Answer:
Side 1 = 8, side 2=6, side 3=3 1/3 or 10/3
Step-by-step explanation:
We can set up a proportion comparing the sides of the original triangle to the new triangle.
The original triangle has sides 12, 9, and 5. The new triangle has sides 8, e, and f (use whatever letters you like, it doesn't matter, but for me, e is the side with the middle length and f is the side with the shortest length.
We can write 3 ratios, with the length of the new triangle over the length of the old triangle.
8/12 e/9 f/5
To figure out e and f, put each ratio equal to 8/12.
<u>8 </u> = <u>e</u> Then multiply both sides of the equation by 9 and get <u>72 </u> = e, 6=e.
12 9 12
<u>8 </u> = <u>f </u> Then multiply both sides of the equation by 9 and get <u>40 </u> = f, <u>10</u>=f.
12 5 12 3
10/3 can be rewritten as 3 1/3.
Answer:
4. -2s^9
7. 8b^10
Step-by-step explanation:
First, focus on the number part of the expression. For 4), multiply -2 x -1 x -1 = -2. Then, look at the exponents. When you're multiplying exponents with the same base (in number 4, the base is s), you can add the exponents.
2+3+4 = 9; which makes it s^9. Multiply -2 x s^9, which gives you -2s^9.
Same thing for 7). Multiply all the numbers first. this gives you 8. (Remember two negatives equals a positive). Add all of the exponents of b together, which gives you 10. (when a variable has no exponent, it means that the exponent is 1.) Multiplying 8 and b^10 should give you 8b^10.
It may help to brush up on exponent rules and sign rules.
Answer:
f=1 1/4
Step-by-step explanation:
Answer:
120°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 6, hence
sum = 180° × 4 = 720°, thus
angle measure = 720° ÷ 6 = 120°
