Answer:x =8.3
Step-by-step explanation:
Triangle ABG is similar to triangle DBE. This means that the ratio of the length of each side of ∆ABG to the length of the corresponding side of ∆DBE is constant. Therefore,
AB/DB = BG/BE = AG/DE
AB = 11
BG = 10 + x
Therefore,
11/6 = (x + 10)/10
Cross multiplying, it becomes
6(x + 10) = 11 × 10
6x + 60 = 110
Subtracting 60 from left hand side and the right hand side of the equation, it becomes
6x + 60 - 60 = 110 - 60
6x = 50
Dividing the left hand side and the right hand side of the equation by 6, it becomes
6x/6 = 50/6
x = 8.3 rounded up to the nearest tenth
Answer:
(-1, -2)
Step-by-step explanation:
when x = -1 and y = -2,
(-2 · -1) - (-2) = 2 + 2 = 4
Find the ratio of two corresponding sides,
- if you start with the smaller figure, your answer will be less than one
- if you start with the larger figure, your answer will be greater than one
Answer:Change values to whole numbers.
Convert any mixed numbers to fractions.
Convert 3 1/8
3 1/8 = 25/8
We now have:
5 : 3 1/8 = 5 : 25/8
Convert the whole number 5 to a fraction with 1 in the denominator.
We then have:
5 : 3 1/8 = 5/1 : 25/8
Convert fractions to integers by eliminating the denominators.
Our two fractions have unlike denominators so we find the Least Common Denominator and rewrite our fractions as necessary with the common denominator
LCD(5/1, 25/8) = 8
We now have:
5 : 3 1/8 = 40/8 : 25/8
Our two fractions now have like denominators so we can multiply both by 8 to eliminate the denominators.
We then have:
5 : 3 1/8 = 40 : 25
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 40 and 25 is 5
Divide both terms by the GCF, 5:
40 ÷ 5 = 8
25 ÷ 5 = 5
The ratio 40 : 25 can be reduced to lowest terms by dividing both terms by the GCF = 5 :
40 : 25 = 8 : 5
Therefore:
5 : 3 1/8 = 8 : 5
Step-by-step explanation:
