All categories

3 years ago

(write and solve an algebraic equation to find the measure of each angle based on the given description.)

Mathematics

1 answer:

Semenov [28]3 years ago

6 0

Answer:

The angles are 78° and 102°.

Step-by-step explanation:

Let the one angle is y and the other number if y + 24.

The sum of the angles of the linear pair is 180°.

So, according to the question

y + y + 24 = 180

2 y = 180 - 24

2 y = 156

y = 78°

So, one angle is 78° and the other is 78° + 24° = 102°.

You might be interested in

What is the ratio for the surface areas of the rectangular prisms shown below, given that they are similar and that the ratio of

lisov135 [29]

Answer:

B. 64:25

Step-by-step explanation:

the ratio of the surface areas =

(8)² : (5)² = 64 : 25

5 0

3 years ago

What is the range of function in this table?

Alik [6]

Answer:

Range{ 2,3,4}

Step-by-step explanation:

The range is the output of the function, in the case the y values

Range{ 2,3,4}

5 0

3 years ago

(sin Θ − cos Θ)^2 − (sin Θ + cos Θ)^2

Andru [333]

More generally, we have

$(a-b)^2-(a+b)^2=(a^2-2ab+b^2)-(a^2+2ab+b^2)=-4ab$

so that

$(\sin\theta-\cos\theta)^2-(\sin\theta+\cos\theta)^2=-4\sin\theta\cos\theta=-2\sin2\theta$

7 0

3 years ago

Doi cocosi cantaresc tot atat cat 3 gaini. Opt cocosi si 9 gaini cantaresc 42 kg. Cat cantareste un cocos si cat cantareste o ga

ss7ja [257]

Answer:

The weight of one rooster is 3 Kg and the weight of one hen is 2 Kg

Step-by-step explanation:

<u><em>The question in English is</em></u>

Two roosters weigh as much as 3 chickens. Eight roosters and 9 hens weigh 42 kg. How much does a rooster weigh and how much does a hen weigh, knowing that all roosters have the same weight, respectively the hens weigh the same.

Let

x ----> the weight of one rooster in kilograms

y ----> the weight of one hen in kilograms

we know that

$8x+9y=42$ ------> equation A

$2x=3y$ ----> equation B

Solve the system by graphing

Remember that

The solution of the system of equations is the intersection point both graphs

The solution is the point (3,2)

see the attached figure

therefore

The weight of one rooster is 3 Kg and the weight of one hen is 2 Kg

8 0

4 years ago

Solve the proportion. 2/8 = -30/x

tino4ka555 [31]

To solve a proportion set it up like
$\frac{2}{8} = -\frac{30}{x}$

Now cross multiply the -30 and the 8 so -30 x 8 = -240
Now take the -240 and divide it by 2
$\frac{-240}{2} = -120$
So x = -120

Answer = 120

5 0

3 years ago