Value of x is 76°
<u> </u><u>Step-by-step explanation:</u>
Given :- ∠JIH = 107°
and, JDI = 31°
To find :- value of x
solution:- ∠JIH + ∠JID =180° (the sum of angles on a line are supplementary)
∠JID = 180° - 107°
∠JID = 73°
Now in ΔJID
∠JID = 73° and ∠JDI = 31°
by angle some property of Δ
so, ∠JDI + ∠JID + ∠DJI = 180°
= 31° + 73° + ∠DJI = 180°
= 104° + ∠DJI = 180°
∠DJI = 180° - 104°
∠DJI = 76°
now, ∠DJI = ∠AJF = ∠X
so, x = 76°
hence value of x is 76°
Answer:
The percentage of people enjoy New years Eve only = 3%
Step-by-step explanation:
The data indicates, The percentage of people enjoy New years Eve = 28%
The percentage of people enjoy New years Eve and Memorial Day = 12%
The percentage of people enjoy New years Eve and Forth of July = 18%
The percentage of people enjoy Enjoy all the three = 5%
The percentage of people enjoy New years Eve only
= The percentage of people enjoy New years Eve
- The percentage of people enjoy New years Eve and Memorial Day
- The percentage of people enjoy New years Eve and Forth of July
+ The percentage of people enjoy Enjoy all the three
= 28% - 12% - 18% + 5%
= 3%
16. (x-5)(x+4) = x^2-x-20
17. 2x>7 = x=3.5
18. -4
Answer:
960
Step-by-step explanation:
<u>Given:</u>
- Stan's cookie recipe makes 24 cookies.
- It needs exactly 384 sprinkles.
<u>To Find:</u>
- Number of sprinkles needed for 60 cookies
<h2><u>Solution:</u></h2>
<u>Find the number of sprinkles needed for 1 cookie:</u>
- 24 cookies = 384 sprinkles
- 1 cookie = 384 ÷ 24
- 1 cookie = 16 sprinkles
<u>Find the number of sprinkles needed for 60 cookies:</u>
- 1 cookie = 16 sprinkles
- 60 cookies = 16 x 60
- 60 cookies = 960 sprinkles
Answer: Stan will need 960 sprinkles for 60 cookies.
10% is 8.35. 1% is 0.83 so 2% is 1.66. 8.35+1.66=10.01. 83.47+10.01=93.48. 93.48x12=1121.76. The bill will cost £1121.76.