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balandron [24]
2 years ago
15

What is the measure of angle x?

Mathematics
1 answer:
Blababa [14]2 years ago
8 0

Answer:

180

Step-by-step explanation:

Find the value of X in triangles by subtracting known angle measurements from 180 degrees. Since the value of all angles within a triangle must equal 180 degrees, if you know at least two angles, you can subtract them from 180 to find the missing third angle.

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Liev is assembling a coffee table. The diagram below is from the instruction manual and shows the table after the first two legs
elixir [45]

Answer:

The support is 41 inches long.

Step-by-step explanation:

There's two ways we can do this: one with the diagonal formula and one without.

Since we know that Point C is halfway down leg A and that the table legs are 18 inches tall, Point C is 9 inches down leg A. The support, from Point C to Point D, will form a diagonal, the length of which we need to find. We know from the diagram that the width of the table is 24 inches and that its length is 32 inches. We have a height, length, and width for this problem, so let's imagine a rectangular prism, which has all three of those things, instead of a table. The formula for finding a rectangular prism's diagonal is d = \sqrt{l^{2} + w^{2} + h^{2} }. Let's put in those numbers:

d = \sqrt{32^{2} + 24^{2} + 9^{2} } =  41

Therefore, the support is 41 inches long.

--------------------------------------------------------------------------------------------------------------

Another way you can do this is to use the Pythagorean Theorem twice: once to find the diagonal of the tabletop and another time for the support.

24^{2} + 32^{2} = c^{2} \\576 + 1024 = c^2\\1600 = c^2\\\sqrt{1600} = \sqrt{c^2}\\ 40 = c

Now that we know the corner-to-corner distance for the tabletop, we'll use that and the 9 inch distance for Point C to find the distance between C and D:

9^{2} + 40^{2} = c^{2}\\ 81 + 1600 = c^2\\1681 = c^2\\\\sqrt{1681} = \sqrt{c^2} \\41 = c

Again, the support is 41 inches long.

4 0
3 years ago
Binomial theorem Expand (5 - y)3
Snowcat [4.5K]

Answer:

(5 - y) ^3 = 125 - 75y + 15y^2 - y^3

Step-by-step explanation:

Binomial expression

1

1. 1

1. 2. 1

1. 3. 3. 1 --------power of 3

( 5 - y) ^3

( 5 - y) (5 - y) (5 - y)

( a + b) ^3 = a^3 + 3a^2b + 3ab^2 + b^3

a = 5

b = -y

( 5 - y) ^2 = ( 5 - y) (5 - y)

= 5( 5 - y) - y(5 - y)

= 25 - 5y - 5y + y^2

=(25-10y+y^2)

( 25 - 10y + y^2)( 5 - y)

= 5(25 - 10y + y^2) - y( 25 - 10y + y^2)

= 125 - 50y + 5y^2 - 25y + 10y^2 - y^3

Collect the like terms

= 125 - 50y - 25y + 5y^2 + 10y^2 - y^3

= 125 - 75y + 15y^2 - y^3

7 0
3 years ago
(find unit rate) Julio runs 18.6 miles in 3 hours
Romashka-Z-Leto [24]

You do 18.6 ÷ 3 and that equals 6.2

6 0
3 years ago
What is the range of the heights of the girls?
Softa [21]

Answer:

Formula of range is HIGHEST VALUE - LOWEST VALUE....

8 0
1 year ago
What is 8 16/1000 simplified?
dimaraw [331]
8 16/1000 = 8 2/125
Keep whole number the same, divide the numerator and denominator by 8.
8 0
2 years ago
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