Answer:
Step-by-step explanation:
Answer:
5/6 × 3/7 ÷ 2/3 = 45/84
Step-by-step explanation:
5/6 × 3/7 = 15/42
5 × 3 = 15
6 × 7 = 42
15/42 ÷ 2/3
15/42 × 3/2
15 × 3 = 45
42 × 2 = 84
15/42 × 3/2 = 45/84
The range of values of x as shown in the diagram is -9 < x < 15
<h3>Inequality expressions</h3>
Inequality are expressions not separated by an equal sign. The required inequality expression is given as:
|9x - 27| < 108
For the positive inequality
9x - 27 < 108
9x < 108 +27
9x < 135
x < 15
For the negative inequality
-9x + 27 < 108
-9x < 108 - 27
-9x < 91
x > -9
-9 < x
Hence the range of values of x as shown in the diagram is -9 < x < 15
Learn more on inequality here: brainly.com/question/24372553
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Answer:
<h2>x = 145°, y = 35°</h2>
Step-by-step explanation:
<em><u>Given</u></em><em><u>, </u></em>
m || n
<em><u>So</u></em><em><u>,</u></em>
35° = y° <em>[</em><em>Alternate</em><em> </em><em>interior</em><em> </em><em>angles</em><em>]</em>
<em>And</em><em>,</em>
y° + x° = 180° <em>[</em><em>Since</em><em> </em><em>linear</em><em> </em><em>pair</em><em>]</em>
=> x + 35 = 180
=> x = 180 - 35
=> x = 145°
<em><u>Hence</u></em><em><u>, </u></em>
<em><u>x</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>145</u></em><em><u>°</u></em><em><u>,</u></em><em><u> </u></em><em><u>y</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>35</u></em><em><u>°</u></em>
Answer: B
<u>Step-by-step explanation:</u>
-10x² + 12x - 9 = 0
a=-10, b=12, c=-9
x = 
= 
= 
= 
= 
+/- 
= 
+/- 
= +/- 
