All categories

3 years ago

What is the value of x?

Mathematics

2 answers:

olga2289 [7]3 years ago

7 0

Answer:

98 degrees

Step-by-step explanation:

first find angle G

53 + 45 + G = 180

subtract 45 and 53 from both sides

G = 82

angle g is supplementary (add up to 180) to x

x +82 = 180

subtract 82 from both sides

x = 98

dsp733 years ago

6 0

Answer:

x = 98°

Step-by-step explanation:

There are 180° in a triangle, and 180° on a line.

180° - 53° - 45° = 82°

180° - 82° = 98°

You might be interested in

A motorboat maintained a constant speed of 15 miles per hour related to water going 44 miles upstream then returning the total t

yanalaym [24]

The speed of the current is 13 mph

<h3>What is speed?</h3>

speed refers to distance travelled per unit time. This is a vector quantity this implies that it has magnitude and direction.

The unit for speed as used here is miles per hour and can be written in short form as mph

<u>Given data</u>

speed of boat = 15 miles per hour = 15 mph

distance = 44 miles upstream

total time for the trip = 7.5 hours

<h3>solving for the speed of the current</h3>

let the water current be x

speed = distance / time

the total travel time upstream and downstream is known

for upstream

15 - x = 44 / time

time = 44 / 15 - x

for downstream

15 + x = 44 / time

time = 44 / 15 + x

total time = time for upstream + time for downstream = 7.5

7.5 = (44 / 15 - x ) + ( 44 / 15 + x )

7.5 = ( 44 ( 15 + x ) + 44 ( 15 - x ) ) / ( 15 + x )( 15 - x )

7.5 ( 15 + x )( 15 - x ) = 210 +44x + 210 - 44x

7.5 ( 225 - x ^ 2 ) = 420

( 225 - x ^ 2 ) = 56

169 = x ^ 2

x = sqrt ( 169 )

x = 13 miles per hour

hence speed of current is 13 miles per hour

Read more on speed here: brainly.com/question/4931057

#SPJ1

3 0

1 year ago

2<br> 8<br> 15<br> 8. An interior designer charges customers<br> an initial consultation fee plus an hourly rate.<br> The table

Wewaii [24]

The rate of change is $55 per hour. The means that the hourly rate of the designer is $55 per hour

<h3>Linear equation</h3>

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line and m is the y intercept.

Let y represent the total cost of hiring for x hours. Hence:

Using the points (0, 125) and (15, 950)

$Slope = \frac{y_2-y_1}{x_2-x_1} =\frac{950-125}{15-0} =55$

The rate of change is $55 per hour. The means that the hourly rate of the designer is $55 per hour

Find out more on linear equation at: brainly.com/question/14323743

7 0

2 years ago

What is 10 inches to 1 yard for ratios

Lostsunrise [7]

Answer:

the answer is 10:1

Step-by-step explanation:

i hope it helps

7 0

3 years ago

Which of the following expressions is equivalent to 20 + 30x?

Nostrana [21]

You have to get X all by itself so you divide 20 and 30 which gives you a fraction. X= 20/30
Then = 2/3

4 0

2 years ago

Is 1.73205 rational?

Assoli18 [71]

Answer:

No, it is not.

Step-by-step explanation:

It can not be turned into a fraction and isn't repeating with the same number.

6 0

3 years ago