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3 years ago

Help??????????????????????????

Mathematics

2 answers:

fiasKO [112]3 years ago

7 0

Answer:

x = 180 - 150 = 30°

z = 180 - 100 = 80°

y = 180 - 30 - 80 = 70°

Answer: x = 30, y = 70, z = 80

agasfer [191]3 years ago

6 0

X = 180 - 150 = 30°

z = 180 - 100 = 80°

y = 180 - 30 - 80 = 70°

Answer: x = 30, y = 70, z = 80

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A box office sells balcony seats, ground-level seats, and VIP passes for shows on tour. The table shows the numbers of each type

Lana71 [14]

Answer:

The price of one Balcony seat = $50

The price of one Ground level seat = $90

The price of one VIP seat = $180

Step-by-step explanation:

Let the price of one Balcony seat = $ $x$

Let the price of one Ground level seat = $ $y$

Let the price of one VIP seat = $ $z$

As per the given table:

$135x+280y+29z=37170 ....... (1)\\150x+270y+58z=42240 ....... (2)\\130x+265y+29z=35570 ....... (3)$

Multiplying (1) with 2 and subtracting (2) from it:

$120x+290y=32100 \\12x+29y=3210..... (4)$

Subtracting (3) from (1):

$5x+15y=1600\\x+3y=320 ....... (5)$

Multiply equation (5) with 12 and subtracting (4) from it:

$7y=630\\\Rightarrow y =\bold{90}$

By equation (5), putting value of $y$ :

$x=\bold{50}$

By equation (1), putting the values of $x, y:$

$135\times 50+280\times 90+29z=37170\\\Rightarrow 29z=37170-31950\\\Rightarrow 29z=5220\\\Rightarrow z =\bold{180}$

Therefore, the answers are:

The price of one Balcony seat = $50

The price of one Ground level seat = $90

The price of one VIP seat = $180

6 0

2 years ago

AB and CD are straight line segments.

goldfiish [28.3K]

Answer:

<h3>i) Angle AOC is 95° </h3><h3>Reason:- Angle AOC is equal to Angle DOB since they are Vertically Opposite Angles. </h3>

<h3> ii) Angle BOC is 85° </h3><h3>Reason:- Angle AOC + Angle BOC - 180° (they lie in a straight line so they are a linear pair. Sum of the angles will be 180°) </h3><h3> Angle AOC is 95°, So:- </h3><h3> 95° + Angle BOC = 180° </h3><h3> Angle BOC= 180° - 95° </h3><h3> Angle BOC = 85° </h3><h3> </h3><h3>iii) Angle DOE is 17° </h3><h3>Reason:- Angle AOE+ Angle DOE+ Angle DOB = 180° (they lie in a straight line so they're a linear pair. Sum of the angles will be 180°) </h3><h3> So, </h3><h3> 68° + Angle DOE+ 95° = 180° </h3><h3> 163° + Angle DOE = 180° </h3><h3> Angle DOE= 180° - 163° </h3><h3> Angle DOE is 17°</h3>

5 0

2 years ago

Given that √5 = 2.24 and √50= 7.07 , find <br> √500 and √0.5

sineoko [7]

Answer:

see explanation

Step-by-step explanation:

using the rules of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$