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tangare [24]
2 years ago
12

In ΔXYZ, ∠X=82° and ∠Y=84°. ∠XWZ=90° and XY=97. Find the length of XW to the nearest integer.

Mathematics
1 answer:
ivanzaharov [21]2 years ago
7 0

Check the picture below to the left, let's use those sides with the law of sines

\textit{Law of sines} \\\\ \cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{sin(14^o)}{97}=\cfrac{sin(84^o)}{XZ}\implies XZ = \cfrac{97\cdot sin(84^o)}{sin(14^o)}\implies XZ \approx 398.76 \\\\\\ \stackrel{\textit{now using SOH CAH TOA}}{cos(82^o) = \cfrac{XW}{XZ}}\implies XZcos(82^o)=XW \\\\\\ 398.76cos(82^o)\approx XW\implies 55.497\approx XW\implies \stackrel{\textit{rounded up}}{55=XW}

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1. 3x+3y=15
        -3y = -3y (subtract 3y from both sides)
    3x       = 15-3y 
  ----------------------
     3         =  3   3  (divide each number by 3)
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6 0
3 years ago
D-10-2d+7=8+d-10-3d
TEA [102]

Solution,solve\:for\:d,\:d-10-2d+7=8+d-10-3d\quad :\quad d=1

Steps:

d-10-2d+7=8+d-10-3d

\mathrm{Subtract\:}d-10\mathrm{\:from\:both\:sides},\\d-10-2d+7-\left(d-10\right)=8+d-10-3d-\left(d-10\right)

\mathrm{Refine},\\-2d+7=8-3d

\mathrm{Subtract\:}7\mathrm{\:from\:both\:sides},\\-2d+7-7=8-3d-7

\mathrm{Simplify},\\-2d=-3d+1

\mathrm{Add\:}3d\mathrm{\:to\:both\:sides},\\-2d+3d=-3d+1+3d

\mathrm{Simplify},\\d=1

\mathrm{The\:Correct\:Answer\:is\:d=1}

\mathrm{Hope\:This\:Helps!!!}

\mathrm{-Austint1414}

4 0
3 years ago
True or false
valina [46]
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3 0
3 years ago
23j-21g+20e-13+52e-37j+45-49e<br> (Like terms)
eduard

The solution to the algebraic expression is: 23e - 21g - 14j + 32

What are algebraic expressions?

Algebraic expressions are mathematical expressions that contain variables, coefficients, and arithmetic operations such as addition, subtraction, division, and multiplication.

Solving algebraic expressions are an important part of mathematics as it helps to improve the aptitude and solving skills of the students.

From the given information, we have;

23j - 21g + 20e - 13 + 52e - 37j + 45 - 49e

let's rearrange by taking the like terms to the same sides;

= 23j -37j - 21g + 20e + 52e - 49e - 13 + 45

= -14j - 21g + 23e + 32

= 23e - 21g - 14j + 32

Therefore, we can conclude that the solution to the algebraic expression is: 23e - 21g - 14j + 32

Learn more about solving algebraic expressions here:

brainly.com/question/4344214

#SPJ1

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Help asap please!!!! due tonight!!! brainliest for fastest right answer!!! xx​
Serga [27]

Answer:

Step-by-step explanation:

3 0
2 years ago
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