Answer:
r= 7.14 (rounded to 2 decimal places)
Step-by-step explanation:
We have to solve this equation for the value of r. We will use distributive property and basic algebra to solve this.
Distributive property is a(b+c) = ab + ac
Now, the steps of solving are shown below:
Hence, value of r is 7.14 (rounded to 2 decimal places)
The counter example: m∠ ABC = 35°, and m∠ CBD = 25°.
An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. When two planes intersect each other will create an angle.
Point C is the interior of ABD.
The measure of angle ABD is 60°.
The measure of angle ABC is 40°.
The measure of angle CBD is 20°.
Now when we add the angle ABC and CBD:
∠ ABC + ∠ CBD = 40° + 20°
∠ ABC + ∠ CBD = 60°
∠ ABC + ∠ CBD = ∠ ABD
The counter-example will be:
∠ ABD = ∠ ABC + ∠ CBD
60° = 35° + 25°
Therefore,
∠ ABC = 35° and ∠ CBD = 25°
Learn more about angle here:
brainly.com/question/22323626
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Answer:
x equals 3.00cm
Step-by-step explanation:
Use Pythagoras' Theorem.
a = (14x-45)
b = (16x+27)
c = (25x)
Plug in the variables above into Pythagoras' Theorem that is, a^2+b^2=c^2.
Solve the resulting quadratic equation and reject the negative answer as length is always positive.
4x°=75-x° this might be wrong but I’m sure
Answer:
88 inches
Step-by-step explanation:
The given bicycle has a tyre that is 28 inches in diameter.
How far the bicycle moves forward each time the wheel goes around is the circumference of the bicycle tyre.
This is calculated using the formula:
C =\pi \: d
We substitute the diameter and
\pi = \frac{22}{7}
C = \frac{22}{7} \times 28
This simplifies to
C =22 \times 4
88 \: inches
