the measures of the angles are:
<h3>
How to find the measures of the angles?</h3>
Two angles are a linear pair if their measures add up to 180°.
Then we will have that:
∠EFG + ∠GFH = 180
Here we know that:
m∠EFG=3n+23
m∠GFH=2n+32
Replacing that we get:
3n + 23 + 2n + 32 = 180
5n + 55 = 180
5n = 180 - 55 = 125
n = 125/5 = 25
Then the measures of the angles are:
m∠EFG=3n+23 = 3*25 +23 = 98°
m∠GFH=2n+32 = 2*25 + 32 = 82°
If you want to learn more about angles:
brainly.com/question/17972372
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If the perimeter is 28 units, then you know you will have to add the same four numbers to get the perimeter. What times 4 can get you to 28? 7. 7 x 4=28. So what plus 3 gets us to 7? 4. The answer is 4, or x=4.
Answer:
- points on the boundary line: (0, 10), (20, 0)
- solution points not on the boundary line: (100, 100)
Step-by-step explanation:
We cannot tell from the posted picture whether the boundary line is solid or dashed, so the answer above is split into two parts. If the boundary line is solid (x+2y≥20), all three listed points are in the solution set. If the boundary line is dashed (x+2y>20), only (100, 100) is in the solution set.
<h2>~<u>Solution</u> :-</h2>
Here, it is given that the bag contains 25 paise coins and 50 paise coins in which, 25 paise coins are 6 times than that of 50 paise coins. Also, the total money in the bag is Rs. 6.
- Hence, we can see that, here, we have been given the linear equation be;
Let the number of coins of 50 paise will be $ x $ and the number of coins of 25 paise will be $ 6x $ as given. . .
Hence,




- Hence, the number of 50 paise coins will be <u>2</u>. And, 6 times of two be;

- Hence, the number of 25 paise coins will be <u>12</u>.
Given
Area of the regular pentagon is 6.9 cm².
Find out the perimeter of a regular pentagon
To proof
Formula
Area of regular pentagon is

As given in the question
area of regular pentagon = 6.9 cm²
now equating the area value with the area formula.

Now put
√5 = 2.24 ( approx)
put in the above equation

thus
a² = 4.01
a = √ 4.01
a = 2.0 cm ( approx)
As perimeter represented the sum of all sides.
i.e regular pentagon have five sides of equal length.
Thus
perimeter of the regular pentagon = 5 × side length
= 5 ×2.00
therefore the perimeter of the regular pentagon = 10cm
option c is correct
Hence proved