Answer:
B) 10g
Step-by-step explanation:
Collect like terms
8g + 4g - 2g = 10g
2 - 2 = 0
10g + 0= 0
The base is 315. Perimeter of base is 72.
Answer:
0.6 feet
Step-by-step explanation:
We solve this question using the Trigonometric function of Tangent.
tan θ = Opposite/Adjacent.
Where:
Opposite = Height /Length of the ramp = ?
Adjacent = Distance from the base of the ramp = 4 feet
θ = 8.1°
Therefore,
tan 8.1° = x/4
Cross Multiply
x = tan 8.1 × 4
x = 0.5692843028 feet
Approximately = 0.6 feet
Length of the ramp = 0.6 feet.
Answer:
The number is 8.
Step-by-step explanation:
Rewrite the word problem as an equation.
The sum of (we will be adding.), half of a number (we can use x, this will be written as x/2.) and double the number (this will be written as 2x) is 20.
To find the number, solve the equation.
x/2 + 2x = 20
Multiply both sides by 2.
x + 4x = 40
Combine terms.
5x = 40
Divide both sides.
x = 8.
If the angle G is moved to a different spot in the circle the angle FGH and angle FEH in the cyclic quadrilateral will change to make it supplementary.
<h3>How to find angles of cyclic quadrilateral?</h3>
A cyclic quadrilateral is inscribed in a circle. It has all its vertices on the circumference of the circle.
Opposite angles in a cyclic quadrilateral are supplementary angles. That means they add up to 180 degrees.
Therefore,
∠F + ∠H = 180°
∠G + ∠E = 180°
Hence, if we moved ∠G to a different spot on the circle, angle FGH would change but angle FEH will also change to make the two opposite angles supplementary.
Therefore, Felix was wrong.
learn more on cyclic quadrilateral here: brainly.com/question/21208662
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