Answer:-5
Step-by-step explanation:
2x+7-x+12=14
x+19=14
x=-5
2/3x + 4=6. Is that what you mean?
Answer:
b and d
Step-by-step explanation:
Under a reflection in the x - axis
a point (x, y ) → (x, - y ) , then
H (9, 1 ) → H' (9, - 1 )
the x- coordinate is 9 → b
the y- coordinate is - 1 → d
Answer:

Step-by-step explanation:
Use a cofunction identity on the right hand side or left hand side...
So
.
We have the equation:

Make the above replacement:

Since cotangent has period 180 degrees, we can also write this as:

So solving the following will give us a set of solutions for
:

Add
on both sides:

Subtract 10 on both sides:

Divide both sides by 2:

Symmetric property:

Answer: 6. x=29yd 7. x-6.5cm
Step-by-step explanation:
6. All the sides of the square are equal (we know this because of the little lines on the sides), and the equation for finding the hypotanuse of a triangle is a^2+b^2=c^2. That's 20^2+21^2=x^2. That simplifies to 841^2=x^2, which then simplifies to x=29.
7. The bottom of the triangles are the same length, so each one is 2.5cm long. The angles are also the same, which means that the triangles are equal, so we have 2 similarities between the triangles, so they are both the same (You'll learn why later in math)