In the process of laying out the question, you have given us important facts about the shaded area and the unshaded area. Now step back for just a second. If they're that deeply involved in the question, do you honestly expect that anybody can answer the question without seeing the picture of them ? ! ?
Answer:
the first one
Step-by-step explanation:
Answer: Option C. They're not similar because only one pair of corresponding angles in the two triangles is congruent.
Solution:
The only one pair of corresponding angles in the two triangles is congruent is the angle BGC in ΔCBG and the angle FGE in ΔFEG, because they are vertical angles (opposite by the vertex)
The list of equations is shown in the picture which equation has No Solution, One Solution, and Infinitely Many Solutions.
<h3>What is a linear equation?</h3>
It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have given a linear equation in one variable.
![\rm \dfrac{1}{2}y + 3.2y = 20](https://tex.z-dn.net/?f=%5Crm%20%5Cdfrac%7B1%7D%7B2%7Dy%20%2B%203.2y%20%3D%2020)
After solving:
y = 5.40 (one solution)
![\rm \dfrac{15}{2}+ 2z -\dfrac{1}{4}=4z+\dfrac{29}{4} -2z](https://tex.z-dn.net/?f=%5Crm%20%5Cdfrac%7B15%7D%7B2%7D%2B%202z%20-%5Cdfrac%7B1%7D%7B4%7D%3D4z%2B%5Cdfrac%7B29%7D%7B4%7D%20%20-2z)
After solving:
![\rm \dfrac{15}{2} -\dfrac{1}{4}=\dfrac{29}{4}](https://tex.z-dn.net/?f=%5Crm%20%5Cdfrac%7B15%7D%7B2%7D%20-%5Cdfrac%7B1%7D%7B4%7D%3D%5Cdfrac%7B29%7D%7B4%7D)
(Infinitely Many Solutions)
3z + 2.5 = 3.2 + 3z
2.5 = 3.2 (no solution)
Similarly, we can identify which equation has No Solution, One Solution, and Infinitely Many Solutions.
Thus, the list of equations is shown in the picture which equation has No Solution, One Solution, and Infinitely Many Solutions.
Learn more about the linear equation here:
brainly.com/question/11897796
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Answer:
The weight of cat is <u>14 pounds</u> and the weight of kitten is <u>4 pounds</u>.
Step-by-step explanation:
Given:
Callie has a new kitten. It can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18 pounds.
Now, to find the weight of each animal:
Let the cat's weight be ![x.](https://tex.z-dn.net/?f=x.)
And the kitten weight = ![\frac{x}{2} -3](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2%7D%20-3)
Total weight of cat and kitten = 18 pounds.
Now, to set an equation to get the weight of each animal:
![(x)+(\frac{x}{2}-3)=18](https://tex.z-dn.net/?f=%28x%29%2B%28%5Cfrac%7Bx%7D%7B2%7D-3%29%3D18)
![x+\frac{x}{2} -3=18](https://tex.z-dn.net/?f=x%2B%5Cfrac%7Bx%7D%7B2%7D%20-3%3D18)
![\frac{2x+x-6}{2} =18](https://tex.z-dn.net/?f=%5Cfrac%7B2x%2Bx-6%7D%7B2%7D%20%3D18)
![\frac{3x-6}{2} =18](https://tex.z-dn.net/?f=%5Cfrac%7B3x-6%7D%7B2%7D%20%3D18)
<em>Multiplying both sides by 2 we get:</em>
<em />
<em />
<em>Adding both sides by 6 we get:</em>
<em />
<em />
<em>Dividing both sides by 3 we get:</em>
<em />
<em />
<em>The weight of cat = 14 pounds.</em>
Substituting the value of
to get the kitten's weight:
![\frac{x}{2} -3\\\\=\frac{14}{2}-3\\\\=7-3\\\\=4.](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B2%7D%20-3%5C%5C%5C%5C%3D%5Cfrac%7B14%7D%7B2%7D-3%5C%5C%5C%5C%3D7-3%5C%5C%5C%5C%3D4.)
<em>The kitten's weight = 4 pounds.</em>
Therefore, the weight of cat is 14 pounds and the weight of kitten is 4 pounds.