Answer:
x = 83°
Step-by-step explanation:
41, 56 and the missing angle = 180° ( form a straight angle )
missing angle = 180° - (41 + 56)° = 180° - 97° = 83°
The angle x and the missing angle are vertically opposite and congruent
Hence x = 83°
Answer:
<em>x = 3</em>
Step-by-step explanation:
8 - 3x = 17
<em>You have to switch the 8 to the other side. To do this, you would have to move it after the 17 and add a minus to it, making it a -8 (this is because when a number is switched to the other side of the '=' sign, the number gets 'mirrored' aka positive numbers become negative and negative numbers become positive).</em>
3x = 17 - 8
3x = 9
<em />
<em>Now you have to do the same thing you did with 8 but instead you have to do it with 3. Since 3 has an invisble 'times sign' by it, the number after the equals will be divided by 3 in this case so...</em>
x = 9 ÷ 3
x = 3
To find in how many ways this can be done, we can use the method of combination.
As the customer have to choose 2 out of 3 appetizers, the combination would be 3C2.
For 4 out of 5 main courses, the combination wouls be 5C4.
For 6 out of 8 desserts, the combination would be 8C6.
We can then combine them into a single equation to find the answer:
3C2 x 5C4 x 8C6
=420
Therefore, the answer is 420 ways.
Hope it helps!