Mathematics High School

The angle measurements in the diagram are represented by the following expressions

Answers

Answer 1

Answer:

∠ B = 45°

Step-by-step explanation:

∠ A and ∠ Bare alternate exterior angles and are congruent , then

5x - 15 = 2x + 21 ( subtract 2x from both sides )

3x - 15 = 21 ( add 15 to both sides )

3x = 36 ( divide both sides by 3 )

x = 12

Then

∠ B = 2x + 21 = 2(12) + 21 = 24 + 21 = 45°

Related Questions

I need help plz it’s for school plz plz

Answers

Answer:

y = 3x + 1

Step-by-step explanation:

plz help i will give brainiest
Graph the arithmetic sequence -1,-3,-5,-7,

Answers

Answer:

going up by 2 numbers

Step-by-step explanation:

Going up by -2 for example from 1 to -1 you are go up by -2

For a school fund raising project, Aiden and Jacob collected money in the ratio 3.5;6.8. Jacob collected $115.50 more than Aiden. Find the total amount of money they collected

Answers

Answer:

Step-by-step explanation:

x+6=0
3x-2y = 10
simultaneous equations

Answers

X=-6
3(-6)-2y=10
-18-2y=10
2y=10+18
2y=28
Y=28/2
Y=14

X+6=0
X=0-6
X=-6
3x-2y=10
2y=3x-10

What is 3.468 rounded to the nearest tenth of an ounce?

Answers

Answer:

3.5

Step-by-step explanation:

The tenths place would be 0.1

So in 3.468 the 4 is in the tenths place

Look at the number to the right of it, if it is greater than 5 you round up and if it is 4 or lower you stay the same.

For 3.468 you would round up

So you would have 3.5

Have A GREAT day man

Sincerly, lipor

what does n mean in -10(n-5)=40

Answers

Distribute -10
-10n - 50 = 40
Add 50 to both sides
-50 + 50 would cancel
- 50 + 40 = -10
Divide by -10
-10/-10 = 1
N=1

Answer:

Divide both sides by -10

-10n+2=40

subtract 2 from both sides so

40-2=38

10n/10= 38/10

3.8 = n

Step-by-step explanation:

Angie and her friends are heading to the Glacier Heights snow park. They plan to purchase the Glacier group package, which costs $76 for 8 people. That's $2 less per person than the normal cost for an individual. What is the normal cost for an individual?

Answers

Answer

The normal cost would be $11.50

Number Explanation

1) 76 ÷ 8 = 9.5

2) 9.5 + 2 = 11.5 or 11.50

Word Explanation

First, I divided the total cost 76 by the number of people 8, to find out how much it costs per person. I got 9.5! Next, I added 2 to 9.5 because in the problem it said this is $2 less than the normal cost per person. I got 11.5! That was my answer.

Tom walks 3.14 km to the park. He then walks a further 670 m to the shop.
How many km has Tom walked in total?

Answers

Answer:

3.81 km

Step-by-step explanation:

You first have to get the meters into kilometers. The conversion rate for this is 1 meter = 0.001 kilometer.

So multiply 670 by 0.001 which gives you 0.67.

Then add this to the amount he has already walked to get the total amount of kilometers he has walked.

Answer:

3.81 or

[tex]3 \frac{81}{100} [/tex]

Step-by-step explanation:

explanation above

Please help! It's a quiz and I can't check the answer so it needs to be correct!!!

Answers

Answer:

the answer is jesus asdlkfjsfs

Jada's grandparents started a savings account for her in 2010. The table shows the
amount in the account each year.
year
amount in dollars
2010
600
2012
750
2014
900
2016
1050
If this relationship is graphed with the year on the horizontal axis and the amount in
dollars on the vertical axis, what is the vertical intercept?

Answers

I need help on this one tooo

the initial number of bacteria in a culture is 12,000. the xulture doubles each day write an exponential functin to model the population Y of bacteria after X days Which will be used to determine how many bacteria are present after 15 days

Answers

Answer:

Step-by-step explanation:

The equation would be y=12000(2)ˣ.

This equation is of the form y=a*bˣ, where a is the initial population and b is the rate that it increases by. In this problem, a = 12000 and b=2, since it doubles each time.

brainlest

I have to do the evens- I was out due to epilepsy and have no clue what I'm doing
Worth 50 points

Answers

Step-by-step explanation:

I'm assuming your solving for [tex]x[/tex]

Picture 2.

For this one since the two sides are equal

[tex]2x-12=12\\2x=24\\x=12[/tex]

Picture 4.

We can use the Pythagorean theorem for this one, which is [tex]a^2+b^2=\sqrt{c}[/tex]

[tex]4\cdot4=16\\3\cdot3=9\\16+9=25\\\sqrt{25}=5[/tex]

[tex]x=5[/tex]

Picture 6.

We can use the Pythagorean theorem for this one, which is [tex]a^2+b^2=\sqrt{c}[/tex]

[tex]6\cdot6=36\\9\cdot9=81\\36+81=117\\[/tex]

[tex]\sqrt{117}=approximately[/tex] [tex]10.81[/tex]

Picture 8.

[tex]EG=6[/tex]

Since half of [tex]EG[/tex] is [tex]3[/tex]

[tex]3\cdot2=6[/tex]

[tex]EG=6[/tex]

Brainliest, please :)

will give brain for right answer

Answers

Answer:

luna

Step-by-step explanation:

compare the y values when x=0. looking at the table, gracey was 1 lb at week 0, and looking at the graph, Luna was 2 lbs at week 0 (y-intercept) so luna was heavier at birth

fill in the blanks ANGLES (I WILL GIVE BRAINLIEST! PLS HELP!)

refer to attachment for question

Answers

Answer:

See below

Step-by-step explanation:

If two triangles are congruent, then the corresponding sides and angles are congruent with each other.

Given:

ΔRED ≅ ΔSUN

The following are congruent parts:

∠E ≅ ∠URE ≅ SU∠DRE ≅ ∠NSU∠R ≅ ∠S

Note Pay attention to order of vertices when comparing the congruent parts

[tex]\\ \sf\longmapsto <E\cong <U[/tex]

[tex]\\ \sf\longmapsto \overline{RE}=\overline{SU}[/tex]

[tex]\\ \sf\longmapsto ∆DRE=∆SUN[/tex]

[tex]\\ \sf\longmapsto <R\cong <S[/tex]

Hope it helps

Simplify the following expression.

-14 × 3

A.
-42

B.
-56

C.
42

D.
-17

Answers

Answer:

The answer would be A. -42

You jog 2 kilometers in 12 minutes. Your friend jogs 3 kilometers in 16.5 minutes. Who jogs faster?

Answers

Answer:

your friend is faster.

Step-by-step explanation:

2 km in 12 min means 3 km in 18 min.

you friend jogs those same 3 km in 16.5 min, so he or she is faster.

the quotient of a number and 12 - 3 is -4

Answers

Answer:

-36

Step-by-step explanation:

12 - 3 = 9, so if the quotient of a number (let's call it x) and 9 is -4, we can create the following equation:

x ÷ 9 = -4

So, if we multiply both sides by 9, we get:

x = 9 * -4 which is -36.

Marty can dig a 10 ft trench in 90 minutes. Chris can dig a 10 ft trench in 110
minutes. If they work together, how quickly could they dig the trench?
A)100 minutes
B)42.6 minutes
C)49.5 minutes
D)155 minutes

Answers

Answer:

"minutes" (and any subsequent words) was ignored because we limit queries to 32 words.

Step-by-step explanation:

b. po

If they work together, they need 47 minutes to dig the trench.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, Marty can dig a 10 ft trench in 90 minutes. Chris can dig a 10 ft trench in 110 minutes.

Marty can dig a 10 ft trench in 90 minutes, and in one minute

10 ft = 90

1 ft = 90/10

1ft = 9 minuted

If Chris can dig a 10 ft trench in 110 minutes, and in one minute

10 ft = 100 minute

1 ft = 100/10

1 ft = 10 minute

If they worked together x minute needed to dig 1 ft,

1/x =1/9+1/10

1/x=1/9+1/10

1=19/90 x

90x=19

x=90/19

x=4.7 minute

For 10 feet,

x = 47 minute

Thus, if they work together, they need 47 minutes to dig the trench.

Learn more about the equation here,

https://brainly.com/question/1041325

#SPJ2

In one day a museum collected $1590 from 321 people. The price of admission is $6 for an adult and $4 for a child. How many adults and how many children were admitted to the museum?

I NEED IN STEP BY STEP SO I CAN UNDERSTAND!!!!

Answers

Answer:

153 adults and 168 children

Step-by-step explanation:

x - number of adults

y - number of children

[tex]\left \{ {{6x + 4y = 1590} \atop {x + y = 321}} \right.[/tex]

[tex]\left \{ {{6x+4y = 1590} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{6*(321 - y)+4y = 1590} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{1926 -6y+4y=1590} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{1926 -2y=1590} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{-2y=1590-1926} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{-2y=-336} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{y=168} \atop {x=321-y}} \right.[/tex]

[tex]\left \{ {{y=168} \atop {x=321-168}} \right.[/tex]

[tex]\left \{ {{y=168} \atop {x=153}} \right.[/tex]

Is it all clear?

8.
Write the equation of the parabola in vertex form.

A. y = –x^2 + 4

B. y = –x^2 + 3

C. y = –(x – 1)^2 + 3

D. y = –x^2 – 4

Answers

Answer:

A. y = –x^2 + 4

Step-by-step explanation:

Find the vertex form.

y = − ( x + 0 ) 2 + 4

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:

( 0 , 4 )

Focus:

( 0 , 15 /4 )

Axis of Symmetry:

x = 0

Directrix:

−

Select all the equations that are true when x = 6.
6x = 12
17 – x = 11
x ÷ 2 = 3
19 ÷ 3 = x
5 + x = 11

Answers

Answer:

everything but the 4th are true

Step-by-step explanation:

fax

Answer:

B,C,E

Step-by-step explanation:

5. Write the following numbers in order from least to greatest. 1.23; 1.2; 2.31; 3.2

Answers

1.2, 1.23 , 2.31, 3.2

Identify the solution for the system of equations graphed here.

A) (1,1)

B) (-1,1)

C) (1,-1)

D) (-1, -1)

Answers

Answer:

c) (1,-1)

Step-by-step explanation:

I hope this helps

Round 4.789473684 Please
Please hurry and actually help!

Answers

Answer:

4.79 or 4.789

Step-by-step explanation:

the first answer is if you need to round to the nearest hundredth, the second if you need to round to the nearest thousandth. you didn't tell us which was correct so I put both

4.79 if you’re rounding to tenths

What is the length of side x?

Answers

Answer:

Step-by-step explanation:

10.5 ÷ 3 = 3.5

3.5 × 6 = 21

How do I know which region to shade for this inequality
y ≤ 2x + -4?

Answers

Answer:

You look at the sign between y and 2x

Step-by-step explanation:

To find which way to shade, look at your symbol. The symbol you have is a less than or equal to, you shade to the left. Because it has the line underneath, you have a closed circle. (This is for line plots so I don't know if this completely helps)

Hopefully it does help though!!

Solve for x using common denominators.[tex]\frac{3}{4(x+2)}=\frac{x}{(x+2)}[/tex]

[A]-\frac{4}{3}[/tex]
[B]\frac{4}{3}[/tex]
[C]-\frac{3}{4}[/tex]
[D]\frac{3}{4}[/tex]

Answers

Step-by-step explanation:

3/(4(x+2)) = x/(x+2)

the common denominator would have to be 4(x+2).

to get the right side to this denominator, we have to multiply numerator and denominator (top and bottom) by 4.

and then we get

3/(4(x+2)) = (4x)/(4(x+2))

and now as both sides are "standing" on the same denominator, we can simply compare only the top parts.

3 = 4x

and therefore we can solve

x = 3/4

and D is then the right answer choice.

Find the selling price for each item given the cost and the percent of the markup or discount.

flat-screen TV: $669; 23% markup

A. $153.87
B. $692
C.515.13
D.822.87

Answers

Answer: D.$882.87

Explanation: you would do 669 times .23 which would equal 153.87 and then u would add 669+153.87 which equals $882.87

Select all of the expressions which are equivalent to-4/3p-2/5

Answers

Answer:

-2/5 -4/3 p and -4/3p+ (-2/5)

Annie's math test had 25 questions. She got 84% correct. How many problems did she get wrong?

Answers

She got 4 wrong because if you find how much is 84% of 25 by multiplying 84% times 0.25 you would get 21. In this case 21 is 84% of 25 and if you were to subtract 25 to 21 you would get 4. So she got 4 wrong

Other Questions

Yorks outstanding stock consists of 80,000 shares of noncumulative 7.5% preferred stock with a $5 par value and also 200,000 shares of common stock with a $1 par value. During its first four years of operation, the corporation declared and paid the following total cash dividendsDetermine the amount of dividends paid each year to each of the two classes of stockholders: preferred and common. (Round your "Dividend per Preferred Share" answer to 3 decimal places.) what is 78x85x99x1 i need helppp Which general perspective has been most concerned with the domestic division of labor, unequal power relationships, and caring activities in the family?. 5/7 times 7/8 in simple form Find the number k so that 125 is 65% of k which statement is true about heat and light energy what is the value of the expression ((9-5)2 - 1 ) divided by 3? Find the work done by the force field F in moving an object from A to B. F(x, y) = 6y3/2i + 9x y j A(1, 1), B(3, 4) Which of the following statements is true of the cultural differences in feeding and eating disorders? Group of answer choices The incidence of anorexia nervosa was stable between 1930 and 1970, but has risen significantly since then. Since 1990, the prevalence of bulimia nervosa has increased dramatically in the United States, Europe, and Australia. The prevalence of bulimia nervosa has decreased significantly in the second half of the twentieth century. A meta-analysis found that bulimia nervosa is considerably more common in Westernized cultures than in non-Westernized cultures. Pls help me with this, tyyy! Write a function predict_wait that takes a duration and returns the predicted wait time using the appropriate regression line, depending on whether the duration is below 3 or greater than (or equal to) 3. If you are a scientist or a inventorWhat do you invert about magnetism What did Texas struggle with after achieving its independence?A. Not enough landB. Labor storageC. Too much landD. Debtno links please. :) Bonjour quelqu'un peut m'aider a crire une lettre de rupture? OK - je dois crire une lettre de rupture en repondant a la lettre qui ma envoyer ce garcon et qu'il ma dit qu'il ve rompre You are doing chores to earn your allowance. For each chore you do, you earn $5. You are saving up to buy a $100 lego set. How many chores would it take you to earn $100? When a person goes on a diet, do they really want to lose weight or mass?Need answer asap A TV has a listed price of $771.95 before tax. If the sales tax rate is 9.25%, find the total cost of the TV with sales tax included. Round your answer to the nearest cent, as necessary. what country conquered the majority of central and latin america? Can someone tell me if I am right Draw the basic structure of a nucleotide with its three parts.