Answer: 1.5 mm
Step-by-step explanation:
Answer: B) 4 & 1/6
Nice work on getting the correct answer.
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Explanation:
x is opposite the marked acute angle
5 is opposite the corresponding acute angle
So x and 5 are proportional to each other. We can form the ratio x/5
Similarly, 10 and 12 are proportional to one another. We can form the ratio 10/12.
Set those ratios equal to each other and solve for x
x/5 = 10/12
12x = 5*10 ... cross multiply
12x = 50
x = 50/12 ...... divide both sides by 12
x = (25*2)/(6*2)
x = 25/6
x = (24+1)/6
x = 24/6 + 1/6
x = 4 + 1/6
x = 4 & 1/6 which shows why <u>choice B</u> is the answer.
Side note: 25/6 = 4.167 approximately
The mixed number would be 1 and 1/2.
Answer:
Step-by-step explanation:
Given two similar triangles.
Corresponding parts of similar figures have same ratio.
<u>Use ratios to find the value of x:</u>
- (4x - 5)/(x + 7) = 35/12.5
- (4x - 5)/(x + 7) = 14/5
- 5(4x - 5) = 14(x + 7)
- 20x - 25 = 14x + 98
- 20x - 14x = 98 + 25
- 6x = 123
- x = 123/6
- x = 20.5
<u>Find the value of FG:</u>
Answer:
Step-by-step explanation:
The is neither geometric nor arithmetic. The differences have to be the same.
99 - 89.9 = 9.1
89.9 - 78.8 = 11.1
78.8 - 68.7 = 10.1
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