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3 years ago

The angles below are supplementary. What is the value of x?

Mathematics

2 answers:

Citrus2011 [14]3 years ago

8 0

Answer:

11°

Step-by-step explanation:

Since (7x + 33°) and 70° are supplementary angles.

Hence,

7x + 33° + 70° = 180°

7x + 103° = 180°

7x = 180° - 103°

7x = 77°

x = 77°/7

x = 11°

Airida [17]3 years ago

3 0

Answer:

$\boxed{x=11}$

Step-by-step explanation:

In order to solve this equation, we need to know that both values add up to make a supplementary angle, or a 180° angle. Therefore, adding the values and setting them equal to 180 will solve for x.

$7x + 33 + 70 = 180$ Add like terms to simplify the equation.

$7x + 103 = 180$ Subtract 103 from both sides of the equation.

$7x = 77$ Divide by 7 on both sides of the equation to isolate the variable.

$\boxed{x=11}$

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A bank sends its customers an email when their accounts fall below —$1. Which inequality models this situation?

Semenov [28]

Answer:

a bank sends its customers an email iff a<1

Step-by-step explanation:

Let a=account

So, a<1

Therefore, a bank sends its customers an email iff a<1

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3 years ago

A tourist boat is used for sightseeing in a nearby river. The boat travels 2.4 miles downstream and in the same amount of time,

topjm [15]

Answer: the current of the river is 3 mph.

Step-by-step explanation:

Let x represent the current of the river.

The boat travels 2.4 miles downstream. Assuming it travelled with the current of the river. If the boat travels at an average speed of 21 miles per hour in the still water, it means that the total speed at which the boat travelled downstream is

(21 + x) mph

Time = distance/speed

Time taken to travel downstream is

2.4/(21 + x)

it travels 1.8 miles upstream. Assuming it travelled against the current of the river. it means that the total speed at which the boat travelled upstream is

(21 - x) mph

Time taken to travel upstream is

1.8/(21 - x)

Since the time taken to travel upstream and downstream is the same, then

2.4/(21 + x) = 1.8/(21 - x)

Cross multiplying, it becomes

2.4(21 - x) = 1.8(21 + x)

50.4 - 2.4x = 37.8 + 1.8x

2.4x + 1.8x = 50.4 - 37.8

4.2x = 12.6

x = 12.6/4.2

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7 0

3 years ago

Read 2 more answers

Help Please I dont know

dybincka [34]

Answer:

$y=2x$

Step-by-step explanation:

Here we are given that for every 2 cups of water , Jada is mixing up 4 cups of Apple Juice. Hence it makes a patter which look like this as given under in a tabular format

x y

2 4

6 12

10 20

We are required to find the equation of the relation that exit between this pattern. Assuming them to be the coordinates , we will apply the two point form and find the equation.

Two point form is

$\frac{y-y_1}{x-x_1}=\frac{y_2-y_1}{x_2-x_1}$ -----------------(A)

Where

$(x_1,y_1)=(2,4)$

$(x_2,y_2)=(6,12)$

Putting these values in A and solving

$\frac{y-4}{x-2}=\frac{12-4}{6-2}$

$\frac{y-4}{x-2}=\frac{8}{4}$

$\frac{y-4}{x-2}=2$

$y-4=2(x-2)$

$y-4=2x-4$

adding 4 on both sides

$y=2x$

4 0

3 years ago

What is the base of a triangle whose height is 10 and whose area is 160

tia_tia [17]

B x h = triangle area
triangle area= 160
height= 10
b x 10 (divide it by) 2= b
160 x 2 (divide it by) 10= b
32= b
the height of the this triangle is 32

5 0

4 years ago

What is 2 multiplied by 4

VLD [36.1K]

Answer:

Step-by-step explanation:

7 0

3 years ago