The true statement about the circle with center P is that triangles QRP and STP are congruent, and the length of the minor arc is 11/20π
<h3>The circle with center P</h3>
Given that the circle has a center P
It means that lengths PQ, PR, PS and PT
From the question, we understand that QR = ST.
This implies that triangles QRP and STP are congruent.
i.e. △QRP ≅ △STP is true
<h3>The length of the minor arc</h3>
The given parameters are:
Angle, Ф = 99
Radius, r = 1
The length of the arc is:
L = Ф/360 * 2πr
So, we have:
L = 99/360 * 2π * 1
Evaluate
L = 198/360π
Divide
L = 11/20π
Hence, the length of the minor arc is 11/20π
Read more about circle and arcs at:
brainly.com/question/3652658
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<em>Answer:</em>
<em>r = -</em>
<em />
<em>Step-by-step explanation:</em>
<em>Rewrite the equation as </em>
<em> = m</em>
<em>Remove the radical on the left side of the equation by squaring both sides of the equation.</em>
<em>(</em>
<em> = m^2</em>
<em>Then, you simplify each of the equation. </em>
<em>Rewrite: (</em><em> as </em>
<em />
<em>Remove any parentheses if needed.</em>
<em>Solve for r. </em>
<em>Multiply each term by r and simplify."</em>
<em>Multiply both sides of the equation by 5.</em>
<em>6a+r= m^2r⋅(5)</em>
<em>Remove parentheses.</em>
<em>Move 5 to the left of (m
^2) r
</em>
<em>6a+r=5m^2)r</em>
<em>Subtract 5m^2)r from both sides of the equation.</em>
<em>6a+r-5m^2)r=0</em>
<em>Subtract 6a from both sides of the equation.</em>
<em>r-5m^2)r=-6a</em>
<em>Factor r out of r-5m^2)r </em>
<em>r(1-5m^2)=-6a</em>
Divide each term by 1-5m^2 and simplify.
r = -
There you go, hope this helps!
Answer:
The y-intercept is (0,-26)
Step-by-step explanation:
Given two points P(a,b) and Q(c,d), the line that passes for both points can be found with the expression
We'll take the first two points P(34,-52) and Q(51,-65) to find
Let's verify if the third point is on the line:
It belongs to the line. To find the y-intercept of the line, we set x to 0
The y-intercept is (0,-26)
Answer:
<h2>C</h2>
Step-by-step explanation:
To determine a function rule, look at the table. Input the x and y value from one column into the function to see if it is correct.
<h3>Function a: y = 10 - 2x</h3>
Input values
22 = 10 - 2(6)
22 = 10 - 12
22 ≠ -2 ❌
As we can see, function a gives us a false statement, so a is incorrect.
<h3>Function b: y = 2 - 10x</h3>
Input values
22 = 2 - 10(6)
22 = 2 - 60
22 ≠ -58 ❌
We once again get a false answer, so b is also not correct.
<h3>Function c: y = 10 + 2x</h3>
Input values
22 = 10 + 2(6)
22 = 22 ✔
Finally, we get a true statement, so option c is correct.
<h3>Function d: y = 2 + 10x</h3>
Just to check that option c is correct, we need to prove that d is incorrect.
Input values
22 = 2 + 60
22 ≠ 62 ❌
This is also wrong, so that proves that c is correct.
I'm always happy to help :)
