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Nadya [2.5K]
3 years ago
12

In triangle ORS the measure of angle ROS is 38 and the measure of angle XYZ is 82. What is the measure of ORS?

Mathematics
1 answer:
Arisa [49]3 years ago
3 0

Answer:

m<ORS: 60

Step-by-step explanation:

All triangle angles add up to 180

ORS = x

x + 38 + 82 = 180

x + 120 = 180

x = 60

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Multiply and simplify. 2x4yx⋅6xy2z3
OLEGan [10]

Answer:

The given expression 2x^4yx \times 6xy^2z^3   on multiplying  is 12x^6y^3z^3

Step-by-step explanation:

Consider the given two expressions 2x^4yx and 6xy^2z^3

We have multiply both expressions,

2x^4yx \times 6xy^2z^3

To multiply two terms first multiply constant numbers that is 6 × 2 = 12

For x , y and z apply property of exponent,

x^a\cdot x^b=x^{a+b}

Then power of x together will be,

x^4\cdot x\cdot x=x^{4+1+1}=x^6

Similarly for y powers,

y \cdot y^2=y^{1+2}=y^3

Since first term do not have any expression for z so it will remain same.

Thus, the given expression  on multiplying become,

2x^4yx \times 6xy^2z^3 is 12x^6y^3z^3




7 0
3 years ago
Read 2 more answers
Which number is greater and by how much? a decreased by 50% and then increased by 50% of the result
zaharov [31]

Answer:

Let's assume the number is 100 now it is increased by 50% that means

100+ (50/100)*100

100+50=150

Now it is decreased by 25% that means

150- (25/100)*150

150–37.5=112.5

Total percentage increase ={(112.5–100)/100}*100

=12.5%

Step-by-step explanation:

7 0
2 years ago
<img src="https://tex.z-dn.net/?f=5%202%2F3%20-10" id="TexFormula1" title="5 2/3 -10" alt="5 2/3 -10" align="absmiddle" class="l
polet [3.4K]
52/3 - 10
Convert both numbers into fractions.
52/3 - 10/1
Make sure they both have the same denominator
52/3 - 30/3
Now you can take the numerator and subtract it.
22/3
Now you simply simplify
7 1/3
So the answer is 7 1/3
6 0
3 years ago
The mean incubation time of fertilized eggs is 21 days. Suppose the incubation times are approximately normally distributed with
Korvikt [17]

Answer:

a) 20.16; b) 20.49 and 21.51

Step-by-step explanation:

We use z scores for each of these.  The formula for a z score is

z=\frac{X-\mu}{\sigma}.

For part a, we want the 20th percentile; this means we want 20% of the data to be lower than this. We find the value in the cells of the z table that are the closest to 0.20 as we can get; this is 0.2005, which corresponds with a z score of -0.84.

Using this, 21 as the mean and 1 as the standard deviation,

-0.84 = (X-21)/1

-0.84 = X-21

Add 21 to each side:

-0.84+21 = X-21+21

20.16 = X

For part b, we want the middle 39%.  This means we want 39/2 = 19.5% above the mean and 19.5% below the mean; this means we want

50-19.5 = 30.5% = 0.305 and

50+19.5 = 69.5% = 0.695.

Looking these values up in the cells of the z table, we find those exact values; 0.305 corresponds with z = -0.51 and 0.695 corresponds with z = 0.51:

-0.51 = (X-21)/1

-0.51 = X-21

Add 21 to each side:

-0.51+21 = X-21+21

20.49 = X

0.51 = (X-21)/1

0.51 = X-21

Add 21 to each side:

0.51+21 = X-21+21

21.51 = X

4 0
3 years ago
The price of an article with 13% VAT is Rs. 2,034. What is
Jobisdone [24]

Step-by-step explanation:

this will may be helpful for you.

6 0
3 years ago
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