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Serhud [2]
3 years ago
7

Two angles form a linear pair. the measure of one angle is 26∘26∘ greater than the measure of the other angle. find the measure

of each angle.
Mathematics
1 answer:
Tpy6a [65]3 years ago
6 0

A linear pair means that the sum of the angles is 180 degrees.

Therefore:

a + b = 180°

 

We know that:

a = b + 26°

 

Therefore:

b + 26 + b = 180

2b = 154

b = 77°

 

So,

a = b + 26 = 103<span>°</span>

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Find an equivalent ratio in simplest terms: 25:75
Sati [7]

Answer:

1:3

Step-by-step explanation:

Both numbers are divisible by 25:

  • 25 ÷ 25 = 1
  • 75 ÷ 25 = 3

∴ The simplified ratio is 1:3

Hope this helps!

5 0
2 years ago
A rectangle is to be inscribed in an isosceles right triangle in such a way that one vertex of the rectangle is the intersection
svet-max [94.6K]

Answer:

x  =  2  cm

y  = 2  cm

A(max) =  4 cm²

Step-by-step explanation: See Annex

The right isosceles triangle has two 45° angles and the right angle.

tan 45°  =  1  =  x / 4 - y        or     x  =  4  -  y     y  =  4  -  x

A(r)  =  x* y

Area of the rectangle as a function of x

A(x)  =  x  *  (  4  -  x )       A(x)  =  4*x  -  x²

Tacking derivatives on both sides of the equation:

A´(x)  =  4 - 2*x             A´(x)  =  0            4   -  2*x  =  0

2*x  =  4

x  =  2  cm

And  y  =  4  - 2  =  2  cm

The rectangle of maximum area result to be a square of side 2 cm

A(max)  = 2*2  =  4 cm²

To find out if A(x) has a maximum in the point  x  =  2

We get the second derivative

A´´(x)  =  -2           A´´(x)  <  0   then A(x) has a maximum at  x = 2

5 0
2 years ago
Two lines that have the same slope do not intersect at any points ​
Crazy boy [7]

if you are looking for the solution then is <em>Infinitely many solutions</em>

4 0
2 years ago
What is the length of a rectangle with an area of 48 yd squared, and a width of 3 yd
Leona [35]
The length of the rectangle is 16.
7 0
3 years ago
Read 2 more answers
The credit remaining on a phone card (in dollors) is a linear function of the total calling trime made with the card ( in minute
KATRIN_1 [288]

After 85 minutes of calls, there are $27.25 left on the card.

<h3>What is the remaining credit after 85 minutes of calls?</h3>

A linear equation in slope-intercept form is:

y = a*x + b

Where a is the slope.

If the line passes through two points (x₁, y₁) and (x₂, y₂) the slope is:

a = \frac{y_2 - y_1}{x_2 - x_1}

In this case, we know that the line passes through the points (22, 36.7) and (52, 32,20)

(points of the form (time, dollars)).

So the slope is:

a = \frac{32.2 - 36.7}{52 -22} = -0.15

The linear equation is then:

y = -0.15*x + b

To find the value of b, we use the point (22. 36.7)

36.7 = -0.15*22 + b

36.7 + 0.15*22 = b = 40

Then the linear equation is:

y = -0.15*x +40

The amount remaining in the credit card after 85 minutes is given by evaluating the above equation in x = 85.

y = -0.15*85 + 40 = 27.25

This means that after 85 minutes of calls, there are $27.25 left on the card.

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

7 0
1 year ago
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