Ask question

Ask question

All categories

3 years ago

6

Recall that two angles are complementary if the sum of their measures is 90°. Find the measures of two complementary angles if

one angle is twenty dash nine times the other angle.

1 answer:

boyakko [2]3 years ago

6 0

Answer:

Therefore,

The measures of two complementary angles are 3° and 87°.

Step-by-step explanation:

Given:

Let one angle measure of a Complementary angles be "x".

Then according to the given condition:

Measure of other angle will be 29 times "x" , let y = 29x.

To Find:

The measures of two complementary angles = ?

Solution:

Complementary Angles:

Two angles are Complementary when they add up to 90 degrees.

Example 40° and 50° are Complementary Angles.

If 'x' and 'y' are Complementary Angles the we have

$x+y=90\°$

Substituting the values we get

$x+29x=90\\30x=90\\\\x=\dfrac{90}{30}=3$

Substituting x in y we get

$y = 29x = 29\times 3=87\°$

Therefore,

The measures of two complementary angles are 3° and 87°.

You might be interested in

Mr. Mole left his burrow and started digging his way down at a constant rate. Time (minutes) Altitude (meters) 666 -20.4−20.4min

Juli2301 [7.4K]

Answer:

$-6$ meters.

Step-by-step explanation:

We have been given Mr. Mole left his burrow and started digging his way down at a constant rate.

We are also given a table of data as:

Time (minutes) Altitude (meters)

6 -20.4

9 -27.6

12 -34.8

First of all, we will find Mr. Mole's digging rate using slope formula and given information as:

$m=\frac{y_2-y_1}{x_2-x_1}$ , where,

$y_2-y_1$ represents difference of two y-coordinates,

$x_2-x_1$ represents difference of two corresponding x-coordinates of y-coordinates.

Let $(6,-20.4)$ be $(x_1,y_1)$ and $(9,-27.6)$ be $(x_2,y_2)$ .

$m=\frac{-27.6-(-20.4)}{9-6}$

$m=\frac{-27.6+20.4}{3}$

$m=\frac{-7.2}{3}$

$m=-2.4$

Now, we will use slope-intercept form of equation to find altitude of Mr. Mole's burrow.

$y=mx+b$ , where,

m = Slope,

b = The initial value or the y-intercept.

Upon substituting $m=-2.4$ and coordinates of point $(6,-20.4)$ , we will get:

$-20.4=-2.4(6)+b$

$-20.4=-14.4+b$

$-20.4+14.4=-14.4+14.4+b$

$-6=b$

Since in our given case y-intercept represents the altitude of Mr. Mole's burrow, therefore, the altitude of Mr. Mole's burrow is $-6$ meters.

6 0

2 years ago

Read 2 more answers

Work out m and c for the line:<br><br>y=x-8<br><br>never mind i got it

Nonamiya [84]

Answer:

m = 1 c = -8

Step-by-step explanation:

4 0

3 years ago

What is the length of the segment with end points -3,4 and 5,4

Luda [366]

Answer:

8

Step-by-step explanation:

The distance or the length between two points can be computed using the formula:

$d = \sqrt{(X_2-X_1)^2+(Y_2-Y_1)^2}$

X₁ = x-coordinate of first point

X₂ = x-coordinate of the second point

Y₁ = y-coordinate of first point

Y₂ = y-coordinate of the second point

When we right down the coordinates of a point, we always start with the X and then the Y.

(X,Y)

You have the following coordinates or points

Point 1: (-3,4)

Point 2: (5,4)

Based on that we have the following given:

X₁ = -3

X₂ = 5

Y₁ = 4

Y₂ = 4

Now we just fill in the formula:

$d=\sqrt{(X_2-X_1)^2+(Y_2-Y_1)^2}\\\\ =\sqrt{(5-(-3))^2+(4-4)^2}\\\\ =\sqrt{8^2 + 0^2}\\\\ =\sqrt{8^2} \\\\=8$

7 0

3 years ago

Can u plzz find me a length of adjacent

timofeeve [1]

Answer:

There is no answer

My Logic:

The picture does not specify the degree of angle for each corner, nor can i understand what the random "a" is. also the side all the way to the left has an un-readable number.

6 0

2 years ago

(03.03)<br> How does the graph of f(x) = (x – 9)^4-3 compare to the parent function g(x) =x^4?

Dima020 [189]

Answer:

Step-by-step explanation:

The child graph is shifted 9 units to the right. That's what the nine does. The graph also shifts 3 units down when compared to g(x).

I have put a graph in so that you can see the shifts for yourself.

The red line is g(x) = x^4

The blue line is f(x) = (x - 9)^4 - 3

6 0

3 years ago