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Zielflug [23.3K]
3 years ago
15

The flag of a country contains an isosceles triangle. (Recap that an isosceles triangle contains two angles with the same measur

e.) If the measure of the third angle of the triangle is 30 degrees more than three times the measure of either of the other two angles, find the measure of each angle of the triangle. (Recall that the sum of the measures of the angles of a triangle is 180 degrees
Mathematics
1 answer:
sesenic [268]3 years ago
7 0

Answer:

30°, 30° and 120°

Step-by-step explanation:

Using the information given in the question.

let x be the measure of each congruent base angle , then

the third angle = 3x + 30

Sum the 3 angles and equate to 180

3x + 30 + x + x = 180, that is

5x + 30 = 180 ( subtract 30 from both sides )

5x = 150 ( divide both sides by 5 )

x = 30

Thus

The 2 congruent bas angles are each = 30°

The third angle = 3x + 30 = 3(30) + 30 = 90 + 30 = 120°

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Ava bought some pens for $ 2 $ 2 each and some pencils for $ 1 $ 1 each. She bought 3 3 more pens than pencils and spent a total
zalisa [80]

Answer:

 Number pencils Ava bought = 2

Explanation:

 Price of pen = 2 $

 Price of pencil = 1 $

 Total money spent = 12 $

 Let the number of pen be a and number of pencil be b.

  2 a + b = 12   -----------------------------------Equation 1

 We have, she bought 3 more pens than pencils

   a - b = 3   --------------------------------------  Equation 2

  Equation 1 +Equation 2,  

           2 a + b +  a - b = 12 + 3

                 3a = 15

                   a = 5

   Substituting in  equation 2

                 5 - b = 3

                b = 2

    Number pencils Ava bought = 2

 

3 0
3 years ago
Find the values of y = w(x) = for x = 0, 0.04, 0.09, 0.16, 0.25, 0.36, 0.49, 0.64, 0.81, 1.
Juli2301 [7.4K]
The formula would look like this
---------------------------------------------------------------------------------------------------------
y = w(x) = √x
---------------------------------------------------------------------------------------------------------

The plot graph from the given value of <span>x </span>; the corresponding  values of y are
------------------------------------------------------------------------------------------------------
x                y
0               0
0.04        0.2
0.09        0.3
0.16        0.4
0.25        0.5
0.36        0.6
0.49        0.7
0.64        0.8
0.81        0.9
1.0          1.0

I hope this was helpful :)
7 0
3 years ago
David can paint a fence in ten hours. Alex can paint the same fence in eight hours. If
xxTIMURxx [149]

Answer:

40/9

Step-by-step explanation:

Use the work formula, \frac{1}{A} + \frac{1}{B} = \frac{1}{T}, where A is the amount of time it takes one person, B is the amount of time it takes another person, and T is the time it takes for them to work together.

Plug in the times for David and Alex alone:

\frac{1}{10} + \frac{1}{8} = \frac{1}{T}

Find the least common denominator, which is 40.

\frac{4}{40} + \frac{5}{40} = \frac{1}{T}

\frac{9}{40} = \frac{1}{T}

Cross multiply and solve for T:

9T = 40

T = 40/9

So, if they worked together, it would take them 40/9 hours

3 0
3 years ago
Read 2 more answers
Marley spins a spinner and Rose a1-6 number to the spinner has 5 equal parts numeral number 1- 5 what is the probability she wil
Taya2010 [7]
2/5 i think probably

6 0
3 years ago
9 x 7 = ( x 7) – (1 x 7)<br> = 70-<br> =
WARRIOR [948]

Answer:

63

Step-by-step explanation:

9x7=(10x7)-1x(7)

=70-7

=63

8 0
3 years ago
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