Answer:


Step-by-step explanation:

( Being vertically opposite angles)
Vertically opposite angles are always equal.
Move variable to L.H.S and change it's sign
Similarly, Move constant to R.H.S and change it's sign
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Collect like terms
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Subtract 18 from 50
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Divide both sides of the equation by 2
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Calculate
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The value of x is 16
Now, let's find value of m<AFD :
( sum of angle in straight line )
plug the value of x
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Multiply the numbers
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Add the numbers
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Move constant to R.H.S and change it's sign
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Subtract 98 from 180
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Value of m<AFD = 82
Hope I helped!
Best regards!!
There should be no problem in finding the value of the unknown variable "b" in the equation given in the question.The equation is solvable for finding the value of "b" because it is the only unknown variable in the single equation that is given in the question.
45 = 3b + 69
Let us reverse both sides of the equation first. then, we get
3b + 69 = 45
3b = 45 - 69
3b = - 24
b = - (24/3)
= - 8
So from the above deduction, we can easily conclude that the value of b in the given equation is -8.
Answer:
49849 x 83582 = 4166479118
96395 x 9384 = 904570680
8994 x 9692 = 87169848
4048 x 2048 = 8290304
Hope this helped
Step-by-step explanation:
Please mark me as brainliest :D
9514 1404 393
Answer:
4. height: 5√3 cm; area: 25√3 cm²
5. 30√2 ft ≈ 42.43 ft
Step-by-step explanation:
4. The height of an equilateral triangle is (√3)/2 times the side length, so is ...
height = (√3)/2 × (10 cm) = 5√3 cm
The area is given by the formula ...
A = 1/2bh
A = 1/2(10 cm)(5√3 cm) = 25√3 cm²
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5. The diagonal of a square is √2 times the side length, so the distance from 3rd to 1st base is ...
(30 ft)√2 ≈ 42.43 ft
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The length of the diagonal of a square is something you should be familiar with. If you're not, you can figure the distance using the Pythagorean theorem.
d = √(30² +30²) = √1800 ≈ 42.43 . . . feet