Graph the linear function described by the equation y=-3x-2.
2 answers:
You might be interested in
Answer:
a) x = 30°
b) mRS = x = 30°
mST = 4x = 4(30°) = 120°
mTU = 4x = 4(30°) = 120°
mUR = 3x = 3(30°) = 90°
Question:
The complete question as found on Chegg website:
In the diagram below, secants PT and PU have been drawn from exterior point P such that the four arcs
intercepted have the following ratio of measurements:
mRS : mST :MTU : mUR=1:4:4:3
(a) If mRS = x, then write an equation that could be used to solve for x
and find the value of x.
(b) State the measure of each of the four arcs.
mRS =
mST =
MTU
MUR =
Step-by-step explanation:
Find attached the diagram related to the question
mRS : mST : mTU : mUR = 1:4:4:3
Since mRS = x
Writing the ratios of the measure of angle in terms of mRS:
mST = 4× mRS = 4×x = 4x
mTU = 4× mRS = 4×x = 4x
mUR= 3× mRS = 3×x = 3x
The sum of measure the 4 measures of arc = 360° (sum of angle in a circle)
mRS + mST + mTU + mUR = 360°
x + 4x + 4x + 3x = 360
12x = 360
x = 360/12
x = 30°
b) The measure of angle
mRS = x = 30°
mST = 4x = 4(30°) = 120°
mTU = 4x = 4(30°) = 120°
mUR = 3x = 3(30°) = 90°
Question 1:
We have a 45-45-90 right triangle with the hypotenuse being the length from one corner to the opposite corner.
Multiply 30 ft with the square root of 2 and use a calculator to help give you numerical value to get your answer.
Your answer is the second choice.
Question 2:
The equilateral triangle can be divided into 2 30-60-90 triangles with the longer leg being the altitude. To get half of the side length of the right triangle, divide the altitude by the square root of 3.
The full side length is double of that, which is
.
Multiply that by 3 to get the full perimeter.
Your answer is the third choice. Hope this helps! :)
We have a 45-45-90 right triangle with the hypotenuse being the length from one corner to the opposite corner.
Multiply 30 ft with the square root of 2 and use a calculator to help give you numerical value to get your answer.
Your answer is the second choice.
Question 2:
The equilateral triangle can be divided into 2 30-60-90 triangles with the longer leg being the altitude. To get half of the side length of the right triangle, divide the altitude by the square root of 3.
The full side length is double of that, which is
Multiply that by 3 to get the full perimeter.
Your answer is the third choice. Hope this helps! :)