Answer:
19
Step-by-step explanation:
When 2 chords intersect then the product of the parts of one chord equal the product of the parts of the other chord, that is
12(x - 7) = 4(x + 3) ← distribute parenthesis on both sides
12x - 84 = 4x + 12 ( subtract 4x from both sides )_
8x - 84 = 12 ( add 84 to both sides )
8x = 96 ( divide both sides by 8 )
x = 12
Thus
12 + x - 7 = 12 + 12 - 7 = 17
4 + x + 3 = 4 + 12 + 3 = 19 ← longer chord
Answer: Im not sure but i think its 120,960
Step-by-step explanation: i know that there is 2 of the 6-month periods in a year and multiplied that by 8 and got 16. Then i did 7000x.08=560 and then i added that to 7000 and got 7560. FInally i multiplied that by 16 and got 120,960.
Answer:
m∠1=114
m∠2=66
Step-by-step explanation:
First, let's find the m∠2
∠2 is inside a triangle, and the angles in a triangle must add to 180 degrees.
So,
55+59+∠2=180
Add 55 and 59
114+∠2=180
We are trying to find ∠2, so we have to get it by itself.
114 is being added on to ∠2. To undo this, subtract 114 from both sides.
114-114+∠2=180-114
∠2=66
Now we know the m∠2, but we still have to find m∠1.
∠2 and ∠1 are on a straight line. This means they are supplementary angles and add to 180 degrees.
∠1+∠2=180
We know that ∠2 is 66, so we can substitute it in.
∠1+66=180
66 is being added onto ∠1. To undo this, subtract 66 from both sides.
∠1+66-66=180-66
∠1=114
Answer:
1.2×1.3=1.56
Step-by-step explanation:
1.2 ×1.3=1.56
Answer: 40,000
Step-by-step explanation:
Their sum is (1+399) + (3+397) + (5+395) + … + (199+201) = 100 x 400= 40000