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3 years ago

Find the length of the variable w

Mathematics

1 answer:

miss Akunina [59]3 years ago

6 0

Answer:

w = 3

Step-by-step explanation:

Δ BDE and Δ BAC are similar, then the ratios of corresponding sides are equal, that is

$\frac{BD}{BA}$ = $\frac{DE}{AC}$ , substitute values

$\frac{w}{w+2}$ = $\frac{3}{5}$ ( cross- multiply )

5w = 3(w + 2) ← distribute

5w = 3w + 6 ( subtract 3w from both sides )

2w = 6 ( divide both sides by 2 )

w = 3

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How do you find the measure of an arc on a circle that only provides one angle?

nevsk [136]

Answer: An arc can be measured either in degree or in unit length. A

arc is a portion of the circumference of the circle which is

determined by the size of its corresponding central angle.

Step-by-step explanation:

create a proportion that compares the arc to the whole circle first

in degree measure and then in unit length.

(measure of central angle/360 degrees) = (arc

length/circumference) arc length = (measure of central angle/360

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6 0

3 years ago

GEOMETRY HELP PLEASE!! WILL MARK BRAINLEIST! 6

alexgriva [62]

Answer:

53°

Step-by-step explanation:

Let m∠BCA = 'x'

Because it states that quadrilateral ABCD is a rectangle (sorry, forgot to say that in my image), that means that angles ∠ABC, ∠BCD, ∠CDA and ∠DAB are all right angles. That also means that all those angles are 90°.

Since ∠ACD is a portion of ∠BCD, (37° is a portion of 90°), and we're looking for the complement of ∠ACD, all we have to do is subtract 37° from 90°.

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Hence, the answer is 53°

6 0

3 years ago

Solve and graph the solution. |4x-13| = 5x+4

konstantin123 [22]

Answer: x = -17

Step-by-step explanation:

4x-13=5x+4

(4x-13)+(13-5x)=(5x+4)+(13-5x)

4x-13+13-5x=5x+4+13-5x

4x-5x-13+13=5x-5x+4+13

-x=17

x=-17

6 0

3 years ago

Read 2 more answers

Identify an equation in point-slope form for the line perpendicular to

Alchen [17]

Answer:

$y - 9 = \frac{1}{2}(x +3)$

Step-by-step explanation:

Given

Function; $y = -2x + 8$

Required

Find an equation perpendicular to the given function if it passes through (-3,9)

First, we need to determine the slope of: $y = -2x + 8$

The slope intercept of an equation is in form;

$y = mx + b$

Where m represent the slope

Comparing $y = m_1x + b$ to $y = -2x + 8$ ;

We'll have that

$m_1 = -2$

Going from there; we need to calculate the slope of the parallel line

The condition for parallel line is;

$m_1 * m_2 = -1$

Substitute $m_1 = -2$

$(-2) * m_2 = -1$

Divide both sides by -2

$m_2 =\frac{ -1}{-2}$

$m_2 =\frac{1}{2}$

The point slope form of a line is;

$y - y_1 = m_2(x - x_1)$

Where $(x_1,y_1) = (-3,9)$ and $m_2 =\frac{1}{2}$

$y - y_1 = m_2(x - x_1)$ becomes

$y - 9 = \frac{1}{2}(x - (-3))$

Open the inner bracket

$y - 9 = \frac{1}{2}(x +3)$

Hence, the point slope form of the perpendicular line is: 

 $y - 9 = \frac{1}{2}(x +3)$ 

3 0

4 years ago

Which of the following correctly describes confidence level?

elena-s [515]

Answer:

C: A confidence level is the probability that something will fall within a confidence interval.

Have a good day!

8 0

3 years ago