The measure of the third angle of a triangle is 23.2° .
We know that sum of the interior angles of a triangle is always 180° .
The two angles given is 109.7° and 47.1°.
Let the third angle be x°.
⇒ x + 109.7° + 47.1° = 180°
⇒ x + 156.8 = 180°
∴ x = 23.2°.
Therefore the measure of the third angle is 23.2°.
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2.15x-30y-220
3.15x+30y-220
4.15x+30y-64
The expression is equivalent to the expression 30(1/2x - 2) + 40(3/4y - 4) will be 15x + 30y - 220. Then the correct option is C.
Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The expression is given below.
⇒ 30(1/2x - 2) + 40(3/4y - 4)
Simplify the expression, then we have
⇒ 30(1/2x - 2) + 40(3/4y - 4)
⇒ 15x - 60 + 30y - 160
⇒ 15x + 30y - 220
The expression is equivalent to the expression 30(1/2x - 2) + 40(3/4y - 4) will be 15x + 30y - 220. Then the correct option is C.
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is 5 more than twice the width. What is the width
of the garden?
A.29feet
C.24 feet
B. 25 feet and 2/3
D. 12 feet
Answer:
D. 12 feet
Step-by-step explanation:
Perimeter of a rectangle = 2(L+W)
Where L is length and W is the width.
Given
perimeter = 82 feet
Length is 5 more than 2w
That’s L = 5 + 2w
Now substitute 5 + 2w for L in the formula above
We have
82 = 2 ( 5 + 2w + w)
Simplify the bracket
82 = 2(5 + 3w)
Distribute 2 into (5 + 3w)
82 = 2 x 5 + 2 x 3w
82 = 10 + 6w
Subtract 10 from both sides
82 - 10 = 10 - 10 + 6w
72 = 6w
Divide both sides by 6
72/6 = 6w/6
12 = w
W = 12 feet
The width of the garden is 12 feet.
To find the width of the garden, we can set up an equation using the given information. Let's say the width of the garden is 'w' feet. According to the problem, the length is 5 more than twice the width, so the length would be '2w + 5' feet. The perimeter of a rectangle is equal to twice the sum of its length and width. So, in this case, the perimeter would bec
feet. Simplifying this equation, we get 6w + 10 = 82. Solving for 'w', we subtract 10 from both sides and divide by 6, giving us w = 12 feet. Therefore, the width of the garden is 12 feet.
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