The values of x, y, and z of the parallelogram are -19°, -115° and 27°
<h3>What is a parallelogram?</h3>
A parallelogram is a two-dimensional geometrical shape whose sides are parallel to each other. It is a type of polygon having four sides (also called quadrilateral), where the pair of parallel sides are equal in length. The Sum of adjacent angles of a parallelogram is equal to 180 degrees.
for a parallelogram opposite angles are equal
-4x -1 = 75
-4x = 76
x = 76/-4
x = -19°
sum of adjacent angles are supplementary
(-y-10) + 75 = 180
-y + 65 = 180
-y = 180 - 65
-y = 115
y = -115°
Also
4z - 3 + 75 = 180
4z + 72 = 180
4z = 180 - 72
4z = 108
z = 108/4
z = 27°
In conclusion, the values of x = -19, y = -115, z = 27
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Answer:
The coordinates of the image point will be (-2,-4).
Step-by-step explanation:
The reflection of the point (2,-4) over the y-axis is to be determined.
Now, as the reflecting mirror is the y-axis, then the y-coordinate of the reflecting point will not change.
So, the image point will have coordinates (h,-4).
Now, after the reflection over the y-axis, the x-coordinate of the image point will change the sign only compared to the original point.
Therefore, the coordinates of the image point will be (-2,-4). (Answer)
Answer:
6.4 minutes, or 6 minutes and 24 seconds
Step-by-step explanation:
She is running 4 laps, so she is running 1600 meters total. If she runs 250 meters per minute, divide 1600 by 250 to determine how many minutes it will take...
1600/250 = 6.4
Which is 6 minutes + 0.4 minutes
*there are 60 seconds in a minute, so the 0.4 represents 40% of another minute. Multiply 60 by 0.4 to see how many seconds this is...
(0.4)60 = 24 seconds,
So she ran the laps in 6 minutes and 24 seconds
Four less than p.
Is that correct?
We need to multiply 4/5 by 4 5/8. We change 4 5/8 into a fraction to do the multiplication.
4/5 * 4 5/8 =
= 4/5 * 37/8
= 148/40
= 37/10
= 3 7/10
Answer: Sara's sister is 3 7/10 ft tall.
