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lina2011 [118]
3 years ago
14

Find the values of x,y, and z. The diagram is not to scale.

Mathematics
1 answer:
vazorg [7]3 years ago
3 0
All the angles must add to 180degrees in a triangle.

180 = 59 + 35 + x
180 = 94 + x
86 = x

Supplementary angles x and z add to 180
180 = x + z
180 = 86 + z
94 = z

Now the last triangle is with angles 11, z, and y
they must add to 180 so...
180 = 11 + z + y
180 = 11 + 94 + y
180 = 105 + y
75 = y

Hope this helps!
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a car can travel 19.6 miles for every 1 gallon of gasoline. calculate the number of miles the car can travel on 13.8 gallons of
lord [1]
I believe it 270.48 miles. 
6 0
2 years ago
on a scale drawing, 5 metres is represented by 4 centimetres. write the scale as a ratio in it's simplest form.​
ryzh [129]

Answer:

<em>The scale factor is 1:125</em>

Step-by-step explanation:

<u>Scaling</u>

Objects can be represented in a reduced or augmented size by using scaling which consists of multiplying or dividing by a constant factor. We use scaling when representing geographic locations on a map.

On a scale drawing, a distance of 5 meters = 500 cm is represented by 4 centimeters. The scale factor is usually represented as a ratio of the smallest to the biggest magnitude:

\frac{4}{500}=\frac{1}{125}

The scale factor is 1:125

8 0
3 years ago
James bought 6 baseball cards at a garage sale for $0.45 each. He sold them to a collector for $1.25 each. What was his profit?
nata0808 [166]

Answer:

$4.80.

Step-by-step explanation:

hope this helps

3 0
2 years ago
In 30 minutes, a television station plays 8.5 minutes of commercials. The equation m + 8.5= 30 gives the length m in minutes of
zubka84 [21]
The solution to the equation would be 21.5

Why?

If you do the equation backwards

30 - 8.5 = x

You would get 21.5
You can plug it into the first equation to check!

:)


8 0
3 years ago
Read 2 more answers
Find the value of annuity if the periodic deposit is $250 at 5% compounded quarterly for 10 years
mylen [45]

Answer:

The value of  annuity is  P_v  =  \$ 7929.9

Step-by-step explanation:

From the question we are told that

    The periodic payment is  P  =  \$ 250

     The  interest rate  is   r =  5\%  =  0.05

     Frequency at which it occurs in a year is  n = 4 (quarterly )

      The number of years is  t =  10 \ years

The  value of the annuity is mathematically represented as

             P_v  =  P *  [1  - (1 + \frac{r}{n} )^{-t * n} ] * [\frac{(1 + \frac{r}{n} )}{ \frac{r}{n} } ] (reference EDUCBA website)

 substituting values

             P_v  = 250 *  [1  - (1 + \frac{0.05}{4} )^{-10 * 4} ] * [\frac{(1 + \frac{0.05}{4} )}{ \frac{0.08}{4} } ]

             P_v  =  250 *  [1  - (1.0125 )^{-40} ] * [\frac{(1.0125 )}{0.0125} ]

             P_v  =  250 *  [0.3916 ] * [\frac{(1.0125)}{0.0125} ]

            P_v  =  \$ 7929.9

8 0
3 years ago
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