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3 years ago

A right triangle has one angle that measures 69º. What is the measure of the other acute angle?

Mathematics

1 answer:

gavmur [86]3 years ago

6 0

Answer:

21°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

subtract the sum of the 2 given angles from 180 for the other angle

other angle = 180° - (90 + 69)° = 180° - 159° = 21°

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1. Consider the system of equations below. What could be the first step in solving by elimination?

leva [86]

Answer:

Multiple the first equation by -1

Step-by-step explanation:

After doing this you add the two equations together and follow the systems of equations as normal

$-3x+-5y=-16\\3x+2y=10\\-3y=-6\\\frac{-3y}{-3} =\frac{-6}{-3} \\y=2$

Therefore y = 2

7 0

3 years ago

A hotel wants to know if there's a relationship between gender and the way customers make room reservations. A manager takes a r

padilas [110]

Answer:

Step-by-step explanation:

Here,

H_o: The way of reservation is independent of gender.

H_a: The way of reservation is not independent of gender.

We use a chi square test because we can calculate the expected frequencies for this chart.

Doing an Expected Value Chart,

33.7625 9.7125 30.525

39.2375 11.2875 35.475

Using chi^2 = Sum[(O - E)^2/E],

chi^2 = 4.482385929

With df = (a - 1)(b - 1), where a and b are the number of categories of each variable,

a = 3

b = 2

df = 2

Thus, the critical value is

significance level = 0.05

chi^2(critical) = 5.991464547

Also, the p value is

P = 0.106331579

Thus, comparing chi^2 and chi^2(critical) [or, p and significance level], we FAIL TO REJECT THE NULL HYPOTHESIS.

Thus, there is no significant evidence that the way of reservation is dependent of gender. [CONCLUSION]

6 0

3 years ago

The number of marbles of different colors stored in a hat is listed below:

Kamila [148]

There is a 1/4 chance of getting the Blue Marble out of the bag. But when it is 2 in a row you have to multiply your chances so it would be 1/4 * 1/4 or 1/16

7 0

3 years ago

Read 2 more answers

Are both 7 and -½ integers? why or why not?

Tems11 [23]

Answer:

No. (-1/2) is not an integer

Integers involve all the no. +ve and -ve. which can be written without fraction. ie whole no. are counted as integers.

(-1/2) is a fraction

4 0

2 years ago

Read 2 more answers

I do not need an explanation, just a simple angle number!

Murljashka [212]

Answer:

Step-by-step explanation:

a + 143 = 180 {Linear pair}

a = 180 - 143

a = 37

37 + 93 + b = 180 {Angle sum property of triangle}

130 + b = 180

b = 180 - 130

b = 40

c + b = 90

c + 40 = 90

c = 90 - 40

c = 50

d + 120 = 180 {Linear pair}

d = 180 - 120

d = 60

? = 60 + 40 {Exterior angle property of triangle}

? = 100

3 0

2 years ago