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2 years ago

What is the measure of an angle if the measures of its two adjacent supplementary angles add up to 100°?

Mathematics

1 answer:

Sindrei [870]2 years ago

8 0

<h3>Answer: 130</h3>

Explanation:

Let x be the unknown angle we want to find.

Let y be adjacent and supplementary to x. This means x+y = 180

Let z also be adjacent and supplementary to x. So x+z = 180 also

Subtracting the two equations leads to y-z = 0 and y = z. So effectively we've proven the vertical angle theorem.

Since the supplementary angles to x add to 100, we know that y+z = 100. Plug in y = z and solve for z

y+z = 100

z+z = 100

2z = 100

z = 100/2

z = 50

Therefore,

x+z = 180

x+50 = 180

x = 180-50

x = 130

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PLEASE HELP ASAP!!!!!!!

maria [59]

Answer:

40 cm² = B

178,127514 ≈ LA

218,127514 ≈ SA

Step-by-step explanation:

First and foremost, since we were not given a height, to find the height, take one-third of the area base [area base in this case is ws, since it is a rectangular base]: $\frac{1}{3}(40) = 13 \frac{1}{3}$

This is your height.

Now, to find the lateral area, we use this formula:

$l \sqrt{(\frac{w}{2})^{2} + {h}^{2}} + w \sqrt{( \frac{l}{2})^{2} + {h}^{2}} = L. A.$

Plugging these numbers into this formula will give you an approximate value of 178,127514.

Then you add the lateral area to the base area to get your surface area:

$40 + 178,127514 = 218,127514$

I am joyous to assist you anytime.

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2 years ago

Which of the following statements are true about the graph of f (x) = 1/4 coz ( x + π/3) - 1? Select all that apply.

Jobisdone [24]

Answer:

It has amplitude of $\frac{1}{4}$ .

It is a horizontal shift of the parent function $\frac{\pi}{3}$ units left.

Step-by-step explanation:

We have the function, $f(x)=\frac{1}{4}\cos (x+\frac{\pi}{3})-1$ .

It is clear that the parent function is $g(x)=\cos x$ .

So, we see that,

The amplitude of the function f(x) is $\frac{1}{4}$ , which gives, $\cos x => \frac{1}{4}\cos x$ .

Also, g(x) is translated $\frac{\pi}{3}$ units to the left, which gives, $\frac{1}{4}\cos x => \frac{1}{4}\cos (x+\frac{\pi}{3})$ .

Further, the function is translated 1 unit downward, resulting in $f(x)=\frac{1}{4}\cos (x+\frac{\pi}{3})-1$ .

So, the correct options are,

It has amplitude of $\frac{1}{4}$ .

It is a horizontal shift of the parent function $\frac{\pi}{3}$ units left.

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3 years ago

Plot and connect the points A (3, 1), B (5. 3), C(2,5), D (-1,5), E (-4,3), F (-2, 1), and find the length of DC.

leonid [27]

Answer:

Believe

Step-by-step explanation:

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2 years ago

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A chess player moves a knight from the location (3,2) to (5,1) on a chessboard. If the bottom-left squared is labeled (1, 1), th

Lady bird [3.3K]

1. A chess player moves a knight from the location (3,2) to (5,1) on a chessboard.This means that

(3,2)→(5,1).

the translation rule is

(x,y)→(x+2,y-1) or in words 2 units right and 1 unit down.

2. If the player moves the knight from (5, 1) to (6, 3), then the translation is

(5,1)→(6,3)

and the rule is

(x,y)→(x+1,y+2).

This is translation 1 unit right and 2 units up.

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2 years ago

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Five more than the product of four and a number is equal to the product of three and that same number increased by six.

svetlana [45]

Answer:

The number is 1.

Step-by-step explanation:

If you simplify the equation, it goes to 4x+5=3x+6. Subtract 5 from both sides and you get 4x= 3x+1. The only number that satisfies that equation is 1.

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2 years ago

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