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3 years ago

6

Which of the following is not a characteristic of non-Euclidean geometry? A. Space is saddle-curved. B. The sum of the angles in

a triangle is always C. The parallel postulate is false. D. There are no straight lines.

1 answer:

kobusy [5.1K]3 years ago

8 0

<span>The correct answer is
A. Space is saddle-curved </span>

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An animal shelter has a ratio of dogs to cats that's 3:2. if there are 30 cats at the shelter, how many dogs are there?

lys-0071 [83]

3/2 = x/30........3 dogs to 2 cats = x dogs to 30 cats
cross multiply
(2)(x) = (3)(30)
2x = 90
x = 90/2
x = 45 dogs <===

6 0

3 years ago

Are the graphs y=4x-4 and 24x-4y=96 parallel

nydimaria [60]

$k:y=m_1x+b_1;\ l:y=m_2x+b_2\\\\k\ ||\ l\iff m_1=m_2\\\\k:y=4x-4;\ l:24x-4y=96\\\\24x-4y=96\ \ \ \ |subtract\ 24x\ from\ both\ sides\\-4y=-24x+96\ \ \ \ |divide\ both\ sides\ by\ (-4)\\y=6x-24\\\\m_1=4;\ m_2=6\Rightarrow m_1\neq m_2$

Answer: The graphs y = 4x - 4 and 24x - 4y = 96 are not parallel.

3 0

3 years ago

2/5 (1/3x - 15/8) - 1/3(1/2 - 2/3x)

borishaifa [10]

Your question presented was: $\frac{2}{5} (\frac{1}{3} x-\frac{15}{8} )-\frac{1}{3} (\frac{1}{2} -\frac{2}{3}x)$

Okay, lets distribute this problem and break it into two parts. We will distribute 2/5 and -1/3 to the numbers in parenthesis. This is the distributive property.

<u><em>Step 1.</em></u>
$\frac{2}{5} (\frac{1}{3} x-\frac{15}{8} )$ when distributed is $\frac{2}{15} x - \frac{30}{40}$

Please note that -1/3 can be rewritten as + -1/3. So you must distribute the negative.

<u><em>Step 2.</em></u>
$\frac{-1}{5} + \frac{2}{9} x$
So..lets put the 2 parts of the equation together

$\frac{2}{15} x - \frac{30}{40}$ + $\frac{-1}{5} + \frac{2}{9} x$ can be simplified by getting the common denominator.

You can only add like terms, so those fractions with x can only be combined with x.
<u><em>Step 3.</em></u>
Lets reformat while we're at it
$\frac{6}{45} x + \frac{10}{45} x -\frac{30}{40} -\frac{8}{40}$

We got 45 because the LCM (Lowest Common Multiple) of 15 and 9 was 45. We multiplied both sides of the fraction by 3 for 2/15x and we multiplied by 5 on both parts of the fraction for 2/9x.

Now we combine.
<u><em>Step 4.</em></u>
$\frac{16}{45}x-\frac{38}{40}$ . We can still simplify!
<u><em>Step 5.</em></u>
-38/40 can be simplified by a common factor, 2! So our final answer is
$\frac{16}{45}x-\frac{19}{20}$

I hope this helps you, heart if it helps.

6 0

1 year ago

Help please!!!!!!!!!!!!!!!!!

kakasveta [241]

Answer:

Step-by-step explanation:

A signed number means that the number uses a plus or minus sign in front of it.

A

Her account will get 200 dollars larger so you will use + 200

B

The temperature is 12 degrees below zero (cold!!!) so you will write - 12

8 0

2 years ago

You randomly survey students about year-round school. The results are shown in the graph.

ale4655 [162]

Answer:

27% and 37%

Step-by-step explanation:

Percentage of students who oppose the year-round school = 68%

Percentage of students who support the year-round school = 32%

Margin of error = ± 5%

We have to set up the absolute valued equation to find the range(least and greatest) percentages of students who could be in favor of year-round school.

Since, the percentage of students who support the year-round school is 32% and the margin of error is 5%, this means, the difference between 32% and the least and greatest possible percentages is 5%. It can be either +5% or -5%

This thing can be expressed as absolute valued equation as:

| x - 32 | = 5

Here x represents the least and greatest percentages.

Expanding the equation, we can write:

x - 32 = -5 or x - 32 = 5

x = -5 + 32 or x = 5 + 32

x = 27% x= 37%

This means the least percentage of students who be in favor is 27% and the greatest percentage of students is 37%.

6 0

2 years ago