find degree measures of marked angles in fig 5.47​

Find Degree Measures Of Marked Angles In Fig 5.47

Answers

Answer 1

Answer:

50+P=125 exterior angle of the triangle is equal to the sum of two opposite interior angle

P=125-50=75°

q+125=180 linear pair

q=180-125=55°

r=q=55° vertically opposite angle

s+85=125 exterior angle of the triangle is equal to the sum of two opposite interior angle

s=125-85=40°

s+t=180 linear pair

t=180-40=140°

u=s=40° vertically opposite angle

w=65° vertically opposite angle

v+u+w=180 sum of interior angle of the triangle is 180

v+40+65=180

v=180-105=75°

x+65=180 linear pair

x=180-65=115°


Related Questions

One bar of candy A and two bars of candy B have 777 calories. Two bars of candy A and one bar of candy B contain 783 calories. Find the caloric content of each candy bar.

Answers

Answer:

A has 263 calories

B has 257 calories

Step-by-step explanation:

system of equations:

a + 2b = 777

2a + b = 783

I multiplied the first equation by -2 to eliminate the 'a' terms

  -2a - 4b = -1554

+ 2a  + b =    783

         -3b = -771

b = 257

solve for 'a'

a + 2(257) = 777

a + 514 = 777

a = 263

If g(x)=(sin6x)+3 , determine g(15)

Answers

Answer:

6 × 15 equals 90, and the sine of 90° = 1.  That gives us 1 + 3.  The answer then is 4.

How many integers satisfy each inequality?


102 < x <105

Answers

Answer:

2

Step-by-step explanation:

The 2 integers are 103 and 104

Answer:

2

Step-by-step explanation:

103, 104

a+5 expressed as a difference

Answers

Answer:

A-(-5)

Step-by-step explanation:

Answer:

A-(-5)

Step-by-step explanation:

Sam can run
2 1/2 miles in 30 minutes. At this rate, how long would it take Sam to
run 4 miles?

Answers

48 minutes!

Each mile is 12 minutes since 12*2 is 24 and 1/2 of 12 is 6 so 24+6 is 30! So 12*4 is 48!

Choose all the multiples of 6.

48
18
36
12
22
16
38

Answers

Answer:

48, 18, 36, 12

Step-by-step explanation:

6 evenly goes into all of them

48, 12, 36, 12 hope this helps pls mark Brainliest

which situation could be represented by -5 x 3

Answers

Answer:

-15

Step-by-step explanation:

Answer:

(-5) x 3 + -15

Step-by-step explanation:

Is this question correct? I know the 96 part is but i'm not sure about part A

Answers

Yes what you have is correct assuming the 96 is correct. Because 96* 1/4 does equal 24

2. What is the solution to the inequality
--4x > 132? Show your work

Answers

Answer:

x < -33 ( mark me as the brainliest )

Step-by-step explanation:

1) -4x > 132

2) -4x/4 > 132/-4

3) x < -33

X - 7 = -1, what does 'x' equal?

Answers

Answer:

x=6

Step-by-step explanation:

x-7=-1 add -1 to other side of the equation

x-6=0 add six to the zero

x=6

Anybody can tell me How to solve |8|+|-6|?​

Answers

to solve this first make sure to look at the signs. since 8 is the bigger number you know your answer will be positive. now do 8-6 and your answer will be 2. or you can look at it by breaking down the 8 like: -6 + 6 +2, whichever helps you.

P=6 and q=5, what is the value of 3pq

Answers

Answer:

90

Step-by-step explanation:

3pq

3×6×5=90

mark as brainliest please

Make a triangle with 36 unit area and 9 unit base

Answers

I cannot necessarily "make" a triangle, but I do know that the dimensions or measurements of the triangle would be:

area = 36 units

base = 9 units

height = 8 units

3) Jacob has 4 granola bars. He cuts them into pieces that are 1/3 of a bar each. After he cuts the 4 bars, how many pieces does Jacob have?

Answers

Answer:

12

Step-by-step explanation:

if each bar is cut into 3 pieces, then we multiply 4 by 3 to get 12.

After he cuts the 4 bars, there are 12 pieces Jacob have.

What is division?

Division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic, which gives a fair result of sharing.

Jacob has 4 granola bars.

He cuts them into pieces that are 1/3 of a bar each.

After he cuts the 4 bars.

After he cuts the 4 bars, how many pieces Jacob has is determined in the following steps given below.

[tex]\rm = \dfrac{Total \ granola \ bars}{Cut \ pieces}\\\\= \dfrac{4}{\dfrac{1}{3}}\\\\=\dfrac{4}{0.33}\\\\= 12.12\\\\= 12 \ apporx[/tex]

Hence, After he cuts the 4 bars, there are 12 pieces does Jacob have.

Learn more about division here;

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The first term of a geometric sequence
is -2. The common ratio is 4. What is
the 6th tem?
F -8192
H 2048
G -2048
J 8192

Answers

Answer:

Step-by-step explanation:

a₆ = a₁r⁶⁻¹ = (-2)4⁵ = -2048

The sixth term of the given sequence is required.

The required term is option G -2048.

Geometric sequence

a = First term = -2

r = Common ratio = 4

n = Required term = 6

The general formula to find a term of the sequence is given by

[tex]a_n=ar^{n-1}[/tex]

Substituting the values we get

[tex]a_6=-2\times 4^{6-1}\\\Rightarrow a_6=-2\times 4^5\\\Rightarrow a_6=-2\times 4\times 4\times 4\times4\times 4\\\Rightarrow a_6=-2048[/tex]

Learn more about geometric sequence:

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Carl is on the school track team. To prepare for an upcoming race, he plans to run 217 miles total over the next 31 days. Write an equation to determine how many miles, m, he needs to run per day, assuming he runs the same amount each day. How many miles does Carl need to run each day?​

Answers

Answer:

He needs to run 7 miles per day. 217/31 = 7m

Step-by-step explanation:

The authors of a certain paper describe a study to evaluate the effect of mobile phone use by taxi drivers in Greece. Fifty taxi drivers drove in a driving simulator where they were following a lead car. The drivers were asked to carry on a conversation on a mobile phone while driving, and the following distance (the distance between the taxi and the lead car) was recorded. The sample mean following distance was 3.70 meters and the sample standard deviation was 1.17 meters.
a. Construct and interpret a 95% confidence interval for m, the population mean following distance while talking on a mobile phone for the population of taxi drivers.
b. What assumption must be made to generalize this confidence interval to the population of all taxi drivers in Greece?

Answers

a. The population of taxi drivers in Greece falls between 3.3766 meters and 4.0234 meters.

b. The assumption is that the sample of 50 taxi drivers is representative of the population.

a.

To construct a 95% confidence interval for the population mean following distance while talking on a mobile phone, we can use the formula:

Confidence Interval = sample mean ± (critical value × standard error)

The standard error:

Standard Error = sample standard deviation / √(sample size)

Standard Error = 1.17 / √(50)

Standard Error = 0.165

Since the sample size is large (n > 30), we can use the Z-table to find the critical value.

For a 95% confidence level, the critical value is approximately 1.96.

Now we can construct the confidence interval:

Confidence Interval = 3.70 ± (1.96 × 0.165)

Confidence Interval = 3.70 ± 0.3234

Confidence Interval = (3.3766, 4.0234)

Interpretation: We are 95% confident that the true population means following distance while talking on a mobile phone for the population of taxi drivers in Greece falls between 3.3766 meters and 4.0234 meters.

b.

The assumption that must be made to generalize this confidence interval to the population of all taxi drivers in Greece is that the sample of 50 taxi drivers is representative of the population. It is assumed that the sample was randomly selected and that the taxi drivers included in the study are a fair and unbiased representation of all taxi drivers in Greece.

Learn more about the confidence interval here:

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x
What is the angle of elevation of the sun when a 50-ft
mast casts an 18ft shadow? Round to the nearest
whole number.
Tano
50
Tan 0 =
18
0=
Opposite Leg
Adjacent Leg
Submit
50ft
How do I solve this please it’s the last problem

Answers

Answer:

[tex]\theta \approx 1.23^\circ[/tex]

Step-by-step explanation:

The expression has been given as:

[tex]tan(\theta) = \frac{50}{18}[/tex]

Required: Find [tex]\theta[/tex]

Simplify the fraction

[tex]tan(\theta) = 2.7778[/tex]

Take arc tan of both sides

[tex]\theta = tan^{-1}(2.7778)[/tex]

[tex]\theta \approx 1.23^\circ[/tex]

(2+5x)9= combine like terms

Answers

Answer:

18+45x

Step-by-step explanation:

Help pleaseee is for now

Answers

Answer: it’s none. Because: all of them don’t fit in perfectly.


I need help the question is what is the are of the composite figure

Answers

Answer:

Option 4

Step-by-step explanation:

Area of a trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]

Here, [tex]b_1[/tex] and [tex]b_2[/tex] are the bases and 'h' is the height between the bases.

Area of the composite figure = Area of two trapezoids given

                                                = [tex]\frac{1}{2}(12+12)14+\frac{1}{2}(25+31)11[/tex]

                                                = [tex]\frac{1}{2}(24)(14)+\frac{1}{2}(56)(11)[/tex]

                                                = 168 + 308

                                                = 476 square ft

Option 4 is the answer.

need some help with this problem on ixl

Answers

Answer:

I believe its 9 pieces.

Step-by-step explanation:

passerby took 1/3 vanilla and 2/3 coconut. 27/3=9

An incomplete sentence is given. “The value of 2 x 1014 is times the value of 4 x 106" What number correctly completes the sentence?​

Answers

Answer:

0.00000002

Step-by-step explanation:

Let the unknown number be x.

Translating the word problem into an algebraic expression, we have;

2 * 10¹⁴ * x = 4 * 10⁶

To find the value of x;

x = 4 * 10⁶/2 * 10¹⁴

x = 2 * 10^{-8}

Therefore, the value of 2 x 10¹⁴ is 0.00000002 times the value of 4 x 10⁶

The perimeter of a rectangular lawn is 24m. If
the area of the lawn is 35m2; how wide is the
lawn?​

Answers

Answer:

.

Step-by-step explanation:

.///////

This list shows the numbers of times a gym member visited their gym in a month.

8, 10, 2, 5, 1, 22, 16, 15, 20

What is the range of the number of gym visits?


12

20

21

22

Answers

Answer:

C:21

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

range is the difference between the lowest and highest value. 22-1=21

Solve using substitution

x-y= 6
4x+2y=36

Answers

X=6+y
4(6+y) +2y=36
24+6y=36
6y=12
Y=2
X=8

please help im literally crying i cant fail this​

Answers

Answer:

V = 189

Step-by-step explanation:

V= lwh/3 = 9·9·7/3 = 189

15) Brenda walked 12.2 miles to raise money for her local food pantry. She
collected $44.50 for each mile she walked. How much money did Brenda
raise?

Answers

Answer:

542.9

Step-by-step explanation:

Please mark brainliest

Answer:

She raised: $542.9

12.2 × 44.5 = 542.9

There are 20 pieces of fruit in a basket and 12 of them are oranges what percentage of the pieces of fruit in the basket or orange show your work in the box and circle your answer

Answers

Answer:

I have no clue good luck tho:)  

Step-by-step explanation:

None :(

I need help with this please​

Answers

The correct answer would be J
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