Answer:
m∠OKG = 95°
Step-by-step explanation:
In the given question,
Angle OKL and angle OKG are the linear pairs.
And we know that sum of linear pair of angles is 180°.
Therefore, m∠OKL + m∠OKH = 180°
85° + m∠OKH = 180°
m∠OKH = 180° - 85°
= 95°
Therefore, measure of angle OKG = 95° will be the answer.
Answer:
The reason why linear pairs and vertical angles are used to prove lines are parallel is because they area transversal drawn through the parallel lines will form angles on each of the two parallel lines including;
1) Supplementary linear pairs and
2) Vertical angles
3) Alternate angles
Given that either;
a) The corresponding angles that form the linear pairs are congruent
b) The corresponding vertically opposite angles are congruent
c) The corresponding alternate angles are congruent, we have;
The two lines are said to be parallel.
Step-by-step explanation:
The value of y when the value of x is 8 is 87
<h3>Function and values</h3>
Functions are equation expressed in terms of variables. Given the expression below;
y = 10x + 7
If the value of x is 8, then on substituting, we will have:
y = 10(8) + 7
y = 80 + 7
Simplify
y = 87
Hence the value of y when the value of x is 8 is 87
Learn more on function and values here: brainly.com/question/10439235
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We can find this using the formula: L= ∫√1+ (y')² dx
First we want to solve for y by taking the 1/2 power of both sides:
y=(4(x+1)³)^1/2
y=2(x+1)^3/2
Now, we can take the derivative using the chain rule:
y'=3(x+1)^1/2
We can then square this, so it can be plugged directly into the formula:
(y')²=(3√x+1)²
<span>(y')²=9(x+1)
</span>(y')²=9x+9
We can then plug this into the formula:
L= ∫√1+9x+9 dx *I can't type in the bounds directly on the integral, but the upper bound is 1 and the lower bound is 0
L= ∫(9x+10)^1/2 dx *use u-substitution to solve
L= ∫u^1/2 (du/9)
L= 1/9 ∫u^1/2 du
L= 1/9[(2/3)u^3/2]
L= 2/27 [(9x+10)^3/2] *upper bound is 1 and lower bound is 0
L= 2/27 [19^3/2-10^3/2]
L= 2/27 [√6859 - √1000]
L=3.792318765
The length of the curve is 2/27 [√6859 - √1000] or <span>3.792318765 </span>units.
Answer:
the answer is <u>424</u>
Step-by-step explanation:
you need to use long divison to find the number <3