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myrzilka [38]
3 years ago
10

A triangle has a angle of x, 40 and 30 what is the angle of x

Mathematics
2 answers:
skad [1K]3 years ago
6 0

Answer:

x = 110

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , then

x + 40° + 30° = 180°

x + 70° = 180° ( subtract 70° from both sides )

x = 110°

kompoz [17]3 years ago
3 0

Sum of interior angles of a triangle = 180°

x+40+30= 180°

x+ 70=180

x= 180-70

x= 110°

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If rectangle ABCD is rotated counter clock wise 90º about the origin, what will be the coordinates of the vertex D'?
7nadin3 [17]
So, the best way to do this is translate it to clockwise. 90 degrees counterclockwise is equal to 270 degrees clockwise. So, basically, to rotate, you would follow the following format for each point-
(X,Y) -> (-Y,X)
Now, you do it for each of the points.
A= (-5,5), so A' would be (-5,-5)
B= (-1,5), so B' would be (-5,-1)
C= (-5,4), so C' would be (-4,-5)
D= (-1,4) so D' would be (-4,-1)
Notice, how all the points end up in the square below it. Each quadrant has a specific number. The top right is quadrant 1, the top left is quadrant 2, the bottom left is quadrant 3, and the bottom right is quadrant 4. If you are rotating 270 degrees clockwise, you move to the right, like a clock. That puts the new rectangle in quadrant 3. That is a way to check your work.
Now, just so you know for future reference, the following are also different formats for different problems--
A 90 degree Clockwise rotation about the origin will be (X,Y) -> (Y, -X) *Note, -x just stands for the opposite. Say your original x is a negative number. Then the prime (new) x will be positive.
A 180 degree Clockwise rotation about the origin would be (X,Y) -> (-X,-Y) *Note, -y also stands for the opposite.
A 270 degree clockwise rotation about the origin would be (X,Y) -> (-Y,X).
For translating---
90 degrees Clockwise = 270 degrees Counter
270 degrees Clockwise = 90 degrees Counter

Hope this helped!
4 0
3 years ago
Help pls, Which graph correctly shows point A representing z1 − z2 on a complex plane where z1 and z2 are complex numbers?
Marianna [84]

Answer:

The first diagram is the correct one

Step-by-step explanation:

Notice that the subtraction of two complex numbers (z1- z2) implies the use of the opposite for the real and imaginary part of the complex number that is subtracted (in our case of z2). When we do such, the complex number z2 gets reflected about the origin (0,0), and then the real components of the two numbers get added among themselves and the imaginary components get added among themselves.

The diagram that shows such reflection about the origin [ z2 = 3 + 5 i being converted into -3 - 5 i] and then the combination of real parts [-3 + 5 = 2] and imaginary parts [-5 i - 3 i = - 8 i], is the very first diagram shown.

4 0
3 years ago
|2x + 5| = 13 please show work
gtnhenbr [62]

Answer:

x=4

Step-by-step explanation:

|2x + 5| = 13

      -5      -5

|2x| = 8

2x/2  8/2

|x| = 4

3 0
2 years ago
Tammy's allowance is $5.00. She did extra chores around the house and earned an
ikadub [295]

Answer:

5.50 this should help :p

8 0
2 years ago
Read 2 more answers
Machine M, working alone at its constant rate, produces x widgets every 4 minutes. Machine N, working alone at its constant rate
Harman [31]

Answer:

Yes

Step-by-step explanation:

Given that Machine M, working alone at its constant rate, produces x widgets every 4 minutes. Machine N, working alone at its constant rate, produces y widgets every 5 minutes.

When both machines work for 20 minutes

Machine A would produce = \frac{20}{4} =5 widget and

Machine B would produce = \frac{20}{5} =4 widgets

So we can say that Machine A would produce more widgets than Machine N at that time.

Answer is Yes

8 0
3 years ago
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