Answer: The answer is: 13,428,256. Hope this helps!!
Step-by-step explanation:
Answer:
See explanation
Step-by-step explanation:
Given ![\triangle ABC\cong \triangle ADC](https://tex.z-dn.net/?f=%5Ctriangle%20ABC%5Ccong%20%5Ctriangle%20ADC)
According to the order of the vertices,
- side AB in triangle ABC (the first and the second vertices) is congruent to side AD in triangle ADC (the first and the second vertices);
- side BC in triangle ABC (the second and the third vertices) is congruent to side DC in triangle ADC (the second and the third vertices);
- side AC in triangle ABC (the first and the third vertices) is congruent to side AC in triangle ADC (the first and the third vertices);
- angle BAC in triangle ABC is congruent to angle DAC in triangle ADC (the first vertex in each triangle is in the middle when naming the angles);
- angle ABC in triangle ABC is congruent to angle ADC in triangle ADC (the second vertex in each triangle is in the middle when naming the angles);
- angle BCA in triangle ABC is congruent to angle DCA in triangle ADC (the third vertex in each triangle is in the middle when naming the angles);
We will need to have two equations here, having x as the missing length. We know that the chairs are in the same amount on each occasion, so each equation should be equal to the other.
This sets up a problem of:
6x + 7 = 4x + 13
7 and 13 being the leftover chairs and 6 and 4 being the rows. Let’s solve for x.
x = 3
Knowing this, we plug in x for one of the equations
6(3) + 7
18 + 7
25
Liam has 25 chairs.
Answer:
The choice third ; a=9 , c= 18
Step-by-step explanation:
![\sin(60) = \frac{9 \sqrt{3} }{c} \\ \\ c = 18](https://tex.z-dn.net/?f=%20%5Csin%2860%29%20%20%3D%20%20%5Cfrac%7B9%20%5Csqrt%7B3%7D%20%7D%7Bc%7D%20%5C%5C%20%20%5C%5C%20c%20%3D%2018%20)
![\tan(30) = \frac{a}{9 \sqrt{3} } \\ \\ a = 9](https://tex.z-dn.net/?f=%20%5Ctan%2830%29%20%20%3D%20%20%5Cfrac%7Ba%7D%7B9%20%5Csqrt%7B3%7D%20%7D%20%20%5C%5C%20%20%5C%5C%20a%20%3D%209)