All categories

3 years ago

What is the value of x? pls help!! :(

Mathematics

2 answers:

Mademuasel [1]3 years ago

8 0

Answer:

x =31

Step-by-step explanation:

If you see that's a straight line, and the straight line is always 180 degrees, there fore if you use this 56+4x=180 the x will be 31.

sineoko [7]3 years ago

3 0

Answer:

x = 31

Step-by-step explanation:

angles formed on a straight line have a sum of 180°

Thus, 4x + 56 = 180

4x + 56 = 180

* subtract 56 from each side *

56 - 56 cancels out

180 - 56 = 124

4x = 124

* divide both sides by 4 *

4x / 4 = x

124 / 4 = 31

we're left with x = 31

You might be interested in

Question 2

shutvik [7]

9514 1404 393

Answer:

45°, 45°, 90°

Step-by-step explanation:

If the difference of two angles is 0°, then they are congruent, and the triangle is isosceles.

The angle measures of the isosceles right triangle are 45°, 45°, 90°.

5 0

3 years ago

Prove it. this question is from trigonometry

konstantin123 [22]

Answer:

See below for step-by-step proof.

Step-by-step explanation:

$\textsf{Given expression}:$

$\cos^6 \theta+\sin^6 \theta$

$\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:$

$\implies (\cos^2 \theta)^3+(\sin^2 \theta)^3$

$\textsf{Use the identity}\quad a^3+b^3=(a+b)^3-3ab(a+b):$

$\implies (\cos^2 \theta+\sin^2 \theta)^3-3 \cos^2 \theta\sin^2 \theta (\cos^2 \theta+\sin^2 \theta)$

$\textsf{Use the identity}\quad \sin^2 \theta + \cos^2 \theta=1:$

$\implies (1)^3-3 \cos^2 \theta\sin^2 \theta (1)$

$\implies 1-3 \cos^2 \theta\sin^2 \theta$

$\implies 1-3 (\cos \theta\sin \theta)^2$

$\textsf{Use the identity}\quad \sin 2 \theta=2 \sin \theta \cos \theta \implies \dfrac{1}{2}\sin 2 \theta= \sin \theta \cos \theta:$

$\implies 1-3 \left( \dfrac{1}{2}\sin 2 \theta\right)^2$

$\implies 1-\dfrac{3}{4} \sin^2 2 \theta$

$\textsf{Use the identity}\quad \sin^2 2\theta + \cos^2 2\theta=1 \implies \sin^2 2\theta=1-\cos^2 2\theta$

$\implies 1-\dfrac{3}{4} \left(1-\cos^2 2 \theta\right)$

$\implies 1-\dfrac{3}{4} +\dfrac{3}{4}\cos^2 2 \theta$

$\implies \dfrac{1}{4} +\dfrac{3}{4}\cos^2 2 \theta$

$\textsf{Factor out }\dfrac{1}{4}:$

$\implies \dfrac{1}{4}\left(1+3\cos^2 2 \theta\right)$

$\textsf{Use the identity}\quad \cos (4 \theta)=2 \cos^2 2\theta - 1 \implies \cos^2 2 \theta=\dfrac{1}{2}\cos 4 \theta+\dfrac{1}{2}:$

$\implies \dfrac{1}{4}\left(1+3\left(\dfrac{1}{2}\cos 4 \theta+\dfrac{1}{2}\right)\right)$

$\implies \dfrac{1}{4}\left(1+\dfrac{3}{2}\cos 4 \theta+\dfrac{3}{2}\right)$

$\implies \dfrac{1}{4}\left(\dfrac{5}{2}+\dfrac{3}{2}\cos 4 \theta\right)$

$\implies \dfrac{1}{4} \cdot \dfrac{1}{2}\left(5+3\cos 4 \theta\right)$

$\implies \dfrac{1}{8}\left(5+3\cos 4 \theta\right)$

6 0

2 years ago

In a class of 34 students

musickatia [10]

Answer:

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Q10.<br> Prove algebraically that the recurring decimal 0.178 can be written as the fraction 59/330

bearhunter [10]

Answer:

bbv

Step-by-step explanation:

5 0

3 years ago

Please help with number 4

Scilla [17]

Answer:

B) 16

Step-by-step explanation:

5 tickets = $15

15/5=3

1 ticket = $3

48/3 = 16

16 tickets for $48

3 0

3 years ago