For this, we will be using Triangle Angle Sum Theorem (all interior angles in a triangle add up to 180°) for Triangle BCD. Since Angle CBD and BDC are congruent to each other and Angle BDA, we can solve for those two angles to get that angle. Our equation will look like this:
Firstly, subtract 35 on both sides of the equation: 
Next, divide both sides by 2 and your answer will be 72.5 = x.
Since Angle CBD and BDC are 72.5°, this means that Angle BDA is 72.5° as well.
1) C. <u>19.4
</u>1/3(3)^3 + 5.2(2)
1/3(27) + 10.4
9 + 10.4
= 19.4
2) C. <u>6
</u>9 - (1/2)^4 * 48
9 - 0.0625 * 48
9 - 3
= 6
3) A. <u>2 times y divided by 7</u>
4) C. <u>5p - 4</u>
5) C. <u>Step 2; 4(2) + 4(4x)
</u>Hope this helps!<u>
</u>
Answer:
x = -3, y = 1
Step-by-step explanation:
To find the value of x and y, find the determinant of original matrix, which would be 21.
Then, substitute the value of x with the solutions to the equations and find the determinant of that matrix, which is -63.
Cramer's rule says that Dx ÷ D is the value of x. So, -63 ÷ 21 = -3.
So, the x-value is -3.
You can find the determinant of the y-value in the same way, and you'll find out that y = 1.
Hope this helped! :)
Make them all have the same denominator
32
25+12 16/32+488/32+124/32+38/32+25/32
Add all of the numerators... to get 691/32+1184/32
1875/32
Simplify to get 58 19/32