The Historic Triangle in Virginia connects Jamestown, Williamsburg, and Yorktown. The interior angle at Williamsburg is 120°. The interior angle at Jamestown is twice the measure of the interior angle at Yorktown. Find the measures of the interior angles at Jamestown and Yorktown.

Answers

Answer 1

Answer: Interior angles at Jamestown and Yorktown are 40° and 20°, respectively

Step-by-step explanation: Jamestown, Williamsburg and Yorktown form a triangle. The sum of the interior angles of a triangle is 180°.

Suppose interior angle at Yorktown is x. As Jamestown is twice the measure at Yorktown, it means this interior angle is 2x.

Then, the measures will be:

2x + x + 120 = 180

3x = 60

x = 20

Angle at Yorktown is 20°.

So, angle at Jamestown is

2x = 2.20 = 40°

The measures of the interior angles at Jamestown and Yorktown are 40° and 20°, respectively.


Related Questions

Jim is twice Sharon's age together their ages add up to 27. how old is each person?​

Answers

Answer:

Jim is 18, Sharon is 9.

Step-by-step explanation:

Sharon has to be 9. Two times 9 is 18, then add 9 to it for sharons age, and you get 27. hope this helps :)

Answer:

Jim is 18. Sharon is 9.

Step-by-step explanation:

9+9=18

18+9=27

3

2x
38
V-2
24

36
Z+88
X=

Answers

Answer:

no

Step-by-step explanation:

ni

nni

n

solve the equation. check your solution. 2/9g=-8

Answers

g=-36

Solving the equation:

(2/9)g=-8

(9/2)(2/9)g=-8(9/2)

g=-4(9)

g=-36

I will mark you

Given the relation: (0,0), (5,10), (6,12), (10,20) and based on the definition of function, is that relation a function?

Why or why not?

Answers

Answer:

Yes, because the x's do not have more than one y.

Step-by-step explanation:

x      y

0      0

5       10

6       12

10     20

(That's meant to be a table). Looking at the x and y table values, you can see that none of the x's have two y's. So, this relation is a function.

Help pls!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

No

If DEC△ABC∼△DEC, find the values of x and y.

Answers

Answer:

X = 8

Y = 35

Step-by-step explanation:

All you need to do to solve this problem is use the Pythagorean Theorem

The leg of the triangle are A and B and C represents the hypotenuse. All you need to do is plug in the values into the equation and there u have it.

Olivia is going to use a computer at an internet cafe. The cafe charges an initial fee to use the computer and then an additional price per minute of usage. An equation representing the total cost of using a computer for tt minutes at the internet cafe is given by C=0.10t+7.C=0.10t+7. What is the slope of the equation and what is its interpretation in the context of the problem?

Answers

Answer:

Slope=0.10

Interpretation: For every minute Olivia is in the cafe she is getting charged 10 cents

Step-by-step explanation:

The slope is a constant followed by a variable (a,x,b,z,etc...) So the only constant with a variable after it was the 10.

Answer:

The slope of the function is 0.10 which represents the additional charge per minute.

Step-by-step explanation:

The slope shows how much the amount Olivia must pay increases each minute, representing the cost per minute of using the computer after the initial charge.

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Answers

Answer:

wait, what is the question?

Bob is driving home from his vacation to see the Grand Canyon. When he stops to check his map, he notices that he is 320 miles from home. He calculates that he should be able to cover 60 miles of road each hour on his journey home.

Dependent variable:
Independent variable:

Function notation:

Answers

Answer:

Whats the question

Step-by-step explanation:

i think the independent variable is the miles from home

the dependent is the miles per hour

The functions u and w are defined as follows.
u(x) = 2x+2
w(x) = – 2x² +2
Find the value of w (u(2)).

Answers

Answer:

w(u(2)) = -70

Step-by-step explanation:

u(x) = 2x + 2

w(x) = -2[tex]x^{2}[/tex] + 2

w ( u (2) )

Find u(2), substitute in 2 for x in the function u.

u(2) = 2(2) + 2

= 4 + 2

= 6

w(u(2))

= w(6)

Now subsitute in 6 for x, in the function w.

w(6) = -2[tex](6)^{2}[/tex] + 2

= -2 * 36 + 2

= -72 + 2

= -70

w(6) = -70

w(u(2)) = -70

It's candy time! Suppose 5 friends go out candy collecting. Starting out, Ms. Gleason gave each of them 12 pieces of candy. Then, they each collect 15 pieces each hour. At the end of the night, the 5 friends have 510 pieces all together. How many hours were they out candy collecting? ______ hours Multi-Step Equations

Answers

Answer:

6 hours

Step-by-step explanation:

First, since they all collected 510, you divide 510 by 5, to figure out how much each person got.

You then know that each of them got 102 candies, so now, you subtract 12 from from 102, since the teacher gave them that much in the beginning.

You're left with 90, so last step is to divide 90 by 15, since they collect 15 every hour, which you get left with 6. Meaning they collected candies for 6 hours

Answer:

they were out for 6 hours and each of them got 102 pieces of candy

Find the value of 4/5 divided by 8/15. You must simplify.

Answers

Answer:

3/2

Step-by-step explanation:

Assuming you meant fractions, to divide them, you must multiply the reciprocal of that fraction. You'll then have:

4/5x15/8

Reduce the numbers of the greatest common factor which is 5:

4x3/8

Reduce the numbers of the greatest common factor which is now 4:

3/2 is your answer

someone pls help me with question 5 PLEASE :(

Answers

Answer:

the third one

Step-by-step explanation:

the pattern is /5

3/5 and then

(3/5)/5 = 3/25

A is correct answer because 5x3 is 15 15x5 is 75 75x5 is 375

On the interval [x,7] , at which x-value is the average rate of change 56?
????????

Answers

Average rate of change of 56 at the point x=4

What is average?

An average is a single number taken as representative of a list of numbers

What is rate of change?

A rate of change is a rate that describes how one quantity changes in relation to another quantity

Consider the point 4

At x=4; f(x)=24

At x=7: f(x)=192

Average Rate of change = Rate of change of f(x) / Rate of change of x

Average rate of change =[tex]\frac{192-24}{7-4}=\frac{168}{3}[/tex]

Average rate of change = 56

Hence, the average rate of change of 56 at the point x=4

Learn more about Average and rate of change here

https://brainly.com/question/2530409

#SPJ2

How many 2/3-quart portions are in 7 1/2 quarts of soup?

Answers

How many 2/3-quart portions are in 7 1/2 quarts of soup?

8

If a person walks 14 mile in 10 minutes, how far will that person walk in one hour?

Answers

Answer:

They would walk 84 miles in one hour.

Step-by-step explanation:

14 x 6 (One hour) = 84 miles

Hope this helps ^^

Answer:

84

Step-by-step explanation:

because 1 hour equals 60 mins so 6 x 14

What is the common ratio for the sequence 1, 4, 16, 64,..? Help plzzzzz

Answers

Step-by-step explanation:

there is no step by step it is just 4 the answer is 4

You continue to multiply each number by 4. Hope this helps

3х – 5y= 27
х +4y = -8
Solve the system of equations.​

Answers

3x - 5y = 27
-3x -12y = 24

-17y = 51
/-17 /-17
y = 3

x + 4(3) = -8
x + 12 = -8
-12 -12
x = -20

(-20, 3)

Factor 8x+48 using the gcf

Answers

Answer:

16(2z -3)

Step-by-step explanation:

There are two ways of solving this problem.

List out the factors of the numbers:

32z - 48

= 32 * z - 48

32= 1, 2, 4, 8, 16, 32

48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

the largest common factor that both numbers have in common is 16,

So factoring the equations means the one has to divide the equation by 16 and write it outside of the parenthesis.

16 * ( 2 * z - 3)

16(2z -3)

Another way of solving the problem:

prime factorize the number:

32 = 2^5

48 = 2^4 * 3

Both numbers have 2^4 as their largest factor in common meaning that that is their GCF. 2^4 is 16.

Now factor out 16 and write it on the outside of the parenthesis.

16 * ( 2 * z - 3)

16(2z -3)

Answer:

8(x+6)

Step-by-step explanation:

hope this helps

Rochelle bought 12 spiral notebooks for school. Each notebook cost $1.50, including tax. Which
number sentence could you use to find C, the change that Rochelle received when she paid with a
$20 bill?

Answers

Rochelle would receive two dollars exactly in change. Explanation 12x1.50 =18. 20 -18= 2

What is the probability of the spinner stopping on an even number?
4
11
2
6
7
3
5
8
10
9
O A 2
B.
10
O
C.
10
OD
5
10
d
E.
10

Answers

Answer:

5/10

D

Step-by-step explanation:

Its a even number to amount of numbers ratio

5:10

Please help ASAP....A Donut shop sells donuts for $0.75 each with a charge of $1.50 for the box. Write a rule in function notation for this situation.
Options is the mage​

Answers

The answer is the first option.

b) Amount
Rs 5760, Interest
Rs 1526​

Answers

Given :

Amount, A = 5760 Rs.

Interest in the amount, I = 1526 Rs.

To Find :

We need to find the % rate of interest.

Solution :

Let, us assume it is simple interest.

So,

[tex]Interest = \dfrac{price \times rate \times time}{100}\\\\1526 = \dfrac{5760 \times r \times m}{100}\\\\r = \dfrac{152600}{5760m}\\\\r = \dfrac{26.5}{m}[/tex]

Hence, this is the required solution.

how do you simplify 3x +10-8+2x​

Answers

5x+2 I think it is this

Which number line best represents - 2.6?
A.
1
2
3
B.O
-3
-2
-1
COH
2
1
DOH
-4
-3
-2

Answers

B! Is the answer ur welcome :)

HELP

A gym offers regular memberships for $80 per month and off-peak memberships for $60 per month. Last month, the gym sold a total of 420 memberships for a total of $31,100. The following system of equations models this scenario:

80x + 60y = 31,100
x + y = 420

How many of the memberships sold were regular memberships?

Answers

Answer:

The correct answer is D. 295

Step-by-step explanation:

Hope i helped !

Have a great day :)

Answer:

D : 295

Step-by-step explanation:

write the following numbers in order starting with the smallest 1.75kg 1975g 0.9kg 1800g

Answers

0.9kg

1.75kg

1800g

1975g

PLZ HAAAALP
One winter day, the temperature was -15°F. Later that day, the temperature rose 12°F to reach the high temperature for the day. If t represents the high temperature, what is t?

Answers

Answer:

-3°F

Step-by-step explanation:

-15 + 12 = -3

Answer:

-3

Step-by-step explanation:

I need this answer ASAP

Answers

Answer:

216 cm²

Step-by-step explanation:

6*6=36

36*6=216

What is the y-intercept of the graph?

Answers

Answer:

4

Step-by-step explanation:

What is the y-intercept of the graph?
The y-intercept is 2
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