The question is an illustration of equivalent ratios and similar triangles.
<em>The true option is: </em><em />
From the diagram, we have:
---- This is so because both lines are marked once
Also, we have:
---- This is so because both lines are marked twice
Divide both equations
Hence, the true option is:
Read more about similar triangles at:
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Answer:
x = 2
Explanation:
First, make sure they both have common denominators ( 15 )
5 × 3 = 15 and 3 × 5 = 15
Whatever you do to the denominator you have to apply to the numerator. So, multiply the numerator and denominator of the first fraction by 3.
=
Next, multiply the numerator and denominator of the second fraction by 5.
=
Now we have:
Use distributive property on the numerators of both fractions.
Since the denominators are equal we can ignore them for now and find x.
9<em>x </em>- 3 = 5<em>x</em> + 5
We need to move like terms to different sides to isolate x. First, we can subtract 5<em>x</em> from both sides.
9<em>x</em> - 5<em>x</em> - 3 = 5<em>x</em> - 5<em>x</em> +5
4<em>x</em> - 3 = 5
Then, we can add 3 to both sides to cancel out the -3.
4<em>x</em> - 3 + 3 = 5 + 3
4<em>x</em> = 8
Finally, to find x we divide both sides by 4.
4x ÷ 4 = 8 ÷ 4
x = 2
Answer:
Mean: 67.7 (rounded to the nearest tenth)
Median: 52.2
Mode: 55
Step-by-step explanation:
To find the the mean is to take all the numbers, all them together and divide by how many numbers there is. 50+55+42+38+163+55+61= 564 then divided by 6 is 67.7
to find the median is to put all the numbers in order, (I prefer to go increasing order) and then find the middle number. If there is no middle number you take the two numbers around it and subtract them from one n another.
Mode is to find the most common number. Whichever number repeats itself
Hope I helped!
Answer:
i dont think it matters anymore
Step-by-step explanation:
Answer:
x=-4, y=7
Step-by-step explanation:
-5x-10y=-50...(1)
Multiply both sides by -1:
5x+10y=50
5x=50-10y
x=(50-10y)/5
Substitute <u>x=(50-10y)/5</u> into second given eqaution:
10(50-10y)/5+8y=16
Cancel out common factor 5:
2(50-10y)+8y=16
100-20y+8y=16
-12y=16-100
-12y=-84
y=84/12
y=7
Substitute y=7 into equation (1)
-5x-10(7)=-50
-5x-70=-50
-5x=-50+70
-5x=20
x=-20/5
x=-4