To solve this problem, we must simplify the the equation:
<span>Here is the base equation -2m - 5m - 8 = 3 + (-7) + m (Add all like terms):
</span>#1 -2m - 5m - 8 = 3 + (-7) + m (Property of Addition)<span>
#2 -7m - 8 = -4 + m (Most Simplified Equation)
The answer your would be the 2nd one. </span>-7m - 8 = m - 4
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Answer:
648
Step-by-step explanation:
You can use a calculator or break it into smaller problems, then add them together
37,000 , The 6 is closer to 10 than it is 0
![\huge{ \underline{ \underline{ \gray{ \bf{Solution:}}}}}](https://tex.z-dn.net/?f=%20%5Chuge%7B%20%5Cunderline%7B%20%5Cunderline%7B%20%5Cgray%7B%20%5Cbf%7BSolution%3A%7D%7D%7D%7D%7D)
Let,
- Mass of the steel be 108x
- Mass of the copper be 7x
- Then, Total mass = 108x + 7x = 115x
Given,
- Total mass of the coin = 230 mg
That means,
⇛ Total mass of the coin = 230 mg
⇛ 115x = 230 mg
⇛ x = 230 mg/115
⇛ x = 2 mg
Then,
- Mass of the steel = 108(2) = 216 mg
- Mass of the copper = 7(2) = 14 mg
☁️ ANSWER - 14 mg (Mass of copper)
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Answer:
m∠A = 30°
m∠B = 80°
m∠C = 70°
Step-by-step explanation:
By applying cosine rule in the given triangle,
b² = a² + c² - 2ac[cos(∠B)]
From the given triangle,
a = 14 m
b = 28 m
c = 24 m
(28)² = (14)² + (24)² - 2(14)(24)cos(B)
784 = 196 + 576 - 672cos(∠B)
cos(∠B) = 0.1786
∠B = ![\text{cos}^{-1}(0.1786)](https://tex.z-dn.net/?f=%5Ctext%7Bcos%7D%5E%7B-1%7D%280.1786%29)
∠B = 79.71°
∠B = 80°
By applying sine rule in the given triangle,
![\frac{\text{sinA}}{a}= \frac{\text{sinB}}{b}= \frac{\text{sinC}}{c}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BsinA%7D%7D%7Ba%7D%3D%20%5Cfrac%7B%5Ctext%7BsinB%7D%7D%7Bb%7D%3D%20%5Cfrac%7B%5Ctext%7BsinC%7D%7D%7Bc%7D)
![\frac{\text{sinA}}{14}= \frac{\text{sin(79.71)}}{28}= \frac{\text{sinC}}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BsinA%7D%7D%7B14%7D%3D%20%5Cfrac%7B%5Ctext%7Bsin%2879.71%29%7D%7D%7B28%7D%3D%20%5Cfrac%7B%5Ctext%7BsinC%7D%7D%7B24%7D)
![\frac{\text{sinA}}{14}= \frac{\text{sin(79.71)}}{28}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BsinA%7D%7D%7B14%7D%3D%20%5Cfrac%7B%5Ctext%7Bsin%2879.71%29%7D%7D%7B28%7D)
![\text{sinA}= \frac{\text{sin(79.71)}\times 14}{28}](https://tex.z-dn.net/?f=%5Ctext%7BsinA%7D%3D%20%5Cfrac%7B%5Ctext%7Bsin%2879.71%29%7D%5Ctimes%2014%7D%7B28%7D)
sinA = 0.491958
A = 29.47°
A ≈ 30°
By applying triangle sum theorem,
m∠A + m∠B + m∠C = 180°
30° + 80° + m∠C = 180°
m∠C = 70°