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aev [14]
4 years ago
8

The picture shows the Alamillo bridge in Seville, Spain. In the picture m<1=58 and m<2=24. Find the measure of the supplem

ent of <1= and of <2. Someone please help!

Mathematics
1 answer:
Anna11 [10]4 years ago
6 0

Answer:

Supplement of <1 = 122°

Supplement of <2 = 156°

Step-by-step explanation:

Two pairs of angles are said to be supplementary, if their measures in degrees add up to give us 180°. A supplement of am angle is simply 180° - the measure of that angle.

Given that meadure of angle 1 = 58°, the supplement of angle 1 = 180° - 58° = 122°

Also, if the measure of angle 2 = 24°, the supplement of angle 2 = 180° - 24° = 156°.

Thus:

Supplement of <1 = 122°

Supplement of <2 = 156°

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Select the correct answer from each drop-down menu. Andy is designing a dice tray in the shape of a rectangular prism to use dur
-BARSIC- [3]

Answer:

w = 7 cm

Step-by-step explanation:

Volume = 252 cm³

Height, h = 3cm

Let width = w

Length, l = w + 5

Volume of rectangular prism, V = l * w * h

252 = (w + 5) * w * 3

252 = (w + 5) * 3w

252 = 3w² + 15w

3w² + 15w - 252 = 0

w² + 5w - 84 = 0

w² + 12w - 7w - 84 = 0

w(w + 12) - 7(w + 12) = 0

(w + 12) = 0 or (w - 7) = 0

w = - 12 or w = 7

w cannot be negative

Hence, w = 7 cm

6 0
3 years ago
Please solve the problem ​
jek_recluse [69]

Treat the matrices on the right side of each equation like you would a constant.

Let 2<em>X</em> + <em>Y</em> = <em>A</em> and 3<em>X</em> - 4<em>Y</em> = <em>B</em>.

Then you can eliminate <em>Y</em> by taking the sum

4<em>A</em> + <em>B</em> = 4 (2<em>X</em> + <em>Y</em>) + (3<em>X</em> - 4<em>Y</em>) = 11<em>X</em>

==>   <em>X</em> = (4<em>A</em> + <em>B</em>)/11

Similarly, you can eliminate <em>X</em> by using

-3<em>A</em> + 2<em>B</em> = -3 (2<em>X</em> + <em>Y</em>) + 2 (3<em>X</em> - 4<em>Y</em>) = -11<em>Y</em>

==>   <em>Y</em> = (3<em>A</em> - 2<em>B</em>)/11

It follows that

X=\dfrac4{11}\begin{bmatrix}12&-3\\10&22\end{bmatrix}+\dfrac1{11}\begin{bmatrix}7&-10\\-7&11\end{bmatrix} \\\\ X=\dfrac1{11}\left(4\begin{bmatrix}12&-3\\10&22\end{bmatrix}+\begin{bmatrix}7&-10\\-7&11\end{bmatrix}\right) \\\\ X=\dfrac1{11}\left(\begin{bmatrix}48&-12\\40&88\end{bmatrix}+\begin{bmatrix}7&-10\\-7&11\end{bmatrix}\right) \\\\ X=\dfrac1{11}\begin{bmatrix}55&-22\\33&99\end{bmatrix} \\\\ X=\begin{bmatrix}5&-2\\3&9\end{bmatrix}

Similarly, you would find

Y=\begin{bmatrix}2&1\\4&4\end{bmatrix}

You can solve the second system in the same fashion. You would end up with

P=\begin{bmatrix}2&-3\\0&1\end{bmatrix} \text{ and } Q=\begin{bmatrix}1&2\\3&-1\end{bmatrix}

3 0
3 years ago
If u have 3 dice what is the probability that they will all land on the same number
Sveta_85 [38]

Answer:(1/6)3

or 1/216

Step-by-step explanation:

You have a 1/6      chance of getting the first number.1/6  

chance of the second and so on. Is it just        

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3 years ago
Which choice is NOT a way to find 2 ÷ 5?
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What are the choices
8 0
3 years ago
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Lana71 [14]

Step-by-step explanation:

We have the original equation n ^ 2 + 5 * n - 24, when factoring we have:

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Now by replacing the values:

n = 0

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(0 + 8) * (0 - 3) = - 24

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n = 4

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7 0
3 years ago
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