Answer:
Step-by-step explanation:
<u>∠A≅∠E, ∠B≅∠F and ∠C is common and congruent to itself, therefore</u>
- ΔABC ~ ΔEFC by AA similarity
<u>Ratio of corresponding sides is same. Get the equation below and solve for x:</u>
- EC/AC = CF/CB
- x/17 = (16+22)/16
- x/17 = 38/16
- x/17 = 19/8
- x = 17*19/8
- x = 40.375
250-22 gives you 228 228/6 gives you how much each cake is, each cake is 38 grams
The equation that could be used to solve for x is (3x-1) = 140 and the value of x is 47°.
According to the question,
We have the following information:
We have two lines that are intersecting each other at a point. The angles made on this point are given.
Now, we know that these two angles are vertically opposite angles. And we also know that vertically opposite angles are equal.
So, we will have the following equation:
3x-1 = 140
Now, we can easily find the value of x from this equation:
Adding 1 on both sides of the equation:
3x = 140+1
3x = 141
Dividing by 3 on both sides:
x = 141/3
x = 47°
Hence, the equation that could be used to solve for x is (3x-1) = 140 and the value of x is 47°.
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Dimensions of the room------------------- >16*13
1 in---------------- >0.0833333 foot
3 in----------------- >x
x=3*.0833333=0.25 ft
Let
<span>C-------------- > dimensions of the piece of carpet that Charlotte must purchase
C-------------- > (16+2*0.25)*(13+2*0.25)---------- > (16.50)*(13.50)=222.75 ft</span>²
<span>
The answer a the question 1) is 16.50 feet X 13.50 feet</span>
The answer a the question 2) is 222.75 ft²
<span>3. How many hours should it take for the four-person crew to lay the flooring in Charlotte's bedroom?
if </span><span>two-person carpet crew can lay 50 square feet of carpet---------- > 1 hour</span><span>
four person </span>carpet crew can lay 100 square feet of carpet---------- > 1 hour
therefore
if 100 ft² carpet----------------------- > 1 hour
222.75 ft² carpet--------------------- > x
x=222.75/100=2.2275 hours=2.23 hours
The answer is 2.23 hours
