Answer:
The value of x is 11
Step-by-step explanation:
<em>Two angles are complementary if the sum of their measures is 90°</em>
Let us use this rule to solve our question
∵ The angle of measure (3x)° and the angle of measure (5x + 2)°
are complementary angles
→ That means their sum equals 90°
∴ 3x + 5x + 2 = 90
→ Add the like terms in the left side
∵ (3x + 5x) + 2 = 90
∴ 8x + 2 = 90
→ Subtract 2 from both sides to move 2 from the left side to the right side
∵ 8x + 2 - 2 = 90 - 2
∴ 8x = 88
→ Divide both sides by 8 to find x
∵ 8x/8 = 88/8
∴ x = 11
∴ The value of x is 11
<em>Answer:</em>
<em>t = 15</em>
<em>Step-by-step explanation:</em>
<em>t - 12 = 3</em>
<em>t = 3 + 12</em>
<em>t = 15</em>
Answer:
Step-by-step explanation:
Answer:
(2,-3)
Step-by-step explanation:
I am not sure if you meant the first equation to be y or -y. I solved it as y.
y = x-5 -x -3y =7
I am going to take the second equation and write it as x =
-x - 3y = 7 Give equation
-x = 3y +7 Add 3y to both sides
x = -3y-7 Multiplied each term in the equation by -1 so that x could be positive
I am going to substitute -3y-7 for x in the first equation up above
y = x - 5
y = -3y -7 - 5 Substitute -3y-7 for x
y = -3y -12 Combined -7-5
4y = -12 Added 3y to both sides
y = -3 Divided both sides by 4.
I now know that y is -3, I will plug that into x = -3y-7 to solve for x
x = -3(-3) -7
x = 9-7 A negative times a negative is a positive
x = 2
Answer:
In geometry, a transformation is an operation that moves, flips, or changes a shape (called the preimage) to create a
new shape (called the image). A translation is a type of transformation that moves each point in a figure the same
distance in the same direction. Translations are often referred to as slides. You can describe a translation using words
like "moved up 3 and over 5 to the left" or with notation. There are two types of notation to know.
1. One notation looks like T(3, 5). This notation tells you to add 3 to the x values and add 5 to the y values.
2. The second notation is a mapping rule of the form (x, y) → (x−7, y+5). This notation tells you that the x and
y coordinates are translated to x−7 and y+5.
Step-by-step explanation:
