Answer:

Step-by-step explanation:
The form of equation of line given in the problem is the point-slope form of a line. That is given by:

We need
and m (denoted by boxes)
is the y coordinate of the first set of points.
The first coordinate pair is (9,7), so
would be 7

Now, the slope (m).
It has formula

So, x_1 = 9
y_1 = 7
x_2 = 4
y_2 = -8
Substituting, we get the slope to be:

Hence, the equation of the line in point-slope is:

Answer: See the attached image
You have the correct idea for the boxes you've filled out. For the first three boxes in column 1, I would be specific which segments you are dividing. So for instance, in the first box, it would be EG/EB = 55/11 = 5. Then the second box would be EF/EC = 35/7 = 5, and so on. The order of the boxes doesn't matter. The three boxes then combine together to help show that the triangles are similar. Specifically
. The order of the letters is important to help show how the angles pair up and how the sides pair up. We use the SSS similarity theorem here.
The second problem is the same idea, but we use one pair of congruent angles. So we'll use the SAS similarity theorem this time.
Answer:
7.94 x 10⁸miles
Step-by-step explanation:
Given parameters:
Distance of earth from sun = 9.3 x 10⁷miles
Distance of earth from Saturn = 8.87 x 10⁸miles
Unknown:
How much further from the sun is Saturn than Earth = ?
Solution:
To find the solution to this problem, let us find the difference between their distances:
( 8.87 x 10⁸ miles - 9.3 x 10⁷ miles )
= 88.7 x 10⁷ miles - 9.3 x 10⁷ miles
= (88.7 - 9.3) x 10⁷miles
= 79.4 x 10⁷miles
= 7.94 x 10⁸miles
Answer:

Step-by-step explanation:

Answer:
SAS
Step-by-step explanation:
AB=DC which is one side
angles ABC and DCB are both right angles so they are equal
BC=BC because they are the same line segment
and since the congruent angles are between the congruent sides, its SAS