Answer: 95°
Step-by-step explanation: We are given information for Angles 1 and 4, which happen to be vertical angles, meaning they are congruent. Because of this, we can say 3x+10=4x-15, therefore x=25. Angles 1,2,3 and 4 must add up to 360°, and since we know angles 1 and 4 are 85° (3*25 + 10 = 85), we can find angles 2 and 3. 360° - 85° - 85° = Angle 2 + Angle 3. Angle 2 + Angle 3 = 190, and because Angles 2 and 3 are vertical angles and therefore congruent, we can divide 190 by 2 and get that Angles 2 and 3 equal 95°. Because lines b and c are parallel, any corresponding angles created by a transversal are congruent. This basically means Angles 3 and 7 must be congruent, therefore Angle 7 = 95°
Congruent - same meaning as equal
Vertical Angles - each of the pairs of opposite angles made by two intersecting lines.
<span>Volume of a square = (s)(s)(s) and s=5a+4b
Therefore: (5a+4b)(5a+4b)(5a+4b)=
(25a^2+40ab+16b^2)(5a+4b)=
(125a^3+200a^2b+80ab^2+100a^2b+160ab^2+64b^3)= (125a^3+300a^2b+240ab^2+64b^3)
You just multiple the first time the second and then do so again with the combination of the first two times the second. A little cleaning up and you are left with an equation in terms of a and b.</span>
7 + 3(4) - 2
7 + 12 - 2
19 - 2
= 17
Answer: See explanation
Step-by-step explanation:
We are given the numbers 5,4,2, and 2 and told to make an equation from it and get a final answer as 24. This will be:
= 5 × 4 + 2 + 2
= 20 + 2 + 2
= 24.
Since we have gotten a final answer of 24, the equation is solved.
I believe the answer is 57
