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SOVA2 [1]
3 years ago
14

Please FIND THE VALUE OF x.

Mathematics
1 answer:
hram777 [196]3 years ago
3 0

Answer:

x = 55 degree

Step-by-step explanation:

let the another angle be y

y+108=125 (sum of two interior opposite angle is equal to the exterioe angle formed)

y=125-108

y=17

y+x+108=180 degree (sum of interior angle of a triangle)

17 + x + 108 =180

x + 125 =180

x = 180-125

x=55

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Select the correct answer. Chloe enjoys her math classes, and she would like to find a career that will allow her to continue to
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It would have to be an Accountant.

6 0
3 years ago
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1 dollar = 1.2 euros
MArishka [77]

85 yen are equivalent to 1 euro ⇒ answer O

Step-by-step explanation:

The given is:

  • 1 dollar = 1.2 euros
  • 1 dollar = 102 yen

We need to find how many yens are equivalent to 1 euro

∵ 1 dollar = 1.2 euros

∵ 1 dollar = 102 yen

- Equate the two right sides of 1 dollar

∴ 1.2 euros = 102 yen

- To find 1 euro equals how many yen divide both sides by 1.2

∵ (1.2 ÷ 1.2) euros = (102 ÷ 1.2) yen

∴ 1 euro = 85 yen

85 yen are equivalent to 1 euro

Learn more:

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4 0
3 years ago
15 3/4% is equal to which decimal?<br><br> A- 0.1575<br> B- 157.25<br> C-15.25<br> D- 15.34
eimsori [14]
15 3/4% = 15.75%
15.75% = 0.1575
The answer is A.
6 0
3 years ago
Read 2 more answers
Six times a number is equal to 30.5 more than the number. Find the number
saul85 [17]

Answer:6.1

Step-by-step explanation: the equation is 6n=30.5+n. the first thing you you do is subtract n on both sides which would be 6n-n which gives you 5. the equation now is 5n=30.5. now what you do is divide 5 on both sides so it would be 30.5/5 and that gives you 6.1

6 0
3 years ago
Let θ
konstantin123 [22]

Answer:

θ is decreasing at the rate of \frac{21}{16} units/sec

or \frac{d}{dt}(θ) = \frac{-21}{16}

Step-by-step explanation:

Given :

Length of side opposite to angle θ is y

Length of side adjacent to angle θ is x

θ is part of a right angle triangle

At this instant,

x =  8 , \frac{dx}{dt} = 7

( \frac{dx}{dt} denotes the rate of change of x with respect to time)

y = 8 , \frac{dy}{dt} = -14

( The negative sign denotes the decreasing rate of change )

Here because it is a right angle triangle,

tanθ = \frac{y}{x}-------------------------------------------------------------------1

At this instant,

tanθ = \frac{8}{8} = 1

Therefore θ = π/4

We differentiate equation (1) with respect to time in order to obtain the rate of change of θ or \frac{d}{dt}(θ)

\frac{d}{dt} (tanθ) = \frac{d}{dt} (y/x)

( Applying chain rule of differentiation for R.H.S as y*1/x)

sec^{2}θ\frac{d}{dt}(θ) = \frac{1}{x}\frac{dy}{dt} - \frac{y}{x*x}\frac{dx}{dt}-----------------------2

Substituting the values of x , y , \frac{dx}{dt} , \frac{dy}{dt} , θ at that instant in equation (2)

2\frac{d}{dt}(θ) = \frac{1}{8}*(-14)- \frac{8}{8*8}*7

\frac{d}{dt}(θ) = \frac{-21}{16}

Therefore θ is decreasing at the rate of \frac{21}{16} units/sec

or  \frac{d}{dt}(θ) = \frac{-21}{16}

3 0
3 years ago
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