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zalisa [80]
3 years ago
9

Help me pleaseeeeeeeee

Mathematics
2 answers:
serg [7]3 years ago
6 0
In a triangle, the interior angles have a sum of 180 degrees. To determine the value of x, you need to first find the measure of the angle supplementary to the exterior angle.

Since the exterior angle is 129 degrees, the other angle supplementary to it would equal 51.

After you know that, add 51 + 55 = 106

180 - 106 = 74, so the measure of x is 74 degrees.
zhenek [66]3 years ago
4 0

Answer:

Angles on a straight line add up to 180 degrees so for the 129 degrees you will take 180 - 129 = 51. In the triangle you will add 51 and 55 = 106 but remember in a triangle all angles should be equal to 180. So 180 - 106 = 74. X=74degrees

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Maria read 78 pages in 3 hours. Reading at the same rate, she read 130 pages in 5 hours. Find the unit rate in pages per hour
Juliette [100K]
Your answer would be 26 pages per hour.
7 0
3 years ago
Factor 12x^-1/2 + 6x^-3/2
pogonyaev

You can "rationalize the denominator" by multiplying by x²/x². This gives ...

... = (12x^(3/2) +6x^(1/2))/x²

6 is an obvious factor of both terms, as is x^(1/2) = √x.

... = (6√x)(2x +1)/x²

7 0
3 years ago
Which linear equation has a slope of 3 and a y-intercept of -2?
Ipatiy [6.2K]

Answer:

y=3x-2

Step-by-step explanation:

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8 0
4 years ago
Read 2 more answers
From a group of 8 women and 6 men, a committee consisting of 3 men and 3 women is to be formed. How many different committees ar
murzikaleks [220]

Answer:

(a) 896

(b) 1000

(c) 910

Step-by-step explanation:

Number of women = 8

Number of men = 6

A committee consisting of 3 men and 3 women is to be formed.

(a) 2 of the men refuse to serve together.

Number of men who don't want to serve together = 2

Remaining men = 4

Total ways = Both men who don't want to serve together are not selected + only one of them is selected.

^{8}C_{3}\cdot ^{4}C_{3}+^{8}C_{3}\cdot ^{4}C_{2}\cdot ^{2}C_{1}

896

(b) 2 of the women refuse to serve together.

Number of women who don't want to serve together = 2

Remaining men = 6

Total ways = Both women who don't want to serve together are not selected + only one of them is selected.

^{6}C_{3}\cdot ^{6}C_{3}+^{6}C_{3}\cdot ^{6}C_{2}\cdot ^{2}C_{1}

1000

(c)1 man and 1 woman refuse to serve together.

Ways = Total ways - Both man and woman are select who refuse the serve together

^{8}C_{3}\cdot ^{6}C_{3}-^{5}C_{2}\cdot ^{7}C_{2}

910

6 0
4 years ago
A boat travels 45 miles upstream (against the current) in 5 hours. The boat travels the same distance downstream in 3 hours. Wha
Leona [35]
R=rate of boat in still water
c=rate of current
d=rt
since you're given that the time it takes to travel the same distance downstream and upstream, your equation will be d_1=d_2, or rt=rt
the rate upstream is r-c and the rate downstream is r+c (because the boat's and river's rates add up)
since you know t_1 and t_1 are 5 and 3, you can now set up 2 equations
<u>5*(r-c)=45</u> because (time upstream)*(rate upstream)=distance=45 miles
r-c=45/5=9
<u>3*(r+c)=45</u>
r+c=45/3=15
r-c=9 and r+c=15, so r=12 mi/h and c=3 mi/h
If you have any questions please ask
3 0
3 years ago
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