Answer:
x = -12
Step-by-step explanation:
Let's solve your equation step-by-step.
8+x=−4
Step 1: Simplify both sides of the equation.
x+8=−4
Step 2: Subtract 8 from both sides.
x+8−8=−4−8
x=−12
$3.42
Take the original price and multiply by 1.14
Explanation: 1.14 comes from the whole (1) of the orange juice at the time plus the percent (14% ---> .14).
Hello!
∠E and the angle measuring 119 degrees (we'll refer to this as ∠A) can be classified as supplementary angles. Supplementary angles are two angles whose measures add to a sum of 180 degrees (a straight line). Therefore, we can conclude that sum of ∠E and ∠A is 180 degrees. We can use this information to create the following equation:
∠E + 119 = 180
Now subtract 119 from both sides of the equation:
∠E = 61
We have now proven that ∠E is equal to 61 degrees.
I hope this helps!
Answer:
First one
Step-by-step explanation:
.20 is 20% of 100 and there is 5 boxes and 5 times 20 = 100
Answer:
1) ΔACD is a right triangle at C
=> sin 32° = AC/15
⇔ AC = sin 32°.15 ≈ 7.9 (cm)
2) ΔABC is a right triangle at C, using Pythagoras theorem, we have:
AB² = AC² + BC²
⇔ AB² = 7.9² + 9.7² = 156.5
⇒ AB = 12.5 (cm)
3) ΔABC is a right triangle at C
=> sin ∠BAC = BC/AB
⇔ sin ∠BAC = 9.7/12.5 = 0.776
⇒ ∠BAC ≈ 50.9°
4) ΔACD is a right triangle at C
=> cos 32° = CD/15
⇔ CD = cos32°.15
⇒ CD ≈ 12.72 (cm)
Step-by-step explanation:
