Answer:
Steps shown below
Step-by-step explanation:
We will simplify this using definitions and identities. Let's start.
Using 
, we have:
Using 
, we have:
Hence, proved.
1. To solve for x, you can see that nearby C and D, the two angles are equal. We can ,therefore, make an equation and solve it:
5x - 29 = 3x + 19
- 3x
2x - 29 = 19
+ 29
2x = 48
÷ 2
x = 24
2. So for this part you would substitute the value of x and then minus that angle from 180:
3 × 24 = 72
72 + 7 = 79°
180 - 79 = 101° = ∠1
3. 180 = 101 = 79° = ∠2
4. 180 - 79 = 101° = ∠3
5. Angle 4 is equal to angle 3 because there is an alternate angle (z angle) so 101° = ∠4
6. 180 - 101 = 79° = ∠5
7. 180 - 101 = 79° = ∠6
8. To find angle 7, you have to substitute in x again, so:
5 × 24 = 120
120 - 29 = 91
180 - 91 = 89° = ∠7
9. Angle 8 is the same as angle 7 because they are opposite angles, so 89° = ∠8
10. Angles 2 and 3 are supplementary, which means they add up to 180°.
I hope this helps! :)
4.16 hours and 4 cups
Step-by-step explanation:
10. To find the % of something simply turn 5/6 in to a decimal (.83) then times it by the number you want .83 * 60 = 50 so its about 50 min each class, just times it by 5 =250 and lastly divide it by 60 for hours <u>4.16</u>
11. Simply times it by 6, 2/3*6= <u>4</u><u> </u><u>c</u><u>u</u><u>p</u><u>s</u>
Answer:
$150
Step-by-step explanation:
Dad gives the girl 50 and she save 20 so 50-20 = 30. Then u multiply that by the number of months given...so 30*5= 150
