Answer:
The equation of line is y+2=0
Step-by-step explanation:
The equation of line passing through the point 
and having slope m is
Given slope m=0 and given point is is (-2,-2)
therefore equation of the straight line is
Therefore the straight is parallel to negative x-axis(y=-2)
Triangle QRS has 3 congruent sides, so it is equilateral and equiangular.
The sum of the measures of the angles of a triangle is 180 deg, so each angle of triangle QRS is 60 deg.
Angle RQS measures 60 degrees and forms a linear pair with angle PQS. Angles in a linear pair a supplementary. That makes the measure of angle PQS 120 deg. leaving only 60 degrees as the sum of the measures of angles PSQ and SPQ. Triangle PQS is isosceles since sides PQ and QS are congruent. The angles opposite congruent sides of a triangle are congruent, so angle PSQ is congruent to angle SPQ. That means angles PSQ and SPQ measure 30 deg each.
m<PSR = m<PSQ + m<QSR = 30 + 60 = 90
m<PQS = 120
m<PSR : m<PQS = 90 : 120 = 3 : 4
No choice shows the correct answer.
Answer:
The answer is d = C/pi.
Step-by-step explanation:
To solve this equation for the variable d, we must isolate it on the right side of the equation. It is currently being multiplied by pi, so to reverse this action, we should divide both sides of the equation by pi.
c = (pi) * d
c/pi = pi/pi * d
c/pi = d
d = c/pi
Therefore, the answer is d = C/pi.
Hope this helps!
9514 1404 393
Answer:
a) ∆ABC ~ ∆EDC by AA similarity
b) ED/AB = 3/4
c) 15 cm
Step-by-step explanation:
a) Two angles in each triangle are the same, so the AA similarity postulate can be used to declare the ∆ABC ~ ∆EDC. (Each triangle includes a right angle and angle C.)
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b) Corresponding sides are ED/AB, DC/BC, EC/AC. The ratio of corresponding sides is ED/BC = (12 cm)/(16 cm) = 3/4.
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c) Using the ratios identified above, we have ...
DC/BC = 3/4 = x/(20 cm)
x = 3/4(20 cm)
x = 15 cm
Answer:
Step-by-step explanation:
Correct
