9514 1404 393
Answer:
x = 16
Step-by-step explanation:
Either or both of the right triangles can be used to find x. Or, triangle ABC could be used. All numbers are assumed to be degrees.
<u>Using ∆ABD</u>
55 +90 +2x+3 = 180
2x = 32 . . . . . . subtract 148
x = 16
<u>Using ∆BCD</u>
50 +90 +2x+8 = 180
2x = 32 . . . . . . subtract 148
x = 16
<u>Using ∆ABC</u>
55 +(2x +3) +50 +(2x +8) = 180
4x = 64 . . . . . . . subtract 116
x = 16
Answer:
<h2>D. (42 - 2x)(32 - 2x) = 900</h2>
Step-by-step explanation:
<em>Look at the picture.</em>
The dimensions of the picture:
(42 - 2x)in × (32 -2x)in
The formula of an area of a rectangle:
A = l · w
l - length, w - width
Substitute l = (42 - 2x), w = (32 - 2x) and A = 900
(42 - 2x)(32 - 2x) = 900
Use the Pythagorean theorem since you are working with a right triangle:
a^2+b^2=c^2a2+b2=c2
The legs are a and b and the hypotenuse is c. The hypotenuse is always opposite the 90° angle. Insert the appropriate values:
0.8^2+0.6^2=c^20.82+0.62=c2
Solve for c. Simplify the exponents (x^2=x*xx2=x∗x ):
0.64+0.36=c^20.64+0.36=c2
Add:
1=c^21=c2
Isolate c. Find the square root of both sides:
\begin{gathered}\sqrt{1}=\sqrt{c^2}\\\\\sqrt{1}=c\end{gathered}1=c21=c
Simplify \sqrt{1}1 . Any root of 1 is 1:
c=c= ±11 *
c=1,-1c=1,−1
49,000 is the nearest round to the hundredth to 48,950
Alright, so the first step we are gonna do to solve this problem is subtract since Mason ate 5 ounces of the peanuts and so, we need to subtract 5 out of 29.8.
29.8 - 5 = 24.8
So, now there is 24.8 ounces.
Now we move onto the next step which is division. As you can see in the question it says "Then he divides the rest of the peanuts equally among 4 friends."
24. 8 ÷ 4 = 6.2
Since the answer is supposed to be a decimal..that's your answer!
So overall, each of Mason's friends get 6.2 ounces of peanuts.
Hope this helps!
If you are needing any more help, comment below this comment for any contact of mine. I'll be glad to help!
- Kana
