Answer:
We conclude that:
- The number of people who ordered the chicken dinner = 1
- The number of people who ordered the steak dinner = 5
Step-by-step explanation:
Given that
- Some order the chicken dinner for $14
- some order the steak dinner for $17.
- Let 'n' be the number of people who ordered the chicken dinner.
- Let '6-n' be the number of people who ordered the steak dinner.
Thus, the equation becomes
Divide both sides by -3
and
Therefore, we conclude that:
- The number of people who ordered the chicken dinner = 1
- The number of people who ordered the steak dinner = 5
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:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
5x + 7 + 4x + 2 + 90 = 180 , that is
9x + 99 = 180 ( subtract 99 from both sides )
9x = 81 ( divide both sides by 9 )
x = 9
Then
∠ ACB = 4x + 2 = 4(9) + 2 = 36 + 2 = 38°
∠ BAC = 5x + 7 = 5(9) + 7 = 45 + 7 = 52°
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Since the triangles are congruent then corresponding angles are congruent , so
∠ B = ∠ E
6x + 10 = 70 ( subtract 10 from both sides )
6x = 60 ( divide both sides by 6 )
x = 10
