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Find the value of x

1. 16x-2 , 5x+9
[tex]{ \tt{ 2.\frac{5}{4} x + \frac{1}{2} ,2x - \frac{1}{2} }}[/tex]
[tex]{ \tt{3. 23°( \frac{x}{3} + 26) \degree}}[/tex]
[tex]{ \tt{4. \frac{1}{2} x - 3,2 - \frac{3}{4}x }}[/tex]


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Find The Value Of X1 16x2 5x9tex Tt 2frac54 X Frac12 2x Frac12 Textex Tt3 23 Fracx3 26 Degreetextex Tt4 Frac12 X 32 Frac34x Tex class=

Sagot :

MissyArelleeeeeidn

ANSWERS:

Activity 2. Challenge Yourself!

For Number One.

[tex] \large\begin{array}{l}\tt \overline{ST} \cong \overline{AX}\\\tt 16-2x=5x+9\\ \tt 16 - 9 = 5x + 2x \\ \tt 7 = 7x \\ \tt x = 7 \div 7 =\boxed{\tt1}\end{array}[/tex]

For Number Two.

[tex]\large\begin{array}{l}\tt \angle LAK \cong \angle UAS\\\tt \frac{5}{4} x + \frac{1}{2} =2x - \frac{1}{2} \\ \tt \frac{5}{4} x - 2x = - \frac{1}{2} - \frac{1}{2} \\ \tt \frac{5 - 8}{4} x = - \frac{2}{2} \\ \tt - \frac{3}{4} x = - 1 \\ \tt x = - 1 \div - \frac{3}{4} \\ \tt x = 1 \times \frac{4}{3} = \boxed{ \tt\frac{ 4}{3} } \end{array}[/tex]

For Number Three.

[tex]\large\begin{array}{l}\tt \angle SLI \cong \angle ALV\\\tt 23 \degree = ( \frac{x}{3} + 26) \degree \\ \tt 23 \degree - 26 \degree = \frac{x}{3} \degree \\ \tt - 3 \degree = \frac{x}{3} \degree \\ \tt x = (- 3)(3) \\ \tt x = \boxed{\tt- 9}\end{array}[/tex]

For Number Four.

[tex]\large\begin{array}{l}\tt \overline{ZA} \cong \overline {AR}\\\tt \frac{1}{2} x - 3 = 2 - \frac{3}{4} x \\ \tt \frac{1}{2} x + \frac{3}{4} x = 2 + 3 \\ \tt \frac{2 + 3}{4} x = 5 \\ \tt \frac{5}{4} x = 5 \\ \tt x = 5 \div \frac{5}{4} \\ \tt x = 5 \times \frac{4}{5} \\ \tt x = \boxed{\tt4 }\end{array}[/tex]

XmamonskieXidn

Find the Value of x:

[tex]1.) \\16 - 2x= 5x + 9 \\⟹16x - 5x - 2 = 9 \\⟹16 x - 5x = 9 + 2 \\⟹11x = 9 + 2 \\⟹11x = 11 \\⟹11 \div 11 \\⟹{\boxed{x = 1}}[/tex]

[tex]2.) \\ \frac{5}{4}x + \frac{1}{2 } = 2x - \frac{1}{2} \\⟹5x + 2 = 8x - 2 \\⟹5x - 8x + 2 = - 2 \\⟹5x - 8x = - 2 - 2 \\⟹ - 3x = - 2 - 2 \\⟹ - 3x = - 4 \\⟹{\boxed{x = \frac{4}{3}}}[/tex]

[tex]3.) \\ 23° = ( \frac{x}{3} + 26)° \\ ⟹ 23° - 26 = \frac{x}{3}° \\⟹ - 3 = \frac{x}{3}° \\⟹x = - 3×3 \\⟹{\boxed{x = - 9}}[/tex]

[tex]4.) \\ \frac{1}{2}x - 3 = 2 - \frac{3}{4}x \\⟹2x - 12 = 8 - 3x \\⟹2x + 3x - 12 = 8 \\⟹2x + 3x = 8 + 12 \\⟹5x = 8 + 12 \\⟹5x = 20 \\ ⟹20 \div 5 \\⟹{\boxed{x = 4}}[/tex]

The value of x is

1.)

x = 1

2.)

x = 4/3

3.)

x = - 9

4.)

x = 4

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