Answer:
65 degrees.
Step-by-step explanation:
Since angle JLG is 115 degrees, andgle JLH must be 65 because the two angles are supplementary, which means they add up to 180 degrees.
Answer:
(-2x - 1) • (x + 3)
Step-by-step explanation:
3.2 Factoring 2x2 + 7x + 3
The first term is, 2x2 its coefficient is 2 .
The middle term is, +7x its coefficient is 7 .
The last term, "the constant", is +3
Step-1 : Multiply the coefficient of the first term by the constant 2 • 3 = 6
Step-2 : Find two factors of 6 whose sum equals the coefficient of the middle term, which is 7 .
-6 + -1 = -7
-3 + -2 = -5
-2 + -3 = -5
-1 + -6 = -7
1 + 6 = 7 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 1 and 6
2x2 + 1x + 6x + 3
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (2x+1)
Add up the last 2 terms, pulling out common factors :
3 • (2x+1)
Step-5 : Add up the four terms of step 4 :
(x+3) • (2x+1)
Which is the desired factorization
Answer:
228
Step-by-step explanation:
[Formulas Below]
Surface area means the sum of all the shapes on the figure, which means we have to calculate each area of the shapes on the triangular right prism and add them up. To calculate the triangles, we plug in 6 and 5 and get 15. Since there are 2 triangles, we multiply it by 2. Next, we have to find the areas of the rectangles. 11 * 6.5 = 71.5 (There are two of them so you multiply by 2), and 11 * 5 = 55. Finally, we add all of these up. 15 * 2 + 71.5 * 2 + 55 = 30 + 55 + 143 = 228. The surface area is <u><em>228</em></u>.
<u><em>Area of Triangle = (Length * Height)/2</em></u>
<u><em /></u>
<u><em>Area of Rectangle = Length * Width</em></u>
9514 1404 393
Answer:
36
Step-by-step explanation:
Let the digits of the number be represented by t for the tens digit and u for the units digit.
u = 2t . . . . . . . . the units digit is twice the tens digit
2(10t +u) = (10u +t) +9 . . . . . double the number is 9 more than its reverse
Substituting for u, we have ...
2(10t +2t) = 10(2t) +t +9
24t = 21t +9 . . . . . . . . . . . collect terms
3t = 9 . . . . . . . . . . . . . subtract 21t
t = 3 . . . . . . . . . . . divide by 3
u = 2t = 6 . . . . find u
The number is 36.
Answer:
25 pounds
Step-by-step explanation:
you have to divide 175 by 7.
