A horizontal line has points A , E, D. A line extends vertically from point E to point C and forms a right angle at C E D. A lin
e extends up and to the left from point E to point B.
Which statement is true about the given information?
∠CED measures 45°.
∠CED measures 180°.
∠AEC measures 90°.
∠AEC measures 45°.
Which statement is true about the given information?
∠CED measures 45°.
∠CED measures 180°.
∠AEC measures 90°.
∠AEC measures 45°.
2 answers:
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<h2>Answer:</h2>
Slope-intercept form:
What the variables mean:
Y=the y axis
m=the slope
x=the x-axis
b=the y intercept (the point on the line that crosses the y-axis)
To Calculate the Slope:
1. Find any 2 points on the line
2. The number of units the second point is above the first is the numerator
3. The number of units the second point is to the right of the first is a denominator
(Please see the picture attached)
To Find the Y-Intercept:
1. Find the point on the line that crosses the y-axis
(Please see the picture attached)
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°
