding the x coordinate of a vertex in a quadratic equation is:

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Plug known variables in:

x = \frac{-(-8)}{2(-1)}

x = \frac{8}{-2}

x = -4

Now, to find the y coordinate, plug this variable back into the quadratic equation:

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y = -(-4^2) - (32) + 33\\y = -16 + 32 + 33\\\\

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So the y coordinate of the vertex is 49.

Hope this helps!

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Oksana_A [137]

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