Fill in the blacks in the following proof:

1. given: 4x=8(x-2)
prove: x = 4



statement i reason
1. 4x=8(x-2) i 1.
2. i 2. distributive property
3. -4x = -16 i 3.
4. x = 4 i 4.

2. write a paragraph for the following conjecture

given: m < sqr = 55°
m < pqs = 35°
prove: △pqr is a right triangle



3. given: m < 1 = 27°, < 1 ^ < 2 are supplementary
prove: m < 2 = 153°

below i attached pictures of the problems in case my explaining was bad. i need this done as soon as possible! you : -)

the thermometer is precise but not accurate

step-by-step explanation:

won't that be plagrisim thought?

step-by-step explanation:

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).