Given the following diagram, find the missing measure. m 4 = 2x°, m 2 = (4/3)x°, m 3 = 20°, find x. 10 30 20 60

Answers

Answer 1

Answer:

B. 30 degrees

Step-by-step explanation:

Find the diagram attached

From the diagram:

Interior angles are m<3 and m<2

Exterior angle = <4

using the rule that says that the sum of interior angles is equal to the exterior angle we have:

m<2+m<3 = m<4

(4/3)x°+20 = 2x°

multiply through by 3:

4x° + 60 = 6x°

4x°-6x° = -60

-2x° = -60

x°= -60/-2

x° = 30°

Hence the value of x is 30 degrees

Given The Following Diagram, Find The Missing Measure. M 4 = 2x, M 2 = (4/3)x, M 3 = 20, Find X. 10 30

Related Questions

evaluate daw ito

9x2+25, for x = 1/3

Answers

Answer:

25

Step-by-step explanation:

9×(1/3)²+25=9×1/9+25=25

I can’t tell if that’s X squared or not. So if it’s not
Then the answer would be 31.
9(1/3)

If it is a squared then the answer will be 25.

idk what to do can you please help me​

Answers

Answer:yea sure but I don’t see anything there

Step-by-step explanation:

Maribel has $1.25 in her pocket. The money is in quarters and dimes. There are a total of 8 coins. How many quarters and dimes does Maribel have in her pocket?

Answers

Answer:

would that be 10

Step-by-step explanation:

Find each missing angle measure
3=
4=

Answers

Answer:

<4 = 88

<3 = 92

Step-by-step explanation:

The sum of the angles of a triangle is 180

<4 + 45+ 47 = 180

<4 + 92 = 180

< 4 = 180-92

<4 = 88

We know the <3 and <4 form a line

<3 + <4 = 180

<3 + 88 = 180

< 3 = 180-88

<3 = 92

The sales tax in your city is
4.4% and an item costs
$3 before tax.
How much tax would you pay on that item?
Round to the nearest hundredth or cent.

Answers

Answer:

$0.13

Step-by-step explanation:

To find how much tax you would pay, find 4.4% of 3:

3(0.044)

= 0.132

Round to the nearest hundredth:

0.132

= 0.13

So, you would pay $0.13 in tax

what is –1 + (–11) and how do you solve

Answers

Answer:-12

Step-by-step explanation:

When adding if both are negatives just add and when your done add the negative symbol.

Answer: the answer is 12

Step-by-step explanation:

cause i think it goes like a negative plus  a negative is a positive

a weights m kg,b weight is 20 kg less than three times that of a. If their total weight is 100 kg. Find the weight of a​

Answers

Answer:

30kg

Step-by-step explanation:

what we know is that 3a - 20kg is b. and if a + 3a -20kg = 100kg, it becomes algebra .

So, we move it over to the sides:

4a = 120kg

(here i moved -20kg to the 100kg and did the reverse. I also added the a's)

which means a = 120kg divided by 4

a = 30kg

Solve each of the following equations

Answers

Answer:

a. x = 10

b. x = 3/5

c. x = 16

d. x = 21/32

Step-by-step explanation:

For all of these problems, it would be simpler to get rid of the fractions entirely and to do that you need to multiply each part of the equation by the least common denominator (LCD; the first a number or variable that both of the denominators can be divided evenly by((you get it by multiplying the denominators by that number/variable (8*1, 8*2,8*3, etc.) and stop until both denominators are the same)) of what you're adding in this case.Note that if the denominators that you're adding are the same then you just multiply everything by that.Also note that the LCD's do not replace the denominators pf the original equation! Simply multiply the numerators by the LCD and then solve the problem accordingly!

a - 2x/3 + (x+3)/3 = 11

For this case, the least common denomimator is 3. Multiply everything by 3. This leaves 2x + x+3 = 33. Combine like terms. 3x+3 =33 Subtract 3 from 33, leaving 30 and finally divide 30 by 3x to get 10, your answer.

b - 3/x + 6/x = 15

Multiply everything by x. This leaves 3 + 6 = 15x. Combine Like Terms so 9 = 15x. Divide 9 by 15, leaving x to be 9/15, or 3/5 when simplified (both 9 and 15 can be divided by 3).

c - x/2 + x/8 = 10

In this case, the LCD is 16. So multiply everything by 16, leaving 16x/2 + 16x/8 = 160. Simplify, leaving 8x + 2x = 160. Combine like terms, so 10x = 160. Divide 160 by 10, leaving you with 16.

d - 4/x + 5/4x = 8

The LCD isn't always going to be a number as seen here and in b, but they were the same as if it were a number. Here the LCD is 4x so multiply everything by 4x. This leaves you with 16x/x +20x/4x = 32x. Simplify accordingly, leaving you with 16 (x variables cancel) + 5 =32x. Simplify yet again, leaving 21 = 32x. Divide 21 by 32, leaving you with 21/32 as your answer (the answer can't be simplified further).

Apologies for the long explanations--it's not something I do very well.

Help immediately!!!!! What is the average rate

Answers

Answer:

the average rate of change is 4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

1. Information

Another word for the average rate of change is the slope. The question is essentially asking, what the slope is over the interval of [3, 4]. Hence, one will use the following points, that are on this given function;

(3, -5), (4, -1)

One must also know that the formula for slope is;

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

2. Solving

Input the given points into the formula and solve.

[tex]\frac{(-1)-(-5)}{(4)-(3)}[/tex]

[tex]\frac{-1+5}{1}[/tex]

[tex]\frac{4}{1}[/tex]

4

At a farm, the ratio of cows to horses was 1:3. If there were 6 cows at the farm, how many horses were there?

Answers

Answer:

there was 18 horses

Step-by-step explanation:

uhh multiplication

Answer:

18 horses

Step-by-step explanation:

i dont have an explanation

The diagram shows a 9cm x 7cm rectangle-based pyramid. all the diagonal sides - TA, TB, TC, AND TD- are length 12cm. M is the midpoint of the rectangular base.
Work out angle TAC, to 1 decimal place.

Answers

Answer:

∠TAC is approximately equal to 61.6°

Step-by-step explanation:

The given parameters for the pyramid are;

The dimension for the rectangular base are; Length = 9 cm, width = 7 cm

The length of the diagonal sides, TA, TB, TC, and TD = 12 cm each

The midpoint of the rectangular base = Point M

The diagonal AC = AM + MC

AM = MC as given M is the midpoint of the rectangular base

∴ AC = AM + MC = 2·AM

By Pythagoras' theorem, AC = √(9² + 7²) = √130

AC = √130 cm

∴ AM = AC/2 = (√130)/2 cm

Alternatively, AM = √((9/2 cm)² + (7/2 cm)²) = √(32.5) cm

∠TAC = ∠TAM

By trigonometric ratios, we have;

[tex]cos (\theta) = \dfrac{Length \ of \ adjacent \ side \ to \ angle }{Length \ of \ hypotenuse\ side \ to \ angle}[/tex]

[tex]\therefore cos (\angle TAM) = cos (\angle TAC) = \dfrac{\left (\dfrac{\sqrt{130} }{2} \right )}{12} = \dfrac{\sqrt{130} }{2 \times 12} = \dfrac{\sqrt{130} }{24}[/tex]

[tex]\angle TAC = arccos \left ( \dfrac{\sqrt{130} }{24} \right ) \approx 61.6 ^{\circ} \ to 1 \ decimal \ place[/tex]

The measure of angle TAC is 61.6 degrees

The given parameters are:

[tex]\mathbf{AB = 7}[/tex]

[tex]\mathbf{BC = 9}[/tex]

Start by calculating length AC, using the following Pythagoras theorem.

[tex]\mathbf{AC = \sqrt{AB^2 + BC^2}}[/tex]

So, we have:

[tex]\mathbf{AC = \sqrt{7^2 + 9^2}}[/tex]

[tex]\mathbf{AC = \sqrt{49 + 81}}[/tex]

[tex]\mathbf{AC = \sqrt{130}}[/tex]

[tex]\mathbf{AC = 11.40}[/tex]

Next, we calculate side length AM

[tex]\mathbf{AM = \frac{AC}{2}}[/tex]

So, we have:

[tex]\mathbf{AM = \frac{11.40}{2}}[/tex]

[tex]\mathbf{AM = 5.70}[/tex]

The measure of angle TAC is calculated using the following cosine ratio

[tex]\mathbf{cos(A)= \frac{AM}{TA}}[/tex]

So, we have:

[tex]\mathbf{cos(A)= \frac{5.70}{12}}[/tex]

[tex]\mathbf{cos(A)= 0.475}[/tex]

Take arc cos of both sides

[tex]\mathbf{A= 61.6}[/tex]

Hence, the measure of angle TAC is 61.6 degrees

Read more about pyramids at:

https://brainly.com/question/15591430

how do i solve for x

Answers

Answer:

wdym

Step-by-step explanation:

Answer:

x = −8

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

(x + x)  + (75 +53 + 68) = 180 (Combine Like Terms)

2x + 196 =180

Step 2: Subtract 196 from both sides.

2x + 196 − 196 = 180 −196

2x = −16

Step 3: Divide both sides by 2

x = -8

Hope this helps!!!

It is worked out that if 4 ladles full of soup are given to each person,
160 people can be fed.
The customers have complained in the past that the portions are too small.
The cook decides to give 5 ladles full of soup to each person.
How many people can now be fed soup

Answers

Answer:

128 people

Step-by-step explanation:

160 people multiplied by 4 ladles per person equal 640 ladles in total

640 ladles divided by 5 ladles each equals 128 people

Which function is graphed at the right ?

Answers

Answer:

2. G)-11

3. C

4) F. y=1/2x+2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Remark

The easiest way to do this is to take the two intercepts (x  and   y)

x intercept: (-4,0)

y intercept: (0,2 )

Givens

y2 = 2

y1  = 0

x2 = 0

x1 = - 4

Equation

m = (y2 - y1)/(x2 - x1)

Solution

m = (2 - 0)/(0 - - 4)

m = 2/4 = 1/2

Find b

y = mx + b

y = 2

x = 0

2 = 1/2x +  b

2 = 1/2*0 + b

b = 2

Answer

y = 1/2 x  + 2

Karen will divide her garden into equal parts. She will plant corn in 12 20 of the garden. What is the fewest number of parts she can divide her garden into?

Answers

Given that,

Karen will divide her garden into equal parts. She will plant corn in 12/20 of the garden.

To find,

The fewest number of parts she can divide her garden into.

Solution,

It is mentioned that she will plant corn in 12/20 of the garden.

If we divide both numerator and denominator by 4, it will become:

[tex]\dfrac{12/4}{20/4}=\dfrac{3}{5}[/tex]

It means the fewest number she can divide her garden into is 4. 3/5 part is planted with corn and rest 2/5 is not planted with corn plant.

Help me out!
Identify the function that reflects f(x) = 14x^3 − 7x^2 + 6 across the y-axis and shifts it 6 units up.
1: h(x) = 14x^3 − 7x^2
2: h(x) = −14x^3 − 7x^2 + 12
3: h(x) = 14x^3 + 7x^2 + 12
4: h(x) = −14x^3 − 7x^2

Answers

Answer:

[tex]\boxed 3 \: h(x) = 14 {x}^{3} - 7 {x}^{2} + 12[/tex]

HELP, i’m not the best in math... will give brinley. SHOW WORK.

3x^2-5x+5y-4+12x

Answers

Answer:

 simplified: 3x^2+7x+5y-4

Step-by-step explanation:

all you gotta do is you add -5x and 12x

Please, need this ASAP!!!

Answers

I have only solved (a) question as I don’t have time

Help... it’s multiple choice math

Answers

Answer:

D

Step-by-step explanation:

This is equivalent to t < 4.

clearly this is not part of the set.

Lin's job pays $8.25 an hour plus $10 of transportation allowance each week. She has to work at least 5 hours a week to keep the job, and can earn up to $175 per week (including the allowance). 1. Represent this situation mathematically. If you use variables, specify what each one means and how many hours per week can Lin work? explain or show reasoning ​

Answers

Y=8.25x+10

10 is the allowance plus the 8.25 times x which is the hours

PLEASE HELP FAST FIND THE DOMAIN AND RANGE OF EACH GRAPH ILL GVIE 30 POINTS!

Answers

Answer:

1. domain (-3,5] range (3,4]

2. domain [-2,4] range [5,4]

3. domain (1,4) range (-1,-4)

Step-by-step explanation:

im in algebra two so you can trust my answer. happy holidays and stay safe!

Step-by-step explanation:

1).domain [-3,5)

range( -4,3]

2)domain[-2,4)

range:[-2,5)

3) domain[1,4]

range [-4,-1]

During Sonia’s trip across the country, she traveled 2,905 miles. Her trip took her 7 days to complete. How many miles did Sonia drive in 5 days?

Answers

Answer: 2075

Step-by-step explanation:

Sonia traveled 2905 miles in 7 days

2905/7=415 miles/day

415*5=2075 miles

If AABC = ADEC,
LC = 55°, ZD = 65°, and ZB = 2x
D
С
В B.
x = [?]

Answers

Answer:

x = 30

Step-by-step explanation:

65 + 55 = 120

angle B must equal 60

angle B is labeled as 2x

set up equation to solve for 'x':  2x = 60

                                                     x = 30

add up all angles to make sure you get 180 degrees

Complete the equation of the line through (1,4) and (2,2)

Use exact numbers.

Answers

Slope is (2-4)/(2-1)= -2
y- intercept: 2=-2(2)+b
2+4=b
b= 6
Equation: y=-2x+6

Hope this helpful :)

PLEASEEE SOMEBODY HELP MEEEE PLEASE BRAINLY IF CORRECT!!!!!!
Which type of movement of Earth's crust caused these layers to be higher in
the background than they are in the foreground?
A. Shearing
B. Uplift
C. Compression
D. Vibration

Answers

Answer:

i'm not entirely sure but taking an educated guess, id say uplift

Step-by-step explanation:

Can someone help me with Question 2? 4a 3(a 2) = 2(3a 2)

Answers

Answer:

6a + 2

Step-by-step explanation:

2 ×3a = 6a 2×2 = 4

it gives 6a + 4

(If this is wrong, it would be better to attach an image)

Answer correctly thanks a lot.

Answers

Answer:

-6

Step-by-step explanation:

What is the first step in solving this problem 4/5 + 1/2

Answers

divide or convert the terms into a similar denominator. dividing is easier tho

your answer is 1.3

hope this helps :)
brainliest?

The first step is to make the fractions have a common denominator. It can be achieved by finding the LCM (Lowest common multiple) of the fractions denominators

From the question,

The given expression is 4/5 + 1/2

This can be written properly as

[tex]\frac{4}{5}+\frac{1}{2}[/tex]

In solving the problem, the first step is to make the fractions have a common denominator. This can be achieved by finding the LCM (Lowest common multiple) of their denominators (that is, 5 and 2)

The LCM of 5 and 2 is 10

If we were to solve the equation, we will get

[tex]\frac{4}{5}+\frac{1}{2}[/tex]  = [tex]\frac{2(4) + 5(1)}{10}[/tex]

Hence, the first step is to make the fractions have a common denominator. It can be achieved by finding the LCM (Lowest common multiple) of the fractions denominators.

Learn more here: https://brainly.com/question/15725790

Mohammad divide Rs 82000 into two parts such that the amounts at 5% per annum compound interest in 2 years and 3 years are equal respectively.How much amount does he divide?

Answers

Answer:

Rs 42000 and Rs 40000

Step-by-step explanation:

Given that Rs 82000 is divided into two parts.

Let the first part be Rs x which is compounded annually at the interest of 5% per annum for 2 years.

The rate of interest = 5%=0.05

The total amount after 2 years [tex]= x(1+0.05)^{2}\cdots(i)[/tex]

The other part is Rs 82000-x which is compounded annually at the interest of 5% per annum for 3 years.

The total amount after 3 years [tex]= (82000-x)(1+0.05)^{3}\cdots(ii)[/tex]

As both the amounts are equal, so from equation (i) and (ii)

[tex]x(1+0.05)^{2}=(82000-x)(1+0.05)^{3} \\\\x(1.05)^{2}=82000(1.05)^{3} -x(1.05)^{3} \\\\x(1.05^2+1.05^3)=82000\times 1.05^3 \\\\x(2.260125)=94925.25 \\\\x=94925.25/2.260125 \\\\[/tex]

x= 42000

And the other part = 82000-42000 = Rs 40000

Hence, he divides the money as

Rs 42000 at 5% per annum compound interest in 2 years and

Rs 40000 at 5% per annum compound interest in 3 years.

x ÷ 7 + 1 = 5 find the value of x​

Answers

Answer:

28

Step-by-step explanation:

x/7+1=5

-1       -1

x/7=4

x/7*7=4*7 ( do the inverse operation to get rid of 7, which is multiplication)

x=28

Answer:

x=28

Step-by-step explanation:

x÷7+1=5

Firstly,

Group like terms

x÷7=5-1

x÷7=4

Secondly,

So now 7 will cross the equal sign

x=4×7

We have ×7 because when a number number with a division sign crosses an equal sign it becomes multiplication.

x=28

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