Answer:
The answer is option 3.
Step-by-step explanation:
First we have to find the area of both rectangle and triangle :
Rectangle,
![area = base \times height](https://tex.z-dn.net/?f=area%20%3D%20base%20%5Ctimes%20height)
Let base = 9,
Let height = 3,
![area = 9 \times 3 \\ area = 27 \: {m}^{2}](https://tex.z-dn.net/?f=area%20%3D%209%20%5Ctimes%203%20%5C%5C%20area%20%3D%2027%20%5C%3A%20%20%7Bm%7D%5E%7B2%7D%20)
Triangle,
![area = \frac{1}{2} \times base \times height](https://tex.z-dn.net/?f=area%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%20base%20%5Ctimes%20height)
Let base = 3,
Let height = 3,
![area = \frac{1}{2} \times 3 \times 3 \\ area = \frac{1}{2} \times 9 \\ area = \frac{9}{2} \\ area = 4.5 \: {m}^{2}](https://tex.z-dn.net/?f=area%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%203%20%5Ctimes%203%20%5C%5C%20area%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D%20%20%5Ctimes%209%20%5C%5C%20area%20%3D%20%20%5Cfrac%7B9%7D%7B2%7D%20%20%5C%5C%20area%20%3D%204.5%20%5C%3A%20%20%7Bm%7D%5E%7B2%7D%20)
Lastly, in order to find the shaded region you have to substract the area of triangle from the area of rectangle :
![area = 27 - 4.5 \\ area = 22.5 \: {m}^{2}](https://tex.z-dn.net/?f=area%20%3D%2027%20-%204.5%20%5C%5C%20area%20%3D%2022.5%20%5C%3A%20%20%7Bm%7D%5E%7B2%7D%20)
Answer:
I think it is C
Step-by-step explanation:
Answer:
This question makes no sense but, the way that's worded, each user receives 12.57 messages a day. If you meant how many messages total its 531681.6 messages.
From the picture, we see that there are two congruent sides. Therefore, following the Isosceles Triangle Theorem, if two sides in a triangle are congruent, then the angles opposite those sides are congruent. So, we know that the angles opposite of the congruent sides have an angle measure of x°. We are given the measure of the angle at the top vertex of 100°. Following the Triangle Sum Theorem, the three interior angles in a triangle must sum up to 180°. Therefore, we can create an Algebraic equation to solve for the two base angles that measure x°.
x+100+x=180
x=the base angle measures since they are congruent.
100+x+x=180
Community Property of Addition
100+2x=180.
Added x+x as like terms to = 2x.
100-100+2x=180-100
Subtraction of 100 from both sides to cancel it out and move it.
2x=80
Subtraction operation
2x/2=80/2
Divided by 2 to cancel it out on both sides and move it.
x=40°.
Therefore, the two base angles (angles opposite of the two congruent sides) are 40°.
2(40)+100=80+100=180.
So x=40