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Lilit [14]
3 years ago
5

Which equation can be used to solve for x in the following diagram? Choose 1 answer. 2x° degrees, 4x° degrees, 150° degrees

Mathematics
2 answers:
andrew-mc [135]3 years ago
8 0

Answer:

The answer is option D.

Step-by-step explanation:

<em>Hi</em><em>,</em><em> </em><em>there</em><em>!</em><em>!</em><em>!</em>

<em>Here</em><em>,</em><em> </em><em>if</em><em> </em><em>you</em><em> </em><em>closely</em><em> </em><em>look</em><em> </em><em>this</em><em> </em><em>figure</em><em>,</em><em> </em><em>you</em><em> </em><em>will</em><em> </em><em>find</em><em> </em><em>that</em><em> </em><em>AB</em><em> </em><em>and</em><em> </em><em>CD</em><em> </em><em>are</em><em> </em><em>interested</em><em> </em><em>at</em><em> </em><em>a point O</em><em>. </em>

<em>now</em><em>,</em><em> </em><em>OP</em><em> </em><em>is</em><em> </em><em>just</em><em> </em><em>a</em><em> </em><em>line</em><em> </em><em>constructed</em><em> </em><em>from</em><em> </em><em>point</em><em> </em><em>"</em><em>O"</em><em>.</em>

<em>now</em><em>,</em><em> </em><em>2</em><em>x</em><em>°</em><em>+</em><em>4</em><em>x</em><em>°</em><em>=</em><em>1</em><em>5</em><em>0</em><em>°</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>is</em><em> </em><em>equation</em><em>. </em>

<em>{</em><em>Because</em><em>, </em><em>They</em><em> </em><em>are</em><em> </em><em>vertically</em><em> </em><em>opposite angle</em><em>}</em>

<em>When</em><em> </em><em>two</em><em> </em><em>st</em><em>.</em><em> </em><em>line</em><em> </em><em>intersects</em><em> </em><em>at</em><em> </em><em>a</em><em> </em><em>point</em><em> </em><em>then</em><em> </em><em>the</em><em> </em><em>abgle</em><em> </em><em>formed</em><em> </em><em>oppositely</em><em> </em><em>are</em><em> </em><em>equal</em><em>.</em>

<em><u>Hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> </u></em><em><u>helps</u></em><em><u>.</u></em><em><u>.</u></em>

maria [59]3 years ago
4 0

Answer:

Option D

Step-by-step explanation:

2x + 4x = 150

In this photo, 2x + 4x are the same as 150,

=> 2x + 4x = 150

We could solve this problem:

=> 6x = 150

=> 6x/6 = 150/6

=> x = 25

2x = 2 * 25 = 50 degrees

4x = 4 * 25 = 100 degrees

100 + 50 = 150 degrees.

So our answer is correct.

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Answer:

(-5 3/4, 1 2/3)

Step-by-step explanation:

the line intersects right before the -6, so it’s not -6. yet, it is as close to -6 as you can get which would be -5 3/4. meaning the closes would be the third choice.

8 0
3 years ago
Which is equivalent to 243 2/5? 3 6 9 12
Anna11 [10]
243^{ \frac{2}{5} } = ( \sqrt[5]{243} )^{2} = 3^{2} =9
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I need help please!!
Sergio039 [100]

Answer:

16 cm2

Step-by-step explanation:

By equa tion of area of triangle: S = 1/2 * height * base

Triangle B: 32  = 1/2 * 8 * x --> x = 8 (cm)

The base of triangle A is half of the base of triangle B so it is 4 cm.

The area of triangle A = 1/2 * 8 * 4 = 16 (cm2)

5 0
2 years ago
The Andersons rented 5 rectangular tables for $35 and 30 chairs for $60. Which quotients can be used to calculate the unit cost
stira [4]

Answer:

Step-by-step explanation:

5 tables for 35 bucks.....unit cost is 35/5 = $ 7 bucks per table

30 chairs for 60 bucks...unit cost is 60/30 = $ 2 bucks per chair

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3 years ago
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Can someone please help me with this asap ... Please and thank you
OLga [1]

Answer:

Step-by-step explanation:

From the question given in the picture,

a). Since, NR bisects a straight angle ∠MNP,

  ∠MNR ≅ ∠PNR

  m∠MNR + m∠PNR = 180°

  2(m∠MNR) = 180°

  m∠MNR = 90°

  Therefore, ∠MNR and ∠PNR are the right angles.

  Since, QN divides ∠MNR in two parts,

  Therefore, ∠QNR will be an acute angle (less than 90°).

  ∠MNR + ∠SNR = ∠MNS

  90° + ∠SNR = ∠MNS

  Therefore, m∠MNS will be more than 90°.

    ∠MNS will be an obtuse angle (greater than 90°).

(b). Since, NR divides ∠MNP and ∠QNS,

    ∠MNR ≅ ∠PNR

     ∠QNR ≅ ∠SNR

     ∠MNQ ≅ ∠PNS

(c). m∠MNR = 90°

     Since, NR bisects ∠QNS,

     ∠QNR ≅ ∠RNS

     m∠QNR = m∠RNS = 30°

     m∠QNR + m∠RNS = 30° + 30°

     m∠QNR + m∠RNS = 60°

     m∠QNS = 60° [Since, m∠QNS = m∠QNR + m∠RNS]

     m∠QNP = m∠QNS + m∠SNP

     m∠QNP = m∠QNS + (m∠PNR - m∠SNR)

     m∠QNP = 60° + (90° - 30°) = 120°        

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