Answer:
answer choice 2
Step-by-step explanation:
Answer:
The value of x is 104
Step-by-step explanation:
we are given 52 we know that 52 is within an isosceles triangle.
which means 2 sides are the same which tells us that the two angles touching the unique side will have the same measure
we also know that a triangle adds up to 180 so 52 + 52 gives us 104 meaning the last angle will be 180 - 104 which is 76
now we have completed the first triangle if
if we look at corner c we know that it's a right angle
we know that right angles are a total of 90 degrees we know that the right angle is split into two complementary angles one of them is 52 which we figured from the first part so
90 - 52 would give us 38 now we know that in triangle CDE one of the measures is 38 at the c corner and another is 90 at the E corner
once again we do 90 + 38 = 128 and subtract that from 180 giving us 52.
Now we know the measures of triangle ADC and CDE
We also know that triangle EDB is a congruent mirror reflection of CDE
So by now we have the measures of 3 triangles CDE ADC AND EDB
we also know that angle F/x is equvilant to the total of both of angle D
so we just add 52 + 52 giving us the measure of the whole angle d combined which we know is eqivilant to angle f
So after all that we know that the value of x is 104 degrees.
Hope this helps its a long explanation but please take ur time to understand and read through it :)
Round trip travel: 2*15miles*$0.45/mile = $13.5
Equipment: $84 + $15.50 + $47 + $32 + $22 = $200.50
Tax = $200.50 * 5%/100 = 10.025
Lessons: $25*10 = $250
Total cost = 13.5 + 200.5 + 10.025 + 250 = $474.025
Answer:
B = (-11, -17)
C = (11, -17)
Step-by-step explanation:
Reflection over the x-axis is accomplished by changing the sign of the y-coordinate:
(x, y) ⇒ (x, -y) . . . . . reflection over x-axis
Reflection over the y-axis is accomplished by changing the sign of the x-coordinate:
(x, y) ⇒ (-x, y) . . . . . reflection over the y-axis
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B = (-11, -17)
C = (11, -17)
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<em>Check</em>
Reflection over both axes negates both coordinates. It is equivalent to reflection over the origin, or rotation 180°.
A(-11, 17) ⇒ C(11, -17) . . . . . both coordinates change sign
