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mash [69]
3 years ago
15

Find an expression equivalent to the one shown below.

Mathematics
2 answers:
melomori [17]3 years ago
7 0
The answer is A, because:

3^8x(3^11)^-3
3^8x3^-33
1/3^25

OLga [1]3 years ago
3 0
I think the answer is A
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Find the measure indicated. Assume that the lines which appear to be tangent are tangent. PART 3
ludmilkaskok [199]

I'll do problems 13 and 14 to get you started.

=====================================================

Problem 13

<h3>Answer:  32 degrees</h3>

-----------------------

Explanation:

Refer to the diagram below for problem 13. Since BD is a tangent of the circle, this means angle ABD is 90 degrees, and furthermore x+y = 90. This solves to y = 90-x.

If we focus on triangle ABC, then we can add the interior angles and set the sum equal to 180

A+B+C = 180

z+y+y = 180

z+2y = 180

z+2(90-x) = 180 .... plug in y = 90-x

z+180-2x = 180

z-2x = 180-180

z-2x = 0

z = 2x

We'll use this later.

Now move onto triangle ABD. This is a right triangle due to angle ABD being 90 degrees. The acute angles z and 26 are complementary, meaning they add to 90. So,

z+26 = 90

z = 90-26

z = 64

Now plug this into z = 2x and solve for x

z = 2x

64 = 2x

2x = 64

x = 64/2

x = 32

=====================================================

Problem 14

<h3>Answer: 31 degrees</h3>

-----------------------

Explanation:

Refer to the image shown below for problem 14. Like before, I've added various labels to it to help find the angle we're after (the red angle x).

Note how I've drawn a dashed line from point A to point D. This splits up quadrilateral ABCD into two triangles ABD and ACD. These triangles can be shown to be congruent using the HL (hypotenuse leg) theorem.

The congruent triangles also implies that angle DBC and angle BCD are the same measure (both are shown in green as the variable y).

Focus on triangle BCD. It has interior angles of: y, y and 62. Add them up, set the sum equal to 180.

y+y+62 = 180

2y+62 = 180

2y = 180-62

2y = 118

y = 118/2

y = 59

As the image attachment mentions, the angles x and y add to 90 degrees. This is because angle ABD is 90 degrees, due to segment BD being tangent to the circle. So x+y = 90 leads to x = 90-y, and therefore,

x = 90-y

x = 90-59

x = 31

Side note: it is not a coincidence that we ended up with half of the value of 62.

3 0
3 years ago
At the craft store, Tara bought 12 yards of fabric to make tote bags. Each bag requires 1.25 yards of fabric. If Tara makes 5 to
matrenka [14]

Answer:

5.75 yds left

Step-by-step explanation:

1.25 yds per bag*5 bags =6.25 yds used

She had 12 yds

12-6.25 =5.75

She has 5.75 yds left

5 0
2 years ago
Someone help me with this ASAP!!!
frozen [14]
It is going to be 7.5
6 0
3 years ago
Read 2 more answers
Find the LCD. Do not combine fractions.<br> 4<br> 1<br> X-9' x2 - 18x + 81<br> LCD =
olchik [2.2K]

Answer:

(x-9)^2

Step-by-step explanation:

8 0
2 years ago
Three students want to estimate the mean word length of the same book. To do this, each student randomly chose 4 words from the
Firlakuza [10]

The solutions to the questions are given below

a)

sample(n) word length sample mean

1                    5,4,4,2    3.75

2                    3,2,3,6     3.5

3                         5,6,3,3    4.25


b)R =0.75

c)

  • The mean of the sample means will tend to be a better estimate than a single sample mean.
  • The closer the range of the sample means is to 0, the more confident they can be in their estimate.

<h3>What is the students are going to use the sample means to estimate the mean word length in the book.?</h3>

The table below shows sample means in the table.

sample(n) word length sample mean

1                    5,4,4,2    3.75

2                    3,2,3,6     3.5

3                         5,6,3,3    4.25

b)

Generally, the equation for is  mathematically given as

variation in the sample means

R =maximum -minimum

R=4.25-3.5

R =0.75

c)

In conclusion, In most cases, the mean of many samples will provide a more accurate estimate than the mean of a single sample.

They may have a higher level of confidence in their estimate if the range of the sample means is closer to 0 than it is now.

Read more about probability

brainly.com/question/795909

#SPJ1

7 0
2 years ago
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