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PIT_PIT [208]
2 years ago
14

Determine the measure of the interior angle at vertex F

Mathematics
1 answer:
AfilCa [17]2 years ago
3 0

Answer:

72

Step-by-step explanation:

The interior angles of a 6 sided figure add to (n-2) * 180

where n is the number of sides

(6-2) *180

4*180

720

2x+4x+4x+4x+4x+2x = 720

20x = 720

Divide by 20

20x/20 = 720/20

x =36

We want <F

<F = 2x = 2*36 = 72

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22. Solve 7x - 9 = 28+ 4(x - 1).<br> X=-3<br> X=3<br> x = 11<br> X=-11​
aleksley [76]

Answer:

c) x = 11

Step-by-step explanation:

Given equation: 7x - 9 = 28 + 4(x - 1)

<u><em>Steps:</em></u>

1. Distribute 4 through the parentheses:

7x - 9 = 28 + 4(x) + 4(-1)

7x - 9 = 28 + 4x - 4 [simplify]

7x - 9 = 24 + 4x

2. Subtract 4x from both sides:

7x - 4x - 9 = 24 + 4x - 4x

3x - 9 = 24

3. Add 9 to both sides:

3x - 9 + 9 = 24 + 9

3x = 33

4. Divide both sides by 3:

3x ÷ 3 = 33 ÷ 3

x = 11

5. Check your work:

7x - 9 = 28 + 4(x - 1) [substitute 11 for x]

7(11) - 9 = 28 + 4(11 - 1) [simplify]

77 - 9 = 28 + 4(10) [simplify]

68 = 28 + 40 [add]

68 = 68 ✔

Learn more here:

brainly.com/question/27844321

brainly.com/question/21222758

7 0
2 years ago
Read 2 more answers
You go down 8 floors in an elevator. Your friend goes up5 floors in an elevator. Write each amount as an integer.
Ivahew [28]
-8 and 5 (positive 5)
4 0
3 years ago
De un grupo de 60 personas, la tercera parte finalizó la escuela primaria solamente, y las ⅖ partes completaron la secundaria. E
notka56 [123]

Answer:

36 personas

Step-by-step explanation:

las 2/5 partes q completaron secundaria tambien finalizaron primaria

con lo cual el tercio que estudio primaria esta dentro del grupo de personas que estudiaron

60*2/5 = 24  

24 personas estudiaron

60-24=36

4 0
3 years ago
Two legs of a right triangle are 4cm, and 3cm. find the length of the hypotenuse of this triangle
sergiy2304 [10]
It'll be 4^2+ 3^2 then the answer you get you take the square root of it which will give you the hypotenuse.
Your answer would be 5 because square root of 25 is 5
If u want the formula it's a^2+b^=c^2
C is the hypotenuse and a and b is the lengths
6 0
3 years ago
The variables x and y vary inversely. When y is 10, x is 10. What is x when y is 20
dezoksy [38]
<span>inversely
y = k/x
k = yx
k = 10*10 = 100

when y = 20

20 = 100/x
20x = 100
   x = 5

answer
</span><span> x = 5 when y is 20</span>
8 0
3 years ago
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