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Slav-nsk [51]
3 years ago
8

The exterior angles of triangle UVW are X, Y, and Z, and they are adjacent to U, V, and W, respectively. If mV is 91°, and mZ is

120°, what is mU?
Mathematics
1 answer:
makvit [3.9K]3 years ago
5 0
The measure of angle U is 29 degrees. Triangles have general properties which include, all interior angles add up to 180 degrees, all exterior angles add up to 360 degrees and adjacent interior and exterior angles add up to 180 degrees. In the given, exterior angle Z is 120, while its adjacent interior angle is unknown. To get W, subtract 120 from 180 degrees. The value of W is 60. With 2 known interior angles, subtract 60 and 91 from 180 to get the measure of angle U.
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Classify the number as rational or irrational: 4.126532
Oksana_A [137]

That's the ratio of 4,126,532 to 1,000,000 so it's rational.

Here's a little factoid that I never see mentioned anywhere, but I think it can be really helpful to know:

==> Any number that you can WRITE DOWN COMPLETELY using digits (plus a decimal point or a fraction bar if you need them) is a rational number.

If " 4.126532 " is the whole thing, you sure nuff wrote it down, so it's rational.

4 0
3 years ago
You have 3 online accounts in three different banks valued at: bank "A" = $250.67, 12% interest, bank "B" $765.13, 7% interest,
gregori [183]

Answer:

\$882.89

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

Bank A

t=1\ years\\ P=\$250.67\\r=12\%=12/100=0.12

substitute in the formula above

I=250.67(0.12*1)=\$30.08

Bank B

t=1\ years\\ P=\$765.13\\r=7\%=7/100=0.07

substitute in the formula above

I=765.13(0.07*1)=\$53.56

Bank C

t=1\ years\\ P=\$28,500.36\\r=9\%=9/100=0.09

substitute in the formula above

I=28,500.36(0.09*1)=\$2,565.03

Find the average interest gained from the three accounts in one year

[\$30.08+\$53.56+\$2,565.03]/3=\$882.89

3 0
3 years ago
Which of the following scores has the better relative position ( as measured by the z score) a. A score of 53 on a test for whic
Kisachek [45]

Answer:

d. Cannot be determined with the information provided.

Step-by-step explanation:

Z-score:

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Finding the better relative position:

The score with the better relative position is the one with a higher z-score.

To find the z-score, the mean and the standard deviation is needed, and in this question, the standard deviation is not given, and thus, the correct answer is given by option d.

3 0
3 years ago
Show that 5 2/3 - 3 4/5 = 1 13/15
topjm [15]

Answer:

True both are 28/15

Step-by-step explanation:

Simplify the following:

5 + 2/3 - (3 + 4/5)

Put 3 + 4/5 over the common denominator 5. 3 + 4/5 = (5×3)/5 + 4/5:

5 + 2/3 - (5×3)/5 + 4/5

5×3 = 15:

5 + 2/3 - (15/5 + 4/5)

15/5 + 4/5 = (15 + 4)/5:

5 + 2/3 - (15 + 4)/5

15 + 4 = 19:

5 + 2/3 - 19/5

Put 5 + 2/3 - 19/5 over the common denominator 15. 5 + 2/3 - 19/5 = (15×5)/15 + (5×2)/15 + (3 (-19))/15:

(15×5)/15 + (5×2)/15 + (3 (-19))/15

15×5 = 75:

75/15 + (5×2)/15 + (3 (-19))/15

5×2 = 10:

75/15 + 10/15 + (3 (-19))/15

3 (-19) = -57:

75/15 + 10/15 + (-57)/15

75/15 + 10/15 - 57/15 = (75 + 10 - 57)/15:

(75 + 10 - 57)/15

| 7 | 5

+ | 1 | 0

| 8 | 5:

(85 - 57)/15

| 7 | 15

| 8 | 5

- | 5 | 7

| 2 | 8:

Answer: 28/15

______________________________________

Simplify the following:

1 + 13/15

Put 1 + 13/15 over the common denominator 15. 1 + 13/15 = 15/15 + 13/15:

15/15 + 13/15

15/15 + 13/15 = (15 + 13)/15:

(15 + 13)/15

| 1 | 5

+ | 1 | 3

| 2 | 8:

Answer: 28/15

3 0
3 years ago
How many square inches does an "11x13" area encompass
Juliette [100K]
143 square inches         <span> </span>
3 0
3 years ago
Read 2 more answers
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