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iragen [17]
2 years ago
10

If m<9=130°, what is m<4?

Mathematics
1 answer:
nikklg [1K]2 years ago
3 0

From the diagram provided, the two lines that are left and right of each other are parallel and are cut by a transversal. That means,

\begin{gathered} \angle9=\angle5\text{ (corresponding angles are equal)} \\ \text{Similarly,} \\ \angle8=\angle4\text{ (corresponding angles are equal)} \end{gathered}

If angle 9 equals 130, then angle 8 equals,

\begin{gathered} 130+\angle8=180\text{ (angles on a straight line sum up to 180)} \\ \angle8=180-130 \\ \angle8=50 \end{gathered}

If angle 8 equals angle 4, then angle 4 equals 50 degrees

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Elena receives ​$131 per year in simple interest from three investments totaling ​$3000. Part is invested at​ 3%, part at​ 4% an
ioda

Answer:

Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%.

Step-by-step explanation:

Given that Elena receives $ 131 per year in simple interest from three investments totaling $ 3000, and part is invested at 3%, part at 4% and part at 5%, and there is $ 1000 more invested at 5% than at 4%, to find the amount invested at each rate, the following calculations must be performed:

1500 x 0.05 + 500 x 0.04 + 1000 x 0.03 = 75 + 20 + 30 = 125

1600 x 0.05 + 600 x 0.04 + 800 x 0.03 = 80 + 24 + 24 = 128

1700 x 0.05 + 700 x 0.04 + 600 x 0.03 = 85 + 28 + 18 = 131

Therefore, Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%

7 0
3 years ago
Sam reads 30 pages of a book in 40 minutes. Which statement identifies a person with the same reading rate as Sam?
zavuch27 [327]

Answer:

Choice 3

Step-by-step explanation:

The reading rate of Sam is 0.75 pages/minute.

i.e 30 pages/40 minutes

The reading rate of Bill is 0.5 pages/minute

The reading rate of Francine is 0.72 pages/minute

The reading rate of Leroy is 0.75 pages/minute which is the same as Sam's.

7 0
3 years ago
Lucia is not yet 80 years old. each of her sons has as many sons as brothers. the combined number of lucias sons and grandsons e
Ne4ueva [31]
Not enough Information. I could say 50 and it would work. I could say 68 and it would work. Any even number thats under 80 but higher than what you think her eldest son is.
7 0
3 years ago
Heeellllppp~ I beg you, I'm crying~ because I have been waiting for a long time now and I have asked this question multiple time
sp2606 [1]

Answer:

5969593829191937373

Step-by-step explanation:

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6 0
3 years ago
Janet borrowed $5,500 from the bank at an interest rate of 7.5% for one year Assuming she pays it back on time how much interest
Dominik [7]
$5912.50. To work out one percent of 5500 you divide it by 100 which makes 55. You then times that by 7.5 which makes 412.50. Add that onto 5500 and you get the answer.
3 0
3 years ago
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