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2 years ago

Solve the equation and show each step: 25 - 4x = 15 - 3x + 10 - X

Mathematics

1 answer:

dimulka [17.4K]2 years ago

3 0

Answer:

All real numbers.

Step-by-step explanation:

25-4x=15-3x+10-x

25-4x-(-3x)-(-x)=15+10

25-4x+3x+x=25

25-x+x=25

25=25

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Can someone help.

r-ruslan [8.4K]

Answer:

m∠C = 38° (nearest whole number).

Step-by-step explanation:

To find the missing angle, use the Sine Rule.

<u>Sine Rule</u> (for angles)

$\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}$

where:

A, B and C are the angles
a, b and c are the sides opposite the angles

Given:

A = 53°
a = 18
c = 14

To find m∠C, substitute the given values into the formula and solve for C:

$\implies \sf \dfrac{\sin 53^{\circ}}{18}=\dfrac{\sin C}{14}$

$\implies \sf \sin C= \dfrac{14 \sin 53^{\circ}}{18}$

$\implies \sf C= \sin^{-1} \left( \dfrac{14 \sin 53^{\circ}}{18}\right)$

$\implies \sf C= 38.40096301...^{\circ}$

Therefore, m∠C = 38° (nearest whole number).

Learn more about the sine rule here:

brainly.com/question/27089170

brainly.com/question/27704834

5 0

2 years ago

Olivia bowled 5 games. Her scores were 80, 95, 100, 85, and 95. What is the mean of her scores for the 5 games? * A. 20 B. 72 C.

egoroff_w [7]

The answer is gonna be C,which is 91.Hope this helps

5 0

3 years ago

Read 2 more answers

Which is the best unit to measure the distance between califronia and new york

Ludmilka [50]

Answer:

Miles would be the best.

Step-by-step explanation:

Miles are the largest way to measure land, so I would use that.

3 0

3 years ago

Read 2 more answers

Write an equation that goes through (8,1) and is perpendicular to 2y + 4x =12

Serggg [28]

Answer:

2y -x + 6 = 0

Step-by-step explanation:

Here a equation and a point is given to us and we are interested in finding a equation which is perpendicular to the given equation and passes through the given point .

The given equation is ,

$\sf \longrightarrow 2y + 4x = 12 \\$

$\sf \longrightarrow 4x + 2y = 12$

Firstly convert this into slope intercept form , to find out the slope of the line.

$\sf \longrightarrow 2y = -4x +12\\$

$\sf \longrightarrow y =\dfrac{-4x+12}{2}\\$

$\sf \longrightarrow y =\dfrac{-4x}{2}+\dfrac{12}{2}\\$

$\sf \longrightarrow \red{ y = -2x + 6 }$

Now on comparing it to slope intercept form which is y = mx + c , we have ,

m = -2

And as we know that the product of slopes of two perpendicular lines is -1 . So the slope of the perpendicular line will be negative reciprocal of the slope of the given line. Therefore ,

$\sf \longrightarrow m_{\perp}=\dfrac{-1}{-2}=\red{\dfrac{1}{2}}$

Now we may use the point slope form of the line to find out the equation of the line using the given point . The point slope form is,

$\sf \longrightarrow y - y_1 = m(x - x_1)$

Now on substituting the respective values we have,

$\sf \longrightarrow y - 1 = \dfrac{1}{2}(x-8)\\$

$\sf \longrightarrow 2(y-1 )= x -8 \\$

$\sf \longrightarrow 2y -2=x-8\\$

$\sf \longrightarrow \underline{\boxed{\bf 2y - x + 6=0}}$

5 0

2 years ago

Triangle ABC is dilated by a scale factor of 2 with a center of dilation at the origin. What are the coordinates of the image of

RUDIKE [14]

C prime would just be (4, 2) cause you are dilating it at 0,0 and with a scale factor of 2.
2(2, 1) is (4, 2)
This is double the distance from 0, 0 which makes sense

6 0

3 years ago