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____ [38]
3 years ago
6

Please help me with this problem.

Mathematics
1 answer:
MrRa [10]3 years ago
3 0

Step-by-step explanation:

cos(x + 45 \degree) + cos(x  -  45 \degree) =  \sqrt{2}  \\ cosx  \: cos45 \degree - sinx  \: sin45 \degree  \\ + cosx  \: cos45 \degree  + sinx  \: sin45 \degree  =  \sqrt{2}  \\ 2cosx  \: cos45 \degree =  \sqrt{2}  \\ 2cosx \times  \frac{1}{ \sqrt{2} }  =  \sqrt{2}  \\ 2cosx =  \sqrt{2}  \times  \sqrt{2}  \\ 2cosx = 2 \\ cosx =  \frac{2}{2}  \\ cosx = 1 \\ cosx = cos \: 0 \degree \\ \huge \red{ \boxed{ x = 0 \degree}} \\

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In the diagram below, ST is parallel to QR. angle P is 40 degrees, and QST is 2R+8. Find the measure of STR in degrees.
lozanna [386]

Answer:

148º

Step-by-step explanation:

Use the information given:

  • The measure of a straight line is 180º. So angle PST=180-(2R+8)
  • Since ST and QR are parallel, angle PST=angle PQR. Now, angle PQR=180-(2R+8)
  • The sum of a triangle's interior angles is 180º. So 40+180-2R-8+R=180º.
  • Combine like terms, 212-R=180
  • Subtract, -R=-32
  • Convert to positive, R=32º

With R=32º, we can find angle QST and PQR. Angle QST=2(32)+8=64+8=72º. So angle PQR=180º-72º=108º. The sum of a quadrilateral's interior angles is 360º:

  • 32º+72º+108º+STR=360º
  • Combine like terms, 212º+STR=360º
  • Subtract, STR=148º
3 0
3 years ago
2/3 a−7+7/18 a−5 1/6 =?<br><br> 30 points if you get in right.
Masja [62]

The answer will be 19/18a-73/6

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Alice buys some inexpensive bracelets and necklaces as party favors for her jewelry showing. She pays $8 for each necklace (N) a
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Answer:

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Step-by-step explanation:

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Read 2 more answers
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Step-by-step explanation:

here will take the earth's surface as 0.

hence,

the first hole that Sally dug is 5 feet below the surface making its integer -5

the second hole Sally dug was 8 feet below the surface making its integer -8

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