Answer:
x = 15
Step-by-step explanation:
Since the triangles are similar we can find x using similarity ratio
14/8 = (x+6)/(x-3) simplify first expression
7/4 = (x+6)/(x-3) cross multiply expressions
7×(x-3) = 4×(x+6)
7x-21 = 4x + 24 add like terms
3x = 45
x = 15
Thirteen trillion, eight hundred two billion, ninety in digits is 13802000000090
Step-by-step explanation:
We need to write Thirteen trillion, eight hundred two billion, ninety in digits.
There are 12 zeros in trillion and 9 zeros in billion
Writing step by step:
Thirteen trillion: 13000000000000
eight hundred two billion: 802000000000
ninety: 90
Combining we get
13000000000000
802000000000
90
----------------------------
13802000000090
So, Thirteen trillion, eight hundred two billion, ninety in digits is 13802000000090
Keywords: Converting words into digits
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Answer: 9
Step-by-step explanation:
The interior angle of the 8-sided polygon is
![\frac{180(8-2)}{8}=135^{\circ}](https://tex.z-dn.net/?f=%5Cfrac%7B180%288-2%29%7D%7B8%7D%3D135%5E%7B%5Ccirc%7D)
The interior angle of the 10-sided polygon is
![\frac{180(10-2)}{10}=144^{\circ}](https://tex.z-dn.net/?f=%5Cfrac%7B180%2810-2%29%7D%7B10%7D%3D144%5E%7B%5Ccirc%7D)
Taking the difference, we get ![b=9^{\circ}](https://tex.z-dn.net/?f=b%3D9%5E%7B%5Ccirc%7D)
Answer:
x = 1
y = -24
Step-by-step explanation:
8x + y = -16
-3x + y = -5
Subtract equation one from equation two
8x - -3x + y - y = -16 - - 5
8x + 3x = -16 + 5
11x = 11
Divide both sides by 11
11x/11 = 11/11
x = 1
Now substitute 1 for x in either of the equations to get y.
Using equation one, we have
8x + y = -16
8 x 1 + y = -16
8 + y = -16
Subtract 8 from both sides
8 - 8 + y = -16 - 8
y = -24
x = 1
y = -24