<span> If ∆POW ≅∆BAM
</span>congruent <span>sides:
</span>PO = BA
OW = AM
PW = BM
<span>congruent </span>angles:
<P = <B
<O = <A
<W = <M
Answer:
B
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
The expression Jackie came up with is:
0.75m = 15.75.
To get the value of m, we divide both sides by 0.75
0.75m = 15.75.
0.75m/0.75 = 15.75/0.75
m = 1575/75
= 21
Answer:
The volume of the region V = 2
Step-by-step explanation:
Given that:
;
where initially;

The volume of the region is given by a triple which is expressed as:



![V = \int \limits ^{1}_{0} \int \limits ^{ 1}_{-1} \Bigg [z \Bigg]^{3y^2}_{0} \ dy \ dx](https://tex.z-dn.net/?f=V%20%3D%20%5Cint%20%5Climits%20%5E%7B1%7D_%7B0%7D%20%20%5Cint%20%5Climits%20%20%5E%7B%201%7D_%7B-1%7D%20%20%20%5CBigg%20%5Bz%20%5CBigg%5D%5E%7B3y%5E2%7D_%7B0%7D%20%5C%20dy%20%5C%20dx)
![V = \int \limits ^{1}_{0} \int \limits ^{ 1}_{-1} \Bigg [3y^2 \Bigg] \ dy \ dx](https://tex.z-dn.net/?f=V%20%3D%20%5Cint%20%5Climits%20%5E%7B1%7D_%7B0%7D%20%20%5Cint%20%5Climits%20%20%5E%7B%201%7D_%7B-1%7D%20%20%20%5CBigg%20%5B3y%5E2%20%5CBigg%5D%20%20%5C%20dy%20%5C%20dx)
![V = \int \limits ^{1}_{0} \Bigg [\dfrac{3y^3}{3} \Bigg]^1_{-1} \ dx](https://tex.z-dn.net/?f=V%20%3D%20%5Cint%20%5Climits%20%5E%7B1%7D_%7B0%7D%20%20%20%5CBigg%20%5B%5Cdfrac%7B3y%5E3%7D%7B3%7D%20%5CBigg%5D%5E1_%7B-1%7D%20%20%20%5C%20dx)
![V = \int \limits ^{1}_{0} \Bigg [\dfrac{3(1)^3}{3}- \dfrac{3(-1)^3}{3} \Bigg] \ dx](https://tex.z-dn.net/?f=V%20%3D%20%5Cint%20%5Climits%20%5E%7B1%7D_%7B0%7D%20%20%20%5CBigg%20%5B%5Cdfrac%7B3%281%29%5E3%7D%7B3%7D-%20%5Cdfrac%7B3%28-1%29%5E3%7D%7B3%7D%20%5CBigg%5D%20%20%20%5C%20dx)
![V = \int \limits ^{1}_{0} \Bigg [1-(-1)\Bigg] \ dx](https://tex.z-dn.net/?f=V%20%3D%20%5Cint%20%5Climits%20%5E%7B1%7D_%7B0%7D%20%20%20%5CBigg%20%5B1-%28-1%29%5CBigg%5D%20%20%20%5C%20dx)
![V =2 \Bigg [x \Bigg] ^1_0](https://tex.z-dn.net/?f=V%20%3D2%20%20%5CBigg%20%5Bx%20%5CBigg%5D%20%5E1_0)
V = 2
Thus, the volume of the region is 2
In a parallelogram, opposite angles are equal, since you are given that this is a parallelogram, you know that opposite angles are indeed equal. That would mean that 125 is equal to x and 55 is equal to y. If you want to check your work, the interior angles of a quadrilateral sum to 360, 125+125+55+55 is 360, so you're good.