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2 years ago

The given value below figure find the value of x

Mathematics

1 answer:

tino4ka555 [31]2 years ago

6 0

Answer:

Step-by-step explanation:

We know:

The sum of the quadrilateral angles measures 360°.

Therefore we have the equation:

$30^o+39^o+48^o+m\angle D=360^o\qquad(1)$

The sum of angles x and D is equal to 360°. Therefore we have the other equation:

$x+m\angle D=360^o\qquad(2)$

From (1) and (2) we have:

$x+m\angle D=30^o+39^o+48^o+m\angle D\qquad\text{subtract}\ m\angle D\ \text{from both sides}\\\\x=30^o+39^o+48^o\\\\x=117^o$

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Solve the equation: sin(2x)= sin x

Anna [14]

Answer:

Below

Step-by-step explanation:

sin(2x) = 2 ×cos(x)× sin(x)

● sin(x) = 2 × cos(x) × sin(x)

● 2 × cos(x) = 1

● cos (x) = 1/2

So we can deduce that:

● x = Pi/3 + 2*k*Pi

● or x = -Pi/3 + 2*k*Pi

K is an integer

3 0

2 years ago

A pet store has 150 goldfish and betta fish altogether. The ratio of goldfish to betta fish is 2:3. How many goldfish does the p

Kipish [7]

The number of goldfish in the pet store is equal to 60 fishes.

Let the goldfish be G.

Let the betta fish be B.

<u>Given the following data:</u>

Total number of fishes = 150 fishes.

Ratio of G to B = 2:3

Total ratio= 2 + 3 = 5

To calculate the number of goldfish that the pet store have:

<h3>What is ratio?</h3>

Ratio can be defined as an expression that is used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.

Mathematically, the number of goldfish in the pet store is given by this expression:

$G = \frac{2}{5} \times 150\\\\G=0.4 \times 150$

G = 60 fishes.

Read more on ratio here: brainly.com/question/13513438

6 0

2 years ago

Read 2 more answers

URGENT!! I REALLY NEED HELP

Ivenika [448]

Answer

D is the answer

Step-by-step explanation:

as I can see in the screen shot you don't need explanation lol

4 0

2 years ago

Right triangle ABC is similar to right triangle DEF. If the side lengths for triangle ABC are 15, 20, 25, respectively, which va

solniwko [45]

Answer:

$A = 15$ $B = 20$ $C = 25$

$D = 30$ $E = 40$ $F = 50$

$D = 3$ $E = 4$ $F = 5$

Step-by-step explanation:

Given

Similar Triangles: ABC and DEF

$A = 15$

$B = 20$

$C = 25$

Required

Determine the sides of DEF

No options were given, so I will solve on a general terms.

Since both triangles are similar, then the following relationship exists.

DEF = ABC * n

i.e.

$D = A * n$ $E = B * n$ $F = C * n$

Where

$n = Scale\ Factor$

Assume n = 2.

So, we have:

$D = A * n$

$D =15 *2$

$D = 30$

$E = B * n$

$E = 20 * 2$

$E = 40$

$F = C * n$

$F = 25 * 2$

$F = 50$

Assume $n = \frac{1}{5}.$

So, we have:

$D = A * n$

$D =15 *\frac{1}{5}$

$D = 3$

$E = B * n$

$E = 20 * \frac{1}{5}$

$E = 4$

$F = C * n$

$F = 25 * \frac{1}{5}$

$F = 5$

So, the possible sides are:

$A = 15$ $B = 20$ $C = 25$

$D = 30$ $E = 40$ $F = 50$

$D = 3$ $E = 4$ $F = 5$

6 0

2 years ago

A cheetah runs at a speed of 56 miles for every hour. If the distance traveled, in miles, is d and time, in hours, is t, which e

Butoxors [25]

D=56t because if t is hrs then u would multiply 56 and t to find the miles per hour

6 0

3 years ago