Angle AXD = angle CXB (vertically opposite angle)
then angle ADB = angle ABC
then angle DAB = angle BCD
I couldn't remember the name of the rule
I said that they are equal if you look at the curve AC and DB
They called them that two angles that subtended by the same mirror (arc)
lead them to be a similar angle (angle - angle - angle)
21. Broooooo, This is baby stuff!
Answer: x=
Makes It True
Explantion: step 1: simplify both sides of the equation. −5x−(−7−4x)=−2(3x−4) −5x+−1(−7−4x)=−2(3x−4)(distribute the negative sign) −5x+(−1)(−7)+−1(−4x)=−2(3x−4) −5x+7+4x=−2(3x−4) −5x+7+4x=(−2)(3x)+(−2)(−4)(distribute) −5x+7+4x=−6x+8 (−5x+4x)+(7)=−6x+8(combine like terms) −x+7=−6x+8 −x+7=−6x+8 step 2: add 6x to both sides. −x+7+6x=−6x+8+6x 5x+7=8 step 3: subtract 7 from both sides. 5x+7−7=8−7 5x=1
If I Helped, Please Mark Me As Brainliest, Have A Great Day :D
Answer:
the third option
Step-by-step explanation:
what does that mean ?
to "rationalize" it is to transform it into a rational number (that is a number that can be described as a/b, and is not an endless sequence of digits after the decimal point without a repeating pattern).
a square root of a not square number is irrational (not rational).
so, what this question is asking us to get rid of the square root part in the denominator (the bottom part).
for this we need to multiply to and bottom with the same expression (to keep the whole value of the quotient the same) that, when multiplied at the bottom, eliminates the square root.
what can I multiply a square root with to eliminate the square root ? the square root again - we are squaring the square root.
so, what works for 9 - sqrt(14) as factor ?
we cannot just square this as
(9- sqrt(14))² = 81 -2sqrt(14) + 14
we still have the square root included.
but remember the little trick :
(a+b)(a-b) = a² - b²
without any mixed elements.
so, we need to multiply (9-sqrt(14)) by (9+sqrt(14)) to get
81-14 = 67 which is a rational number.
therefore, the third answer option is correct.