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3 years ago

What value of x makes this proportion true?

Mathematics

1 answer:

Trava [24]3 years ago

8 0

The answer is 5:) you first have to cross multiply then divide both sides from x

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Triangle ABC is represented by the drawing below.

zhannawk [14.2K]

Step-by-step explanation:

Therefore,

(x+20) + (x-10) + (2x-30) = 180° (Sum of interior angles of a triangle)

Or, x+x+2x+20-10-30 = 180°

Or, 4x-20 = 180°

Or, 4x= 180+20

Or, 4x= 200°

Or, x= 200°/4

Therefore, x= 50°

So,

(x+20)

= 50+20

=70°

(x-10)

= 50-10

40°

(2x-30)

= 2×50-30

=100-30

=70°

Hope it helped, If it did, please mark it as the brainliest answer :)

3 0

3 years ago

The diameter of cold virus cell is about 3x10-9 meter,and the diameter of a streptoccus bacterium cell is about 9x10-7 meter. Wh

Archy [21]

Here we need to compare the orders of magnitude of two measures.

We will see that the bacteria is 300 times larger than the virus.

We know that:

The diameter of the virus-cell is:

$D_v = 3 \cdot 10^{-9} m$

The diameter of the bacteria cell is:

$D_b = 9 \cdot 10^{-7} m$

So, to compare them, first notice that both are in the same units, meters, so we only need to compare the numbers.

Is common sense to identify the one with the largest exponent as the largest number, and the largest exponent is -7, thus the bacteria should be the larger one.

But let's prove this with math, remember the property:

$\frac{a^n}{a^m} = a^{n - m}$

Let's take the quotient between the diameters and see what we get, I will use the diameter of the bacteria in the numerator, thus if the quotient is larger than 1, it would mean that the bacteria is greater and by how much.

$quotient = \frac{ 9 \cdot 10^{-7} m}{ 3 \cdot 10^{-9} m} = \frac{9}{3} \cdot 10^{-7 + 9}\\\\= 3*10^2$

So we can say that the bacteria is 3*10^2 = 3*100 = 300 times larger than the virus.

If you want to learn more, you can read:

brainly.com/question/4953281

8 0

2 years ago

The depth of a lake, d, varies directly with r, the amount of rainfall last month. if k is the constant of variation, write an e

irina1246 [14]

Answer:
d = kr

Explanation:
We know that the depth (d) varies directly with the amount of rain (r).
This means that as the amount of rain increases, the depth increases and vice-versa.
The depth would depend on r multiplied by a constant of variation (k)

Translating this into equation, we would get the following:
d = kr

Hope this helps :)

4 0

3 years ago

Fully factorise 8x+24

irinina [24]

8(x+3)
In this form, it is fully factored. All you need is a GCF, which is 8.
Hope this helps!

6 0

3 years ago

Read 2 more answers

What is the difference between a quadratic function and a quadratic equation

jeka57 [31]

Answer:

The roots of a quadratic equation simply tell what values of x will make the equation true. A quadratic function is a function where the largest power for the variable is 2. ... A quadratic equation is given to you so that you can solve it for the variable. A quadratic function is given to you so that you can graph it.

3 0

2 years ago

Read 2 more answers