D should be the correct answer
the 9th term for 4,10,16,12 is add 6
To prove that triangles TRS and SUT are congruent we can follow these statements:
1.- SR is perpendicular to RT: Given
2.-TU is perpendicular to US: Given
3.-Angle STR is congruent with angle TSU: Given.
4.-Reflexive property over ST: ST is congruent with itself (ST = ST)
From here, we can see that both triangles TRS and SUT have one angle of 90 degrees, another angle that they both have, and also they share one side (ST) ,then:
5.- By the ASA postulate (angle side angle), triangles TRS and SUT are congruent
The value of x is -8
Step-by-step explanation:
The steps of solving an equation of one variable
- Simplify the two sides of the equation
- Separate the variable in one side and the numerical term in the other side
- Divide the both sides by the coefficient of the variable
∵ 372 = -3x - 6(8x + 6)
- Simplify the R.H.S. of the equation by multiplying the bracket by 6
∵ 372 = -3x - [6(8x) + 6(6)]
- You must put the square bracket because the sign in-front of 6
is (-) and the (-) changes the signs after it
∴ 372 = -3x - [48x + 36]
- Remember (-)(+) = (-), multiply the square bracket by (-)
∴ 372 = -3x - 48x - 36
- Add the like terms in the R.H.S.
∴ 372 = -51x - 36
- Add 36 to both sides to separate x in the R.H.S.
∴ 408 = -51x
- Divide both sides by -51 (coefficient of x)
∴ -8 = x
I hope these steps help you
The value of x is -8
Learn more:
You can learn more about the equations in brainly.com/question/11306893
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I believe the answer is y=2x+7
