Answer:
<u>option 1</u>
Step-by-step explanation:
The question is as shown in the attached figure.
From the figure, we can deduce that:
∠U ≅ ∠X and ∠W ≅ ∠Z and ∠V ≅ ∠Y
So, ΔUWV similar to ΔXZY
But it is required to know " How can the triangles be proven similar by the SSS similarity theorem? "
So, we need to prove the corresponding angles are proportion
With the help of the previous corresponding angles.
So, we need to show that the ratios are equivalent.
So, the answer is <u>option 1</u>
Answer:
A cone with base radius of 17 in
Step-by-step explanation:
Given
Triangle ABC
Where
AB = BC = 24in
D = Midpoint of AC
Required
Which best describes the resulting three-dimensional figure?
First, the length of the third side of the triangle has to be calculated
The sides of triangle ABC are AB, AC and BC
Given that the perimeter = 82 in
AB + AC + BC = 82
Recall that AB = BC = 24in; The equation becomes
Collect like terms
Given that, the triangle is rotated at D, the midpoint of AC
The length of the midpoint has to be calculated
At this point, we can dismiss options C and D.
This is because; a triangular pyramid is formed by more than 1 triangles (at least 3 triangle) and in this case, we're dealing with only 1 triangle.
So, we have option A and B to select from.
When the triangle is rotated at point D, it generates a cone such that the radius of the cone is the distance at point D.
This implies that, a cone with base radius D is generated.
Recall that D = 17.
Hence, <em>A cone with base radius of 17 in</em>
Answer:
Step-by-step explanation:
<h3> The missing question is: "What is the Functions formula A(t)=?"</h3><h2 />The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
According to the data given in the exercise, you know that:
- represents the area to paint the Hiros' romm as a function of time.
- The rate he painted the room was 8 square meters per hour.
- The area left to paint after 3 hours was 28 m².
Therefore, based on this, you can idenfity that:
1. The slope of the line is:
2. One of the point on the line is:
So you must substitute the slope and the coordinates of that point into and then solve for "b" in order to find its value:
Therefore, you can determine that the function is:
Answer:
Step-by-step explanation:
<h3>Given</h3><u>Equations as per given are:</u>
<u>Subtract equation 1 from equation 3:</u>
<u>Considering this in the equation 2:</u>
<u>Substituting s in the equation 1:</u>
<u>Answer:</u> Love seat costs $500
Answer: The drive was 24.32% full when the transfer began.
Step-by-step explanation:
Given: The rate of transferring file = 4.44 megabytes per second.
After 32 seconds, the amount of data on the drive = 384 megabytes
The amount of transferred data = megabytes
Therefore, the amount of data in the drive at the beginning is given by :-
The drive had a maximum capacity of 1000 megabytes.
Hence, the drive was 24.32% full when the transfer began.