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laila [671]
3 years ago
8

Angle x and angle y are complementary. Angle x is supplementary to a 128 degree angle. What are the measures of angle x and angl

e y?
Mathematics
1 answer:
alexdok [17]3 years ago
5 0

The measurement of angle x is 52° and y is 38°

Step-by-step explanation:

Let us define supplementary and complementary angles first.

Supplementary angles is pair of angles whose sum is 180°

While complementary angles sum up to 90°

Given

That x and y are complementary and x is supplementary to 128.

This means that sum of x and 128 is 180°

So,

x+128 = 180\\x = 180-128\\x = 52

So,

x = 52°

It is also given that x and y are complementary which means that

x+y = 90\\52+y = 90\\y = 90-52\\y = 38

Hence,

The measurement of angle x is 52° and y is 38°

Keywords: Supplementary angles, complementary angles

Learn more about angles at:

  • brainly.com/question/3799248
  • brainly.com/question/3950386

#LearnwithBrainly

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Danielle earns $36.80 for 4 hours of yardwork. MacKenzie earns $50.40 for 6 hours of yardwork. Who earns more money per hour? HI
Elden [556K]

Answer:

Danielle earns more in  1 hours and  $0.80 more than MacKenzie

Step-by-step explanation:

Given : Danielle earns $36.80 for 4 hours of yardwork. MacKenzie earns $50.40 for 6 hours of yardwork.

To find : Who earns more money per hour? How much more

Solution : We have given

Danielle earns in  4 hours = $36.80 .

Danielle earns in  1 hours = .

Danielle earns in  1 hours = $9.20 .

MacKenzie earns in 6 hours = $50.40

MacKenzie earns in 1 hours = .

MacKenzie earns in 1 hours = $8.40.

We can see Danielle earns more in  1 hours .

How much = $9.20 - $8.40.

= $0.80.

Therefore,  Danielle earns more in  1 hours and  $0.80 more than MacKenzie

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Lisa buys a television for $4185. if the sales tax is $292.95. what percent is sales tax?
Romashka-Z-Leto [24]

Answer:

Sales tax = 7%.

Step-by-step explanation:

Let x be the percent of sales tax.

We have been given that Lisa buys a television for $4185. The sales tax is $292.95.

We need to figure out x such that x percent of 4185 equals to 292.95. Let us represent this information in an equation.

\frac{x}{100}*4185=292.95

Let us multiply both sides of equation by 100.

100*\frac{x}{100}*4185=100*292.95

x*4185=29295

x=\frac{29295}{4185}

x=7

Therefore, sales tax is 7%.

Let us cross check our answer by calculating 7% of 4185.

7\%\text{ of } 4185=\frac{7}{100}\times 4185

7\%\text{ of } 4185=0.07\times 4185

7\%\text{ of } 4185=292.95

We can see that 7% of 4185 is 292.95. Hence, sales tax is 7%.

5 0
3 years ago
a model sailboat like the one shown below was built using a scale of 1cm = 12ft. if the actual length of the boat is 84ft, how l
kaheart [24]

For every 12 foot of boat you have 1 cm on the model.

So the length of the model = 84 / 12 = 7 cms  Answer

4 0
3 years ago
what is the measure of the vertex angle of an isosceles triangle if one of its base angles measures 48 degrees?
Vladimir79 [104]
180-2\cdot48=180-96=84
7 0
3 years ago
Determine the distance between point (x1, y1) and point (x2, y2), and assign the result to point distance. the calculation is: d
Ronch [10]

we are given two points as

(1.0, 2.0) and (1.0, 5.0)

so,

(x1, y1)= (1.0 , 2.0)

(x2, y2)= (1.0 , 5.0)

x1=1 , y1=2

x2=1 , y2=5

now, we can use distance formula

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

now, we can plug values

and we get

d=\sqrt{(1-1)^2+(5-2)^2}

d=\sqrt{(0)^2+(3)^2}

d=\sqrt{(3)^2}

d=3

so, distance between points is 3...........Answer

5 0
3 years ago
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