Answer:
m<CGD = 26°
m<CGF = 100°
Step-by-step explanation:
m<CGD = 2x - 2
m<EGF = 37
m<CGF = 7x + 2
Since GE bisects <DGF, m<DGF = 2*m<EGF.
m<DGF = 2*37 = 74°
m<CGD + m<DGF = m<CGF (angle addition postulate)
(2x - 2) + (74) = (7x + 2)
Find the value of x using the equation above.
2x - 2 + 74 = 7x + 2
Collect like terms
2x + 72 = 7x + 2
-2 + 72 = 7x - 2x
70 = 5x
70/5 = 5x/5
14 = x
x = 14
m<CGD = 2x - 2
Plug in the value of x
m<CGD = 2(14) - 2 = 28 - 2
m<CGD = 26°
m<CGF = 7x + 2
m<CGF = 7(14) + 2 = 98 + 2
m<CGF = 100°
Answer:
21 pints
Step-by-step explanation:
In the paint, the ratio of yellow to blue is 7:3
7:3
x : 9
To find maintain the equivalent ratio and find x, we multiplied both sides of 7:3 by 3
21 : 9
The answer should be 21 pints
Hope this helps :)
Have an awesome day!
The perimeter is the sum of all the sides, so P = (5x -7) + (3x-4) + (2x -6). Then group like terms so you have p = 5x + 3x + 2x -7-4-6 and end up with P = 10x - 17
Answer:
b
Step-by-step explanation:
Answer:
a) 301.6 cm³
b) 188.5 cm²
Step-by-step explanation:
The volume and lateral surface area of the cone can be found using the given dimensions with the given formulas. All that is needed is to substitute the appropriate values and do the arithmetic.
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<h3>a) volume</h3>
The volume is given by the formula ...
V = 1/3πr²h
The dimensions are given on the diagram: r = 6 cm, h = 8 cm. Using these values in the formula, we find the volume to be ...
V = 1/3π(6 cm)²(8 cm) = 96π cm³ ≈ 301.6 cm³
The volume of the cone is about 301.6 cm³.
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<h3>b) area</h3>
The lateral area of the cone is given by the formula ...
A = πrl
The dimensions are given on the diagram: r = 6 cm, l = 10 cm (the slant height). Using these values in the formula, we find the area to be ...
A = π(6 cm)(10 cm) = 60π cm² ≈ 188.5 cm²
The area of the curved surface is about 188.5 cm².
