<h2>
Answer:</h2>
a. True.
b. False.
c. True.
d. True.
e. True.
<h2>
Step-by-step explanation:</h2>
a. This statement is true because angles 6 and 8 are vertical angles. That means they are congruent.
b. This statement is false because Elm Street is a straight line, which means that angles 1 and 2 are supplementary angles and their measures will add up to be 180 degrees. 65 + 125 = 190, which is not equal to 180.
c. This statement is true because angles 5 and 1 correspond to each other.
d. This statement is true because angles 7 and 8 form a straight line.
e. This statement is true because they are interior angles that are alternate.
<h3>Hope this helps! </h3>
In four meters there is only 400 centimeters. So it's clear that 450 centimeters is greater than 4 meters.
The volume of the box is
.. V = (90 cm)*(45 cm)*(45 cm) = 182,250 cm³
The empty 15% of the volume is then
.. empty volume = 0.15*182,250 cm³ = 27,337.5 cm³
This will require
.. (empty volume)/(volume / bag) = 27,337.5 cm³ / (28,316 cm³/bag) ≈ 0.97 bag
to fill.
Selection A. 1 bag is appropriate.
Y = 6x
4x + y = 7
(substitute y = 6x in the ‘y’ spot in 4x + y = 7)
4x + 6x = 7
10x = 7
/10 on both sides
x = 7/10
(substitute x = 7/10 in the ‘x’ spot in either of the two equations)
y = 6x
y = 6(7/10)
y = 4.2 = 21/5
Answer:
x = 7/10
y = 21/5
We have the following points and their coordinates:
We must compute the distance ST between them.
The distance ST between the two points is given by:
![ST=\sqrt[]{(x_S-x_T)^2+(y_S-y_T)^2_{}},](https://tex.z-dn.net/?f=ST%3D%5Csqrt%5B%5D%7B%28x_S-x_T%29%5E2%2B%28y_S-y_T%29%5E2_%7B%7D%7D%2C)
where (xS,yS) are the coordinates of the point S and (xT,yT) are the coordinates of the point T.
Replacing the coordinates of the points in the formula above, we find that:
![\begin{gathered} ST=\sqrt[]{(-3_{}-(-2)_{})^2+(10_{}-3_{})^2_{}}, \\ ST=\sqrt[]{1^2+7^2}, \\ ST=\sqrt[]{50}\text{.} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20ST%3D%5Csqrt%5B%5D%7B%28-3_%7B%7D-%28-2%29_%7B%7D%29%5E2%2B%2810_%7B%7D-3_%7B%7D%29%5E2_%7B%7D%7D%2C%20%5C%5C%20ST%3D%5Csqrt%5B%5D%7B1%5E2%2B7%5E2%7D%2C%20%5C%5C%20ST%3D%5Csqrt%5B%5D%7B50%7D%5Ctext%7B.%7D%20%5Cend%7Bgathered%7D)
Answer: ST = √50
