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Ulleksa [173]
3 years ago
13

Solve for x please refer to image

Mathematics
1 answer:
QveST [7]3 years ago
6 0

Answer:

x = 40

Step-by-step explanation:

Sum of interior angle of an n-polygon = (n - 2)*180

The polygon given is pentagon with 5 sides.

Sum of the polygon = (5 - 2)*180 = 540°

Therefore, sum of all its interior angles would be:

5x + 150 + (3x - 30) + 70 + (2x - 50) = 540°

Solve for x

5x + 150 + 3x - 30 + 70 + 2x - 50 = 540

Collect like terms

5x + 3x + 2x + 150 - 30 + 70 - 59 = 540

10x + 140 = 540

10x = 540 - 140 (Subtraction property of equality)

10x = 400

x = 400/10 (division property of equality)

x = 40

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Find x and y. Give reasons to justify your solution. AB, CD, EF, and GH are straight lines.
8_murik_8 [283]

Answer:

X= 32 Y= 35

Step-by-step explanation:

We know FOB is parralel to AOE meaning x= 32

also, COH = 90 so GOD is also 90.

a straight angle is 180, so

23+90+x or 32= 145,

180-145=35,

y=35

6 0
3 years ago
Read 2 more answers
Solve :<br><br> 5x - 7y = 12<br><br> 5y - 2x = - 7
Afina-wow [57]
There is one solution:

use elimination method

5x - 7y = 12
5y - 2x = -7    ---> change equation around

 5x - 7y = 12
-2x + 5y = -7

2 x ( 5x - 7y) = 2 x (12)    multiply both sides by 2
5 x (-2x +5y) = 5 x (-7)

this give you
 10x - 14y =24 
-10x+25y = -35                    add down
-----------------------------
        11y = - 11                    x is eliminated to find y value
           
            y = -1                         input to one of the original equations

5(-1)  - 2x = -7

-5  - 2x = -7
+5           +5                       add 5 to both sides
----------------------------
-2x = -2
    x = 1

your coordinates for when they intersect is at (1, -1)
one solution




3 0
3 years ago
Read 2 more answers
5 divided by 485 3 digit by 1 digit
victus00 [196]

Answer:

  5\div485=\dfrac{5}{485}=\dfrac{1}{97}\\\\485\div 5=\dfrac{485}{5}=97

Step-by-step explanation:

When we say "a divided by b", we mean a/b. In this case, "5 divided by 485" is a 1-digit number divided by a 3-digit number. The result is the fraction 1/97 or a repeating decimal with a long repeat.

If you want to divide the 3-digit number 485 by the 1 digit number 5, then you need to formulate the problem as "485 divided by 5". The result is 97.

8 0
3 years ago
That is the correct answer
Arlecino [84]
3 and 4/8 for question number one
8 0
4 years ago
St. Augustine grass can grow at the rate of 4 over 7 centimeter per week.
Lady_Fox [76]

Answer:

3 weeks

Step-by-step explanation:

create a proportion of grass growth rate over time:

(\frac{4}{7}÷1) = (\frac{12}{7}÷x )

\frac{4x}{7} = \frac{12}{7}

cross-multiply:

28x = 84

x = 84/28 which is 3

6 0
3 years ago
Read 2 more answers
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