Step-by-step explanation:
from what I can see there are 2 options to make the 2 triangles congruent :
either the opposite sides must be equal or the neighboring sides must be equal.
so, either
5x = 3x + 10
and
5x - 2 = 4x + 3
or
5x = 4x + 3
and
5x - 2 = 3x + 10
for the first
5x = 3x + 10
2x = 10
x = 5
control
5x - 2 = 4w + 3
5×5 - 2 = 4×5 + 3
23 = 23
correct.
for the second
5x = 4x + 3
x = 3
control
5×3 - 2 = 3×3 + 10
15 - 2 = 9 + 10
13 = 19
no, not a valid solution.
so, x = 5
Answer:
<em>y = (-4/3)*x + 7</em>
<em />
Step-by-step explanation:
The point-slope form of the equation of a line is: <em>y = a*x + b </em>
In the above equation, <em>a </em>is the slope of the line representing the equation in the graph and y is the function of x [y = y(x)]
The given line has a slope of -4/3, so that <em>a = -4/3 </em>
=> The equation of this line has a form as following: <em>y = (-4/3)*x + b (1)</em>
<em />
As the line passes through the point (9; -5) (in which: x = 9; y = -5). Replace x =9 and y = -5 into the equation (1), we have:
<em>y = (-4/3)*x + b</em>
<em>=> -5 = (-4/3)*9 + b </em>
<em>=> -5 = -12 + b </em>
<em>=> b = 7</em>
<em />
So that the equation in point-slope form of the given line is:
<em>y = (-4/3)*x + 7</em>
<em />
The answer to that question is 1
Answer:
A. Positive
Step-by-step explanation:
They ask us about the relationship between reading and grades.
First you have to go to the first part of the statement that says:
"Dr. Yancy conducted a correlation study in which she found that the more time children in her study read at home the better they performed in school"
In this case they tell us that there is a positive correlation, that the more you read the better your performance in school is.
Performance is your grades, and home study can be reading, so the score is positive in the second half, too.
I don't get the question u r answering