If m<3 =54°. find each measure.

If M&lt;3 =54. Find Each Measure.

Answers

Answer 1

Answer/Step-by-step explanation:

Given:

m<3 = 54°

m<2 = right angle

a. m<1 + m<2 + m<3 = 180° (angles in a straight line)

m<1 + 90° + 54° = 180° (substitution)

m<1 + 144° = 180°

m<1 = 180° - 144°

m<1 = 36°

b. m<2 = 90° (right angle)

c. m<4 = m<1 (vertical angles)

m<4 = 36° (substitution)

d. m<5 = m<2 (vertical angles)

m<5 = 90°

e. m<6 = m<3 (vertical angles)

m<6 = 54°

f. m<7 + m<6 = 180° (same side interior angles)

m<7 + 54° = 180° (substitution)

m<7 = 180 - 54

m<7 = 126°

g. m<8 = m<6 (alternate interior angles are congruent)

m<8 = 54°

h. m<9 = m<7 (vertical angles)

m<9 = 126°

i. m<10 = m<8 (vertical angles)

m<10 = 54°

j. m<11 = m<4 (alternate interior angles are congruent)

m<11 = 36° (substitution)

k. m<12 + m<11 = 180° (linear pair)

m<12 + 36° = 180° (substitution)

m<12 = 180° - 36°

m<12 = 144°

l. m<13 = m<11 (vertical angles)

m<13 = 36°

m. m<14 = m<12 (vertical angles)

m<14 = 144° (substitution)


Related Questions

A baseball diamond is a square with sides 90 ft long. A batter is at bat, with runners at first and second base. At the moment the ball is hit, the runner at first base runs to second base at 25 ft/s. Simultaneously, the runner on second base runs to third base at 15 ft/s. How fast is the distance between these two runners changing 2 s after the ball is hit?

Answers

Answer:

It is changing at -11 ft

Step-by-step explanation:

The distance d is given by

d = √x²+(90-y)²

We have to differentiate

dy/st = 25ft

dx/dt = -15ft

The question says after 2 seconds

Y = 25x2 = 50ft

X = -15x2 = -30ft

Then we calculate rate of change of distance. From the calculations I did, I arrived at

(1/2√900+1600).[900-2000]

= -1100/2x50

= -1100/100

= -11ft

Please check attachment to help you understand the answer better as it is more detailed.

The distance between these two runners changing 2 s after the ball is hit 11 ft

What is differentiation?

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

A baseball diamond is a square with sides 90 ft long.

A batter is at bat, with runners at first and second base.

At the moment the ball is hit, the runner at first base runs to second base at 25 ft/s.

Simultaneously, the runner on second base runs to third base at 15 ft/s.

The distance d is given by

[tex]\rm d = \sqrt{x^{2} +(90-y)^2}[/tex]

We have to differentiate

[tex]\rm \dfrac{dy}{st} = 25 \ ft\\\\\dfrac{dx}{dt} = -15 \ ft[/tex]

The question says after 2 seconds

[tex]\rm Y = 25x ^2 = 50 \ ft\\\\X = -15x^2 = -30 \ ft[/tex]

Then we calculate the rate of change of distance will be

[tex]\rm \dfrac{1 }{2\sqrt{900 + 1600}} * (900 - 2000) = \dfrac{-1100}{2*50} = \dfrac{-1100}{100} = -11\ ft[/tex]

More about the differentiation link is given below.

https://brainly.com/question/24062595

help needed please answer asap

Answers

3 hours
4,300-700=3,600
She can type 20 word per minute
20 times 60= 1,200 times 3= 3,600

A rectangular piece of land has an area of 3/4 square mile.The land is 2 1/2 miles long what is its width

Answers

Answer:

width = 3/10 mi

Step-by-step explanation:

area = length * width

width = area/length

width = (3/4 mi^2)/(2 1/2 mi)

width = (3/4 mi^2)/(5/2 mi)

width = 3/4 * 2/5 mi

width = 6/20 mi

width = 3/10 mi

What are the values for a and b?

Answers

Answer:

a= 10 b= 6

Step-by-step explanation:

When multiplying exponents they should be added together and when dividing they should be subtracted from each other.

2+8=10 & 10-4= 6

Ddghhhdww a12:-689fggggfa ehh

Bond X is a premium bond making semiannual payments. The bond pays a coupon rate of 9 percent, has a YTM of 7 percent, and has 13 years to maturity. Bond Y is a discount bond making semiannual payments. This bond pays a coupon rate of 7 percent, has a YTM of 9 percent, and also has 13 years to maturity. The bonds have a $1,000 par value.



What is the price of each bond today? If interest rates remain unchanged, what do you expect the price of these bonds to be one year from now? In three years? In eight years? In 12 years? In 13 years?

Answers

Answer:

Bond X

current market price:

PV of face value = $1,000 / (1 + 3.5%)²⁶ = $

PV of coupon payments = $45 x 16.89035 (PV annuity factor, 3.5%, 26 periods) = $760.07

current market price = $408.84 + $760.07 = $1,168.91

price in 1 year:

PV of face value = $1,000 / (1 + 3.5%)²⁴ = $437.96

PV of coupon payments = $45 x 16.05837 (PV annuity factor, 3.5%, 24 periods) = $722.63

market price = $437.96 + $722.63 = $1,160.59

price in 3 years:

PV of face value = $1,000 / (1 + 3.5%)²⁰ = $502.57

PV of coupon payments = $45 x 14.2124 (PV annuity factor, 3.5%, 20 periods) = $639.56

market price = $502.57+ $639.56 = $1,142.13

price in 8 years:

PV of face value = $1,000 / (1 + 3.5%)¹⁰ = $708.92

PV of coupon payments = $45 x 8.31661 (PV annuity factor, 3.5%, 10 periods) = $374.25

market price = $708.92 + $374.25 = $1,083.17

price in 12 years:

PV of face value = $1,000 / (1 + 3.5%)² = $933.51

PV of coupon payments = $45 x 1.89969 (PV annuity factor, 3.5%, 2 periods) = $85.49

market price = $933.51 + $85.49 = $1,019

price in 13 years:

market price = $1,000 + $45 = $1,045

Bond Y

current market price:

PV of face value = $1,000 / (1 + 4.5%)²⁶ = $318.40

PV of coupon payments = $35 x 15.14661 (PV annuity factor, 4.5%, 26 periods) = $530.13

current market price = $318.40 + $530.13 = $847.53

price in 1 year:

PV of face value = $1,000 / (1 + 4.5%)²⁴ = $347.70

PV of coupon payments = $35 x 14.49548 (PV annuity factor, 4.5%, 24 periods) = $507.34

market price = $347.70 + $507.34 = $855.04

price in 3 years:

PV of face value = $1,000 / (1 + 4.5%)²⁰ = $414.64

PV of coupon payments = $35 x 13.00794 (PV annuity factor, 4.5%, 20 periods) = $455.28

market price = $414.64+ $455.28 = $869.92

price in 8 years:

PV of face value = $1,000 / (1 + 4.5%)¹⁰ = $643.93

PV of coupon payments = $35 x 7.91272 (PV annuity factor, 4.5%, 10 periods) = $276.95

market price = $643.93 + $276.95 = $920.88

price in 12 years:

PV of face value = $1,000 / (1 + 4.5%)² = $915.73

PV of coupon payments = $35 x 1.87267 (PV annuity factor, 4.5%, 2 periods) = $65.54

market price = $915.73 + $65.54 = $981.27

price in 13 years:

market price = $1,000 + $35 = $1,035

Based only on the given information, it is guaranteed that AD = DB

Answers

Answer: True

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

There are 400 boys at Oak Middle school and 12% play football. What is a reasonable number of boys that play football?

Answers

400 is the total number of boys so 12% of 400 would be 48 boys

400*12/100= 48

Answer:

About 48 students play football

Step-by-step explanation:

400 times 12% is 48

pls help:( i’ll mark brainlest!

Answers

Answer:

[tex]\sqrt{26}[/tex]

Step-by-step explanation:

The Sweet Shoppe sells a half-dozen cupcakes for $16.50. The Cupcake Factory sells a dozen cupcakes for $30.00. Jameska purchases two cupcakes from each shop. What is the difference in the purchases?

The difference in the purchases is $
.

Answers

Answer:

$1.50

Step-by-step explanation:

The cost of half of dozen of cupcakes at Sweet Shoppe = $16.50.

The cost of a dozen cupcakes at Cupcake factory = $30.00. Therefore the  cost of half a dozen cupcakes at Cupcake factory = $30.00 / 2 = $15.00

The difference in purchases =  cost of half a dozen cupcakes at Sweet Shoppe - cost of half of dozen of cupcakes at cupcake factory

The difference in purchases = $16.50 - $15.00 = $1.50

This means that their is a difference of $1.50 for half a dozen cupcakes between the Sweet Shoppe and cupcake factory.

How much smaller is x−3 than x+4?

Answers

Answer: bsf google

Step-by-step explanation: go to google look it up and find the answer

Answer:

x-3

Step-by-step explanation:

It's x-3 because if you put 12-3 it will be 9 but if you add x+4 it will be 16

Find the remainder when
f(x) = 8x^3 + 4x^2 – 13x + 3

is divided by 2x + 5.

A. 1241/125

B. -129/2

C. 69/125

D. 183

Answers

Dividing f(x) by 2x + 5 leaves the same remainder as division by x + 5/2. By the remainder theorem, it is equal to f (-5/2), so the remainder here is

f (-5/2) = 8 (-5/2)³ + 4 (-5/2)² - 13 (-5/2) + 3 = -129/2

0.8 kg is more or less than 0.6 kg

Answers

Answer:

More than

Step-by-step explanation:

Answer:

More

Step-by-step explanation:

Plizzz helppp I don't know how to do it helpp​

Answers

Answer:

Lol I'll help you. So for the 1st problem, you need to subtract 7x from 4x but if your looking for and answer then x=2. For the 2nd problem subtract 3x-5x and 7 + 9 which brings you to -2x - 16 which means you would have to find x in this problem which means x has to be a negative. The negative answer is x= -32 since a negative x a negative is a positive. Which brings you to 16-16 and then 0. For the third one, you need to change the problem. Turn it into 5x - x = 4 + 8 which brings you to 4x = 12 making x =3. and for number 4 you need do the same as we just did and do 11x - 6x - 3x and then do 20 - 6 which brings you to 2x = 14 which makes  x=7.

Step-by-step explanation:

Oh yeah I guess you can get me some stuff to get me some food lol I love it

What is 3/100 - 1/50 equal?

Answers

Answer:

0.01?

Step-by-step explanation:

16. Which one of the following mathematical statements is true?
O A. 28 – 0 = 0
Ca
MG3
OB. 0 - 28 = 0
O C. 28 + 0 = 0
7
O D. 28 = 0 = 0

Answers

Answer:

the answer is A

Step-by-step explanation:

because the other is in a wrong expression

Option A
Hope it will help you

34 full. He uses 16 of a full tank’s gas per day driving to and from work.

How many days can Drew drive to work with the gas he has in the tank?

Answers

He can go one day with the gas he has

In a study by Peter D. Hart Research Associates for the Nasdaq Stock Market, it was
determined that 20% of all stock investors are retired people. In addition, 40% of all U.S. adults invest in mutual funds. Suppose a random sample of 25 stock investors is taken What is the probability that fewer than 4 are retired people

Answers

Answer:

a) 0.1108

(b) 0.0173

Step-by-step explanation:

We are given that 20% of all stock investors are retired people. A random sample of 25 stock investors is taken.

Firstly, the binomial probability is given by;

where, n = number of trails(samples) taken = 25

r = number of successes

p = probability of success and success in our question is % of

retired people i.e. 20%.

Let X = Number of people retired

(a) Probability that exactly seven are retired people = P(X = 7)

P(X = 7) =

= = 0.1108

(b) Probability that 10 or more are retired people = P(X >= 10)

P(X >= 10) = 1 - P(X <= 9)

Now, using binomial probability table, we find that P(X <= 9) is 0.98266 at n = 25, p = 0.2 and x= 9

So, P(X >= 10) = 1 - 0.98266 = 0.0173.

$75 dinner; 18% tip
Explained step by step pls

Answers

Answer: $13.50

Step-by-step explanation:

Answer:

$13.5

Step-by-step explanation:

Everything you do is multiply 75 by 0.18 ( 0.18 represents 18%)

which gives you 13.5, so the tip would be $13.50

57
(c)
=

Find the following inverse of the function.

Answers

Answer:

Can you format this a little better?

The base area of a right circular cone is 1/4 of its total surface area. What is the ratio of the radius
to the slant height?

Answers

Given:

The base area of a right circular cone is [tex]\dfrac{1}{4}[/tex] of its total surface area.

To find:

The ratio of the radius  to the slant height.

Solution:

We know that,

Area of base of a right circular cone = [tex]\pi r^2[/tex]

Total surface area of a right circular cone = [tex]\pi rl+\pi r^2[/tex]

where, r is radius and l is slant height.

According to the question,

[tex]\pi r^2=\dfrac{1}{4}(\pi rl+\pi r^2)[/tex]

Multiply both sides by.

[tex]4\pi r^2=\pi rl+\pi r^2[/tex]

[tex]4\pi r^2-\pi r^2=\pi rl[/tex]

[tex]3\pi r^2=\pi rl[/tex]

Cancel out the common factors from both sides.

[tex]3r=l[/tex]

Now, ratio of the radius  to the slant height is

[tex]\dfrac{r}{l}=\dfrac{r}{3r}[/tex]

[tex]\dfrac{r}{l}=\dfrac{1}{3}[/tex]

Therefore, the ratio of the radius  to the slant height is 1:3.

Point A is located at negative 6 over 8 and point B is located at negative 1 over 8. What is the distance between points A and B? negative 6 over 8 plus negative 1 over 8 = negative 7 over 8; therefore, the distance from A to B is absolute value of negative 7 over 8 equals negative 7 over 8 units negative 6 over 8 plus negative 1 over 8 = negative 7 over 8; therefore, the distance from A to B is absolute value of negative 7 over 8 equals 7 over 8 units negative 6 over 8 minus negative 1 over 8 = negative 5 over 8; therefore, the distance from A to B is absolute value of negative 5 over 8 equals negative 5 over 8 units negative 6 over 8 minus negative 1 over 8 = negative 5 over 8; therefore, the distance from A to B is absolute value of negative 5 over 8 equals 5 over 8 units

Answers

Given:

Point A is located at [tex]-\dfrac{6}{8}[/tex].

Point B is located at [tex]-\dfrac{1}{8}[/tex].

To find:

The distance between points A and B.

Solution:

We know that,

Distance between points A and B = Location of A - Location of B

Using this given values, we get

Distance between points A and B [tex]=-\dfrac{6}{8}-\left(-\dfrac{1}{8}\right)[/tex]

                                                        [tex]=-\dfrac{6}{8}+\dfrac{1}{8}[/tex]

                                                        [tex]=\dfrac{-6+1}{8}[/tex]

                                                        [tex]=-\dfrac{5}{8}[/tex]

Distance cannot be negative. So, we need to find the absolute value of [tex]-\dfrac{5}{8}[/tex].

[tex]|-\dfrac{5}{8}|=\dfrac{5}{8}[/tex]

The distance between A and B is [tex]\dfrac{5}{8}[/tex].

Therefore, the correct option is D.

A line passes through (2, 7) and has a slope of -4. What is its equation in point-slope form?


Sorry I'm bad

Answers

Answer:

y= (-4/1)x -1

Step-by-step explanation:

Samantha estimates the product of 925 x 38 as 36,000. Without computing the exact answer, is her estimate reasonable? Explain

Please help ASAP

Answers

it is 678887775555 free points

Video games made up 77.8% of the total revenue for a small specialty store.
A) 0.0778 B) 7.78 C) 77.8
D) 0.778
Timod at home while attending classes

Answers

Answer:

D

Step-by-step explanation:

This is saying 77.8% percent out of 100, therefore we right it like D

I hope this helped, please mark Brainliest, thank you!

Can you help me i wil give you a branlist and please help me

Answers

Answer:

i love free points dont you

Since there are no exponents in this problem, the next step is
✔ (- 2)2.2
.
Simplify the previous step and you get
.
The final answer is

Answers

If the check mark is a square root the next step is -2 x 2.2

Anwers:

22    is the answer

Determine the intercepts of the line.
Y-intercept(__ , __)
X-intercept(__,__)

Answers

Answer:

Y-intercepts: (0,6)

X-intercepts: (8,0)

Answer:

Y-intercept: (0,-6)

X-intercept: (-8,0)

Step-by-step explanation:

In order to find an intercept, you have to know the difference in the two axis. The intercept is just where the plot line hits the axis. On the top, left side, you can see that the blue line his the black x-axis at -8 over to the right but it doesn't mover down. This means the x-intercept hits at (-8,0). On the upper, right side, you can see that the blue line his the black y-axis by not moving sideways, but it does go -6 down. This means that the y-intercept would be (0,-6).

Question
An amount of $290,000 is borrowed for a period of 25 years at an interest rate of 4%. The amortization schedule for this
loan is below. Payments of $1,530.73 are made monthly.
Payment #
1
2
Payment Interest
1,530.73 966.67
1, 530.73964.79
1.530.73 962.90
Debt Payment
564.06
565.94
567.83
Balance
289, 435.94
288, 870.00
288, 302.17
3
4
X
5
Calculate x,the balance on the loan at the end of month 4. Give your answer to the nearest dollar. Do not include commas
or the dollar sign in your answer.
Provide your answer below:

Answers

The Answer is

$287732

I wish you all the best of luck

You are creating bracelets and then selling them to your friends at a 85% markup rate. If it costs you $1.80 to create the bracelet, how much of a markup will you add to the bracelet?

Answers

Answer:

you will add $1.53 to every bracelet you make

Step-by-step explanation:

figure out what 85 percent of 1.80 is and then add that to 1.80 for the total price

85% x 1.8 = 1.53 (markup ammount)

1.80 + 1.53 = 3.33 (total cost)

If sqrt 16 = x, then x2 =

Answers

Answer:

The square root of 16=4, 4x2=8, x2=8.

Step-by-step explanation:

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