On a coordinate plane, triangle A B C has points (negative 2, 7), (negative 2, 3), and (negative 6, 3) and triangle D E F has po
2 answers:
Question:
On a coordinate plane, △ABC has points (-2, 7), (-2, 3), and (-6, 3) and △DEF has points (-2,-10), (-2, -2), and (6, -2).
Given that
Complete the statements to show that △ABC ~ △DEF by the SAS similarity theorem.
Horizontal and vertical lines are __(1)__. So, angles are right angles by definition of perpendicular lines. All right angles are __(2)__
Therefore, △ABC ~ △DEF by the SAS similarity theorem.
Answer:
(1) perpendicular
(2) congruent
Step-by-step explanation:
Required
Fill in the gaps
implies that:
In other words:
AB ~ DE ---- Side (S)
and
BC ~ EF ---- Side (S)
Now to fill in the gap with:
(1) perpendicular
(2) congruent
<u>Further explanation</u>
(1) Vertical lines and horizontal lines meet at a right angle (i.e. 90 degrees). Any two lines that meet at a right angle are perpendicular
(2) Angles with equal measures are congruent. Because right angles have a congruent angles of 90 degrees, then they are congruent.
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Answer:
596.9 cm^2
Step-by-step explanation:
The surface area of a cylinder is where
is the radius of the base of the cylinder and
is the height of the cylinder.
So, the surface area of the cylinder is:
Hello!
Slope-intercept form is this one:
where a is the slope and b the intercept.
So, for transforming these equations to Slope-Intercept you'll need to rearrange the equations by adding or subtracting the same amounts on both sides of the equation (as a rule of thumb, sums are transformed into subtractions and multiplications into divisions).
<span>1) 3x + y = 12
You should notice that Y and X are on the same side of the equation, so by subtracting 3x on both sides of the equation you'll cancel X on the left side:
</span>
<span>
To finish, we rearrange this equation to the form y=a*x+b
</span>
<span>
So, the slope is -3 and the intercept is 12
2) 8=y+5x
</span>You should notice that Y and X are on the same side of the equation, so by subtracting 5x on both sides of the equation you'll cancel X on the right side:
To finish, we rearrange this equation to the form y=a*x+b
So, the slope is -5 and the intercept is 8
3) 6x + 3y = -9
You should notice that Y and X are on the same side of the equation, so by subtracting 6x on both sides of the equation you'll cancel X on the left side:
Now, you should notice that y has a number that is multiplying it, so you'll need to divide the entire equation by 3 to cancel this number on the left side.
To finish, we rearrange this equation to the form y=a*x+b
So, the slope is -2 and the intercept is 3
4) x - 5y = 55
You should notice that Y and X are on the same side of the equation, so by subtracting x on both sides of the equation you'll cancel X on the left side:
Now, you should notice that y has a number that is multiplying it, so you'll need to divide the entire equation by -5 to cancel this number on the left side.
To finish, we rearrange this equation to the form y=a*x+b
So, the slope is 1/5 and the intercept is -11
5) -4x-y=-2
You should notice that Y and X are on the same side of the equation, so by adding 4x on both sides of the equation you'll cancel X on the left side:
Now, you should notice that y has a number that is multiplying it, so you'll need to divide the entire equation by -1 to cancel this number on the left side.
To finish, we rearrange this equation to the form y=a*x+b
So, the slope is -4 and the intercept is 2
6) -16 = -4x + 2y
You should notice that Y and X are on the same side of the equation, so by adding 4x on both sides of the equation you'll cancel X on the right side:
Now, you should notice that y has a number that is multiplying it, so you'll need to divide the entire equation by 2 to cancel this number on the right side.
To finish, we rearrange this equation to the form y=a*x+b
So, the slope is 2 and the intercept is -8
I hope that this helps. Have a nice day!
Slope-intercept form is this one:
So, for transforming these equations to Slope-Intercept you'll need to rearrange the equations by adding or subtracting the same amounts on both sides of the equation (as a rule of thumb, sums are transformed into subtractions and multiplications into divisions).
<span>1) 3x + y = 12
You should notice that Y and X are on the same side of the equation, so by subtracting 3x on both sides of the equation you'll cancel X on the left side:
</span>
<span>
To finish, we rearrange this equation to the form y=a*x+b
</span>
<span>
So, the slope is -3 and the intercept is 12
2) 8=y+5x
</span>You should notice that Y and X are on the same side of the equation, so by subtracting 5x on both sides of the equation you'll cancel X on the right side:
To finish, we rearrange this equation to the form y=a*x+b
So, the slope is -5 and the intercept is 8
3) 6x + 3y = -9
You should notice that Y and X are on the same side of the equation, so by subtracting 6x on both sides of the equation you'll cancel X on the left side:
Now, you should notice that y has a number that is multiplying it, so you'll need to divide the entire equation by 3 to cancel this number on the left side.
To finish, we rearrange this equation to the form y=a*x+b
So, the slope is -2 and the intercept is 3
4) x - 5y = 55
You should notice that Y and X are on the same side of the equation, so by subtracting x on both sides of the equation you'll cancel X on the left side:
Now, you should notice that y has a number that is multiplying it, so you'll need to divide the entire equation by -5 to cancel this number on the left side.
To finish, we rearrange this equation to the form y=a*x+b
So, the slope is 1/5 and the intercept is -11
5) -4x-y=-2
You should notice that Y and X are on the same side of the equation, so by adding 4x on both sides of the equation you'll cancel X on the left side:
Now, you should notice that y has a number that is multiplying it, so you'll need to divide the entire equation by -1 to cancel this number on the left side.
To finish, we rearrange this equation to the form y=a*x+b
So, the slope is -4 and the intercept is 2
6) -16 = -4x + 2y
You should notice that Y and X are on the same side of the equation, so by adding 4x on both sides of the equation you'll cancel X on the right side:
Now, you should notice that y has a number that is multiplying it, so you'll need to divide the entire equation by 2 to cancel this number on the right side.
To finish, we rearrange this equation to the form y=a*x+b
So, the slope is 2 and the intercept is -8
I hope that this helps. Have a nice day!
Answer:
Los pinos ocupan o <em>1 millón seiscientos veinte mil metros cuadrados</em>.
Step-by-step explanation:
Una manera de resolver este problema es la siguiente:
En palabras, , o <em>dos kilómetros cuadrados</em> son iguales a <em>2 millones de metros cuadrados</em>.
Sabemos que:
- Estos
de bosque lo ocupan hayas y pinos, y, adicionalmente,
- Las hayas ocupan
.
De esta manera, <em>la parte que ocupan los pinos es el total del bosque menos el área ocupada por las hayas</em>. Por lo tanto, el área ocupada por los pinos es:
¿Cuántos metros cuadrados ocupan los pinos?
Los pinos ocupan, entonces, o <em>1 millón seiscientos veinte mil metros cuadrados</em>.