Answer:
Step-by-step explanation:
Vertices of the quadrilateral ABCD are,
A → (-5, 2)
B → (-3, 4)
C → (-2, 4)
D → (-1, 2)
By reflecting the given quadrilateral ABCD across x-axis to form the image quadrilateral A'B'C'D',
Rule for the reflection of a point across x-axis is,
(x, y) → (x , -y)
Coordinates of the image point A' will be,
A(-5, 2) → A'(-5, -2)
From the picture attached, point E is obtained by translation of point A'.
Rule for the translation of a point by h units right and k units up,
A'(x+h, y+k) → E(x', y')
By this rule,
A'(-5 + h, -2 + k) → E(1, -1)
By comparing coordinates of A' and E,
-5 + h = 1
h = 6
-2 + k = -1
k = 1
That means
Rule for the translation will be,
[(x + 6), (y + 1)]
Answer: 9
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
Keeping on mind that:
(-)(-)=+
(+)(+)=+
(-)(+)=-
You can distribute the signs as following:
Now, you can add all the numbers shown above. Therefore, you obtain the following sum:
Angle 1 is a vertical angle in relation to the given angle, 117°, so it has the same measure.
Angle 2 is a corresponding angle to angle 1 where the transversal crosses parallel lines, so it has the same measure. (It is also an alternate exterior angle with respect to 117°, so has the same measure.)
∠1 = ∠2 = 117°
Answer:
Step-by-step explanation:
Let Naomi's wage = £ x
Reduction in wage = 10% of x = 0.1 *x = 0.1x
x - 0.1x = 252
0.9x = 252
x = 252/0.9
= £ 280
Weekly wage if she had received 10% pay increase
Increment = 10% of 280 = 0.1*280 = 28
Weekly wage after increment = 280 +28 = £ 308
If im understanding your post this is what i get
y − 4x = 72
+ y + 4x = 2
_________
2y= 74
Y= 72/2
Y= 36
y − 4x = 72
35-4x=72
-4x=72-35
-4x=37
X= 37/-4
X= - 37/4 or -9.25
Answer in point (-37/4, 36)
