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andreev551 [17]
3 years ago
6

Find the values of a and b​

Mathematics
1 answer:
never [62]3 years ago
5 0

Step-by-step explanation:

b=

180-40=2b

b=70°

a= 180-90-70

a=20°

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How to set the answer up
Korolek [52]

Let s and g represents the numbers of suits and gowns produced.

The number of zippers used is 2s+g.

The number of buttons used is 5s+8g.

In order to use all of the available zippers and buttons, we must have ...

  • 2s + g = 171
  • 5s + 8g = 576

Cramer's rule tells you the solution to the system

  • ax +by = c
  • dx +ey = f

Is given by

  • x = (bf-ey)/(bd-ea)
  • y = (cd-fa)/(bd-ea)

Using this rule on the equations for zippers and buttons, we have

... s = (1·576 -8·171)/(1·5 -8·2) = -792/-11 = 72

... g = (171·5 -2·576)/-11 = -297/-11 = 27

72 suits and 27 gowns can be made from available zippers and buttons.

3 0
3 years ago
Naomi surveyed 480 of the students in her school about their favorite color. 95% said their favorite color was red. How many stu
vichka [17]

Answer:

77

Step-by-step explanation:

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4 0
3 years ago
In PQR, PQ = QR. If M < P = 42, find the measures of the other angles
mihalych1998 [28]

Answer:

96

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
How many triangles will be in the 5th set of triangles?
tia_tia [17]

Answer:

25.

Step-by-step explanation:

I am assuming you only mean the small triangles, not the composite ones.

The  second  triangle set has 3 triangles on bottom row and 1 on the top - total 4.

The 3rd triangle set has 5 triangles on the bottom , 3 on the next up and 1 on the top  - total  9

Following the pattern 4th set will have the number of triaNGLES

7 + 5 + 3 + 1 = 16.

So the 5th will have 9 + 7 + 5 + 3 +1 = 25 triangles.

6 0
3 years ago
Find the length of the missing side in the figure below. a = _______ cm.
WITCHER [35]

Answer:

\frac{2 \sqrt{177} }{5}

or

5.32cm correct to 2 decimal places

Step-by-step explanation:

This is a right angled triangle from what I know so we have to apply pythagoras theorem.

{7.1}^{2}  =  {a}^{2}  +  {4.7}^{2}

we need to rearrange this to find a²

{a}^{2}  =  {7.1}^{2}  -  {4.7}^{2}

a =  \sqrt{ \frac{708}{25} }

This can either be written as a fraction or decimal.

a =  \frac{2 \sqrt{177} }{5}

OR

a = 5.32

correct to 2 decimal places

5 0
2 years ago
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