Answer:
1 is 136, 2 is 44, annd 4 is 44
Step-by-step explanation:
The measure of angle (m ∠A) is 136°
<h3>Vertical angles theorem</h3>
From the question, we are to find the measure of angle A
From the given information, we have that
∠A and ∠B are vertical angles
Thus
∠A = ∠B
and
Also, from the given information,
m ∠A=(2x+26)°
and
m ∠B= (3x−29)°
∴ (2x+26)° = (3x−29)°
Now, solve for x
2x + 26 = 3x - 29
26 + 29 = 3x - 2x
55 = x
∴ x = 55
But measure of angle A is given by
m ∠A=(2x+26)°
Put the value of x into the equation,
m ∠A=(2(55)+26)°
m ∠A=(110+26)°
m ∠A = 136°
Hence, the measure of angle (m ∠A) is 136°
Learn more on Vertical angle theorem here: brainly.com/question/24839702
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Answer:
(-4, 5)
Step-by-step explanation:
Since the pint is reflected over the y-axis, its y-coordinate remains the same.
Point (4, 5) has 4 as its x-coordinate. That is 4 units right of the y-axis. The reflection has -4 as its x-coordinate which is 4 units left of the y-axis.
Answer: (-4, 5)
Answer:
- D. A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin
Step-by-step explanation:
<em>See the picture for better visual</em>
Take segments ST and S'T'. If we extend them they will intersect at right angle.
It is the indication that the rotation is 90° or 270° but not 180°, when the corresponding segments come parallel.
The QRST is in the quadrant IV and Q'R'S'T' is in the quadrant III, which mean the rotation is 90° clockwise or 270° counterclockwise.
<u>This rotation rule is:</u>
We also see the points S and T have x-coordinate of 5 but their images have y-coordinates of -6. It means the translation to the right by 1 unit was the step before rotation.
<u>We now can conclude the correct choice is D:</u>
- A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin
Answer:
135 degrees
Step-by-step explanation:
(8x-7)+(12x+57)=180
combine like terms
20x+50 = 180
subtract 50 on both sides
20x = 130
divide by 20
x = 130/20
x = 13/2
x = 6.5
cpq = 12x+57
cpq = 78 + 57
cpq = 135
