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Ne4ueva [31]
3 years ago
7

I don't know how to find a different angle from this. PLEASE HELP FIND X!!!! THANKS!!!

Mathematics
1 answer:
timama [110]3 years ago
8 0

The intersection of the two red rays forms a set of vertical angle pairs. In such a pair, angles opposite one another have the same measure, so the angle opposite the one labeled 93 degrees also has measure 93 degrees.

The red ray on the right together with the black ray pointing directly to the right form a pair of supplementary angles, whose measures add up to 180 degrees. This means the angle adjacent to the one labeled 128 degrees has measure 180 - 128 degrees.

In any triangle, the interior angles' measures add up to 180 degrees. So we have

? + 93 + (180 - 128) = 180

? + 93 - 128 = 0

? = 128 - 93

? = 35

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lara31 [8.8K]

Answer:

Therefore the measure of∠ A is 60.07.

Step-by-step explanation:

Given:

In Right Angle Triangle ABC

∠ B = 90°

BC = 13   ....Side opposite to angle A

AC = 15  .... Hypotenuse

To Find:

m∠A = ?

Solution:

In Right Angle Triangle ABC ,Sine Identity,

\sin A = \dfrac{\textrm{side opposite to angle A}}{Hypotenuse}\\

Substituting the values we get

\sin A = \dfrac{BC}{AC}=\dfrac{13}{15}=0.8666\\\\A=\sin^{-1}(0.8666)=60.065\\\\m\angle A=60.07\°

Therefore the measure of∠ A is 60.07

6 0
3 years ago
If 6000 dollars is invested in a bank account at an interest rate of 9 per cent per
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Answer:

(1) $11955.38

(2) $12228.62

(3) $12293.527

(4) $12326.6

Step-by-step explanation:

Compound interest is given by

A= P( 1 + r/n)^n*t

A= Final amount

P = initial amount = 6000

r = interest rate  = 9% = 0.09

n = number of times interest applied per time period

t = number of time periods elapsed

(1) Compounded annually

    n = 1 , t = 8

    A = 6000( 1+ 0.09/1) ^1*8

     A = 6000( 1.09) ^8 = $11955.38

(2) compounded quarterly

    n = 4 , t = 8

A = 6000( 1+ 0.09/4) ^4*8

     = 6000( 1.0225)^32 = $12228.62

(3) compounded monthly

     n = 12 , t = 8

 A = 6000( 1+0.09/12)^12*8 = $12293.527

(4) compounded continuously

       A = P* e^rt

      r = 0.09 , t = 8

           =  6000* e^0.09*8

           = 6000* e^0.72 = $12326.6

5 0
3 years ago
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Shtirlitz [24]

Answer:

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6 0
3 years ago
Charlotte drives 64 mph for the first 3 hours of her trip and 92 mph for last 4 hours.
german

Answer:

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Step-by-step explanation:

\boxed{\sf Distance=Speed \times Time}

<u>First leg of trip</u>

  • Speed = 64 mph
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\implies \sf Distance =64\times 3 = 192\:miles

<u>Second leg of trip</u>

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To find the average speed:

\begin{aligned}\implies \sf Average\:speed & = \sf \dfrac{Total\:distance}{Total\:time}\\\\ & = \sf \dfrac{192+368}{3+4}\\\\& = \sf \dfrac{560}{7}\\\\ & = \sf 80\:mph\end{aligned}

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3 years ago
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