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lesya692 [45]
3 years ago
7

Solve for X, please give a brief run-over on how you got there.

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
4 0

Answer:

x = 31.5

Step-by-step explanation:

The triangle on the left has 2 congruent sides and is therefore isosceles.

Thus the 2 base angles are congruent with measure

\frac{180-54}{2} = \frac{126}{2} = 63

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

The triangle on the right is also isosceles with base angles of measure x

63° is an external angle of the triangle on the right, thus

x + x = 63

2x = 63 ( divide both sides by 2 )

x = 31.5

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Please help due tomorrow!
vaieri [72.5K]

Answer:

DF=GI

Step-by-step explanation:

Follow the order

it is Given That

DEF=GHI

DF=GI

DE=GH

EF=HI

3 0
3 years ago
Find the value of x. 8,13,x
yawa3891 [41]

Answer:

x=18

Step-by-step explanation:

<u>Key skills needed: Arithmetic Sequences, Addition</u>

1) We have a sequence of 8,13,x

2) To find the number being added every time, we do 13-8. This is 5.

3) This means x would be 13+5

4) 13+5 is 18 so x is 18.

<em>Hope you understood and have a nice day!! :D</em>

8 0
3 years ago
The temperature, H, in degrees Celsius, of a cup of coffee placed on the kitchen counter is given by H = f(t), where t is in min
Deffense [45]

Answer:

a

    f'(t) is  negative

b

 The  unit is degC/min

c

At <u>35</u> minutes after the coffee was put on the counter, its temperature is <u>68</u> and will <u>decrease</u> by about <u>0.75</u> in the next 30 seconds.          

Step-by-step explanation:

From the question we are told we are told that  

   The  equation for the temperature of a cup of coffee place on a counter is

         H= f(t)

Here  t is the time in minutes the  coffee was put on the counter

Generally  f(t)'  is the derivative of  f(t) at it represents the change of the temperature of the cup of coffee with respect to time

 Generally for the coffee placed on the counter after a couple of minutes the temperature will decrease hence  f(t)' is  negative

Generally the unit of the temperature is in degrees Celsius while that of time is  in minutes

  So the change in temperature with time f(35)' will be in degrees Celsius/minutes (i.e  degC/min)

  From the question we are told that

        |f(35)'| =  1.5

i.e  the rate of change of temperature after 35 minutes is  1.5

and

         |f(35)| =  68

i.e the temperature of the cup of coffee after 35 minutes is  67 degC

Now after another   t=  30  seconds =  \frac{30}{60}= 0.5 \ minutes the  rate  of change of the temperature of the cup of  coffee is  

          R =  |f(35)'| *  t

=>        R = 1.5  *  0.5

=>        R = 0.75    

So

At <u>35</u> minutes after the coffee was put on the counter, its temperature is <u>68</u> and will <u>decrease</u> by about <u>0.75</u> in the next 30 seconds.  

     

5 0
3 years ago
Brent leaves school to go home. He walks 10 blocks north and then 6 blocks west. If Brent could walk in a straight line to the s
Alja [10]
<h2>8 BLOCKS :)))</h2>

:)))) NO NEED SOLUTION.

6 0
2 years ago
8. A salesman bought a computer from a manufacturer. The salesman the sold the computer
PolarNik [594]

Answer:

117,000

Step-by-step explanation:

156000÷100x25

=39000

Then

156000-39000

=$117,000

8 0
3 years ago
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