What is the slope of the line that has a equation of y=x-3
1 answer:
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Answer:
m∠PRT = 114°
m∠T = 37°
m∠RPT = 29°
Step-by-step explanation:
This question is incomplete (without a picture) ; here is the picture attached.
In this picture, an airplane is at an altitude 12000 feet.
When the plane is at the point P, pilot can observe two towns at R and T in front of plane.
We have to find the measure of ∠PRT, ∠T and ∠RPT.
Form the figure attached segment PS is parallel to RT and PR is a transverse.
We know that internal angles formed on one side of the parallel lines by a transverse are supplementary.
Therefore, x + 66 = 180
x = 180 - 66 = 114°
∠PRT = x = 114°
m∠RPT = m∠SPR - m∠SPT
= 66 - 37
= 29°
Since m∠PRT + m∠T + m∠RPT = 180°
114 + ∠T + 29 = 180
143 + ∠T = 180
∠T = 180 - 143
∠T = 37°
Answer:
Step-by-step explanation:
The equation of a parabola in vertex form:
<em>(h, k)</em><em> - vertex</em>
The focus is
We have the vertex (2, -5) and the focus (2, -4).
Calculate the value of <em>a</em> using
<em>k = -5</em>
<em>add 5 to both sides</em>
<em>multiply both sides by 4</em>
Substitute
to the vertex form of an equation of a parabola:
The standard form:
Convert using
<em>use the distributive property: a(b+c)=ab+ac</em>