The perimeter of triangle ABC is 24 units
Step-by-step explanation:
If a segment joining the mid points of two sides of a triangle, then
this segment is:
- Parallel to the third side
- Its length is half the length of the third side
In The triangle XYZ
∵ A is the mid point of XY
∵ B is the mid point of YZ
∴ AB =
XZ
∵ XZ = 18 units
- Substitute the value of XZ in AB
∴ AB =
× 18 = 9 units
∵ B is the mid point of YZ
∵ C is the mid point of XZ
∴ BC =
XY
∵ AY = 7 units
∵ AY =
XY
∴ XY = 2 × AY
∴ XY = 2 × 7
∴ XY = 14 units
∴ BC =
× 14 = 7 units
∵ A is the mid point of XY
∵ C is the mid point of XZ
∴ AC =
YZ
∵ BZ = 8 units
∵ BZ =
YZ
∴ YZ = 2 × BZ
∴ YZ = 2 × 8
∴ YZ = 16 units
∴ AC =
× 16 = 8 units
∵ The perimeter of a triangle = the sum of the lengths of its sides
∴ Perimeter Δ ABC = AB + BC + AC
∴ Perimeter Δ ABC = 9 + 7 + 8 = 24 units
The perimeter of triangle ABC is 24 units
Learn more:
You can learn more about triangles in brainly.com/question/5924921
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15 miles per hour.
Divide the number of miles by the number of hours to get the miles per hour.
Answer:
y = (x - 1)(x - 3)
y = (x + 2)^2
Step-by-step explanation:
3)
Has roots at x = {1, 3}
y = (x - 1)(x - 3)
4)
Has double root at x = -2
y = (x + 2)^2
Answer:
The cost for 1 chair is $2.75 and the cost for 1 table is $8.75
Step-by-step explanation:
Use the elimination method of linear equations to find your answer.
Our equations for this problem are:
3c+5t=52 and 9c+7t=86
1. Multiply the entire first equation by -3.
-3(3c+5t=52)
2. Simplify the equation from above:
-9c-15t=-156
3. Stack the two equations on top of each other and add/subtract:
-9c-15t=-156
9c+7t=86
4. You should be left with -8t=-70. Simplify this to find the value of t:
t=8.75
5. Plug the value of t into any of the original equations and solve for c.
3c+5(8.75)=52
6. Simplify the equation above:
3c+43.75=52
7. Subtract 43.75 from both sides of the equation:
3c=8.25
8. Divide both sides by 3 to get your c value:
c=2.75
From the whole group half the club are boys.
fraction of boys from the whole class = 1/2
from this fraction, 4/9th of the boys have brown eyes
therefore fraction of boys who have brown eyes
= 4/9 of 1/2
the 'of' function is used to multiply

when multiplying fractions numerators are multiplied by numerators and denominators multiplied by denominators

4/18 can be simplified by dividing the whole number by a common number
4/18 divided by 2 = 2/9
the answer is 2/9
2/9 of the club are boys with brown eyes