All categories

3 years ago

39an angle measures 76° less than the measure of a complementary angle. what is the measure of each angle?

Mathematics

1 answer:

torisob [31]3 years ago

7 0

Answer:

14 ° and 76 °

Step-by-step explanation:

We have that two angles are complementary, if the sum of their amplitudes is 90 °.

The complementary angles need not be consecutive or have any point in common.

Alpha and Beta are complementary if:

Alpha + Beta = 90 °

In this case it would be:

X - 76 ° = 90 °

X = 90 ° - 76 °

X = 14 °

Which means that each angle measures 14 ° and 76 °

You might be interested in

Write the equation in y=mx+b form please????

Solnce55 [7]

ANSWER

$y = - 2x - 5$

EXPLANATION

We can use any two points to determine the slope.

The line passes through;

(-3,1) and (-5,5).

The slope is given by

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

This implies that;

$m = \frac{5 - 1}{ - 5 - - 3}$

$m = \frac{4}{ - 2} = - 2$

We can now find the equation using the formula;

$y-y_1=m(x-x_1)$

$y - 1 = - 2(x + 3)$

Expand:

$y = - 2x -6 + 1$

$y = - 2x - 5$

6 0

3 years ago

Enter an equation for the function that includes the points.Give your answer in a(b)x. In the event that a=1 , give your answer

Andrews [41]

Answer:

$f(x) = \frac{24}{25} * \frac{5}{6}^x$

Step-by-step explanation:

Given

$(x_1,y_1) = (2,\frac{2}{3})$

$(x_2,y_2) = (3,\frac{5}{9})$

Required

Write the equation of the function $f(x) = ab^x$

Express the function as:

$y = ab^x$

In: $(x_1,y_1) = (2,\frac{2}{3})$

$y = ab^x$

$\frac{2}{3} = a * b^2$ --- (1)

In $(x_2,y_2) = (3,\frac{5}{9})$

$y = ab^x$

$\frac{5}{9} = a * b^3$ --- (2)

Divide (2) by (1)

$\frac{5}{9}/\frac{2}{3} = \frac{a*b^3}{a*b^2}$

$\frac{5}{9}/\frac{2}{3} = b$

$\frac{5}{9}*\frac{3}{2} = b$

$\frac{5}{3}*\frac{1}{2} = b$

$\frac{5}{6} = b$

$b = \frac{5}{6}$

Substitute 5/6 for b in (1)

$\frac{2}{3} = a * b^2$

$\frac{2}{3} = a * \frac{5}{6}^2$

$\frac{2}{3} = a * \frac{25}{36}$

$a = \frac{2}{3} * \frac{36}{25}$

$a = \frac{2}{1} * \frac{12}{25}$

$a = \frac{24}{25}$

The function: $f(x) = ab^x$

$f(x) = \frac{24}{25} * \frac{5}{6}^x$

7 0

3 years ago

Determine the area of a triangle having the following measurements. Round your answer to two decimal places.

Svetllana [295]

Area of a triangle= 1/2 (ab) (sin C)
= 1/2 (9 x 11.5) (sin 63.4)
= 46.27

3 0

3 years ago

Solve both by elimination can someone help?<br> 2x-5y=-9 , 4x+5y=12<br><br> 3x-2y=12 , 7x-5y=17

lyudmila [28]

Answer:

x=1/2, y=2;

Step-by-step explanation:

First pair:

2x-5y =-9

4x+5y=12

Add them together:

6x=3

x = 1/2

2(1/2) - 5y =-9

1-5y = -9

1+9=5y

y=10/5=2

8 0

2 years ago

Which container holds more, a Elgin millimeter carton, or a 1 L bottle

anyanavicka [17]

The answer would be a 1 Liter bottle, because a liter is 33 oz rounded and and Elgin millimeter container is 25 oz.

7 0

4 years ago