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3 years ago

PLEASE HELP WITH ALGEBRA PROBLEM

Mathematics

1 answer:

Lunna [17]3 years ago

6 0

Answer:

Step-by-step explanation:

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Pls help I don't understand this

Rudiy27

<h3>Answer:</h3>

<u>By angle bisector property</u>,

11x + 23 = 8x + 35
11x - 8x = 35 - 23
3x = 12
x = 4°

So, <u>m∠ABD</u> = 8x + 35

8 × 4 + 35
32 + 35 = 67°

<u>m∠CBD</u> = 11x + 23

11 × 4 + 23
44 + 23 = 67°

<u>m∠ABC</u> = 67° + 67° = 134°

4 0

3 years ago

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5, find the ratio of the smaller number to the larger nu

IgorC [24]

Answer:

$\frac{1}{9}$

Step-by-step explanation:

Let the numbers be x,y, where x>y

The geometric mean is

$\sqrt{xy}$

The Arithmetic mean is

$\frac{x + y}{2}$

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5.

$\frac{ \sqrt{xy} }{ \frac{x + y}{2} } = \frac{3}{5}$

We can write the equation;

$\sqrt{xy} = 3$

$xy = 9 - - - (2)$

and

$\frac{x + y}{2} = 5$

$x + y = 10 - - - (2)$

Make y the subject in equation 2

$y = 10 - x - - - (3)$

Put equation 3 in 1

$x(10 - x) = 9$

$10x - {x}^{2} = 9$

${x}^{2} - 10x + 9 = 0$

$(x - 9)(x - 1) = 0$

$x =1 \: or \: 9$

When x=1, y=10-1=9

When x=9, y=10-9=1

Therefore x=9, and y=1

The ratio of the smaller number to the larger number is

$\frac{1}{9}$

3 0

3 years ago

Find the 7th term of the sequence:<br>1.4. 16, 64, ...

MariettaO [177]

Answer:

182 should be the 7th term

7 0

3 years ago

What is the slope of a linear that is perpendicular to the line y=-1/2x+5?

Vlada [557]

Step-by-step explanation:

Equation of given line is:

$y = - \frac{1}{2} x + 5 \\ \\ equating \: it \: with \: y =m_1x + c \\ we \: find \: \\ m_1 = - \frac{1}{2} \\ let \: m_2 \: be \: the \: slope \: of \: required \: line \\ \\ \therefore \: m_1 \times m_2 = - 1( \because \: lines \: are \: \perp) \\ \\ \therefore \: - \frac{1}{2} \times m_2 = - 1\\ \\ \therefore \: m_2 = 2 \\$

Thus, the slope of required line is 2.

6 0

3 years ago

4times 1 1/5 as a product of a mixed number

natka813 [3]

The answer is 24/5 or 4 4/5 but if it is 11 on 5, the answer would be 44/5 or 8 4/5

7 0

4 years ago