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3 years ago

Write 9/15 in its simplest form.

Mathematics

2 answers:

motikmotik3 years ago

8 0

Answer:

3/5

Step-by-step explanation:

iragen [17]3 years ago

8 0

Answer:

$\displaystyle\frac{3}{5}$

Step-by-step explanation:

Hi there!

$\displaystyle\frac{9}{15}$

Divide both the numerator and denominator by 3:

$= \displaystyle\frac{9/3}{15/3}\\\\= \displaystyle\frac{3}{5}$

I hope this helps!

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Help me to prove the given below. Thank you in advance

sleet_krkn [62]

Answer:

Construct MO, where O is the midpoint of CG. (As shown in the attached figure)

(1) LM = MG //given, CM is the median to the hypotenuse

(2) CO = OG // construction

(3) MO is a mid-segment //(1), (2) , Definition of a mid-segment

(4) MO // LC //triangle mid-segment theorem

(5) ∠MOG ≅ ∠LCO // corresponding angles in two parallel lines intersected by a transversal line (CG)

(6) m∠LCO=90° //given, ΔLCG is a right triangle

(7) m∠MOG=90° //(5), (6), definition of congruent angles

(8) m∠MOC=180° – 90° = 90° // linear pair

(9) ∠MOG ≅ ∠MOC //(7),(8), definition of congruent angles

(10) MO=MO //common side, reflexive property of equality

(11) ΔMCO ≅ ΔMGO //(2), (9), (10) Side-Angle-Side postulate

(12) MC = MG // Corresponding sides in congruent triangles (CPCTC)

(13) MG= ½LG // Given, CM is the median to the hypotenuse

(15) MC = ½LG //(12) , (13), substitution

8 0

3 years ago

Use the properties of operations to determine if each pair of expressions is equivalent

SIZIF [17.4K]

Using the properties of operations the given pair of expressions are not equivalent

Solution:

Given that, we have to use the properties of operations to determine if each pair of expressions is equivalent

And the two expressions are:

$\frac{1}{2}(4-2 x) \text { and } 2-2 x$

Now, we know that, there are four (4) basic properties of operations:

Commutative, Associative, Distributive and Identity. These properties only apply to the operations of addition and multiplication.

So, if we observe we can apply distributive property on 1st expression

The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum.

$\begin{array}{l}{\frac{1}{2}(4-2 x) \rightarrow \frac{1}{2}(4)-\frac{1}{2}(2 x)} \\\\ {\rightarrow 2-x}\end{array}$

Here the resulting expression is 2 – x and it is not equivalent to 2 – 2x

Hence, the given two expressions are not equal.

3 0

2 years ago

A company advertises that its cans of caviar each contain 100 g of their product. A consumer advocacy group doubts this claim, a

Blizzard [7]

Answer:

The value of the test statistic is -3.14.

Step-by-step explanation:

Test statistic:

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the expected value, $\sigma$ is the standard deviation and n is the size of the sample.

A company advertises that its cans of caviar each contain 100 g of their product.

This means that $\mu = 100$

They calculate a sample mean weight of 99 g and a sample standard deviation of 0.9 g. Sample of 8 cans.

This means that $X = 99, \sigma = 0.9, n = 8$

So the test statistic will be given by:

$t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$t = \frac{99 - 100}{\frac{0.9}{\sqrt{8}}}$

$t = -3.14$

The value of the test statistic is -3.14.

8 0

3 years ago

Please help it due ASAP Pls SHOW WORKINGS also.

marusya05 [52]

Answer:

Step-by-step explanation:

Angle 5 is equal to angle 8 because the two angles are an alternate interior angle. We already know that angle 7 and 8 are supplementary because it's adjacent to each other on a straight line. So, since angle 5 and 8 is equal to each other, angle 5 is also supplementary to angle 7.

4 0

3 years ago

In 2005, there were 14,100 students at college A, with a projected enrollment increase of 1000 students per year. In the same

Ede4ka [16]

Let A be college A and let B be College B

A= 14,100

Rule: 1 Year = +1,000 students

B= 34,350

Rule: -1250 per year

1st Answer: 2017

Notice: I didn't show the formula because I'm not %100 sure I'm kind of off so if this is incorrect I'm deeply sorry. I truly am. On the bright side, I think its correct.

4 0

3 years ago