Answer:
x=7
Step-by-step explanation:
The two triangles are similar .
We can use the ratio's of the side to figure out x
2 3.5
-------- = --------------
4 x
Using cross products
2x = 4*3.5
2x=14
Divide each side by 2.
2x/2 = 14/2
x=7
The domain of h(x) = f(x) /g(x) will be all real numbers without -6 because for -6 will result the denominator equal zero and hence this fraction will be undefined
Answer:
i) The value of x is 3.
ii) TE = 20cm
RN = 20cm
Step-by-step explanation:
According to the properties of rectangles,
The diagonals of rectangles are equal and bisect each other at 90°.
As per this,
OR = OT



TE = 2OT
TE = 2(3x + 1)
= 6x + 2
= 6(3) + 2
= 18 + 2
= 20
RN = 2OR
RN = 2(2x + 4)
= 4x + 8
= 4(3) + 8
= 12 + 8
= 20
<h3>
Answer: 20 cm, 35 cm, and 50 cm</h3>
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Explanation:
The sides are in the ratio 4:7:10
This scales up to 4x:7x:10x showing that the sides are 4x, 7x and 10x. The variable x is some positive real number.
Add up the sides and set this equal to the given perimeter 105. Solve for x.
4x+7x+10x = 105
21x = 105
x = 105/21
x = 5
This value is then plugged into each side
- 4x = 4*5 = 20
- 7x = 7*5 = 35
- 10x = 10*5 = 50
The triangle has sides of 20 cm, 35 cm, and 50 cm.
Note how the ratio 20:35:50 reduces to 4:7:10 after dividing all three parts by the GCF 5. Also, we can see that 20+35+50 = 105 to fully confirm our answer.
Answer:

Step-by-step explanation:
In this question, we're trying to find how many circles are there and represent it as a fraction.
We know that he drew:
- 3 triangles
- 4 rectangles
- 7 arrows
- Set of 20 shapes
We need to find how many circles are there.
3 tiangles + 4 rectangles + 7 arrows = 14 shapes
We know that there is suppose to be 20 shapes, this means that the remaining amount would be circles (6 circles)
We now know that there are 6 circles and 20 shapes in total.
This means that the fraction that would represent circles is 6/20
<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>