Draw triangle ABC by first drawing segment BC six inches long. Then draw a 60° angle at vertex B and a 60° angle at vertex C. Extend the segments so that they intersect at point A.
Answers
Answer:
Step-by-step explanation:
Given that segment BC is the base of the triangle, this drawing shows that triangle ABC is an equilateral triangle.
Since;
<B = <C = 60°
Then,
<A + <B + <C = [tex]180^{o}[/tex]
<A + 60° + 60° = [tex]180^{o}[/tex]
<A = [tex]180^{o}[/tex] - [tex]120^{o}[/tex]
= 60°
Thus,
AB = BC = AC = 6 inches
The construction is attached to this answer.
Related Questions
1. 7.35 x 10 6 – 9.42 x 10 8
2. 3.14 x 10 -3+1.59 x 10 -1
3. (2 .8x 10 -9 )(4.75 x 10 -3 )
plz hurry
Answers
y=−2x+9 write in standard form
Answers
Answer:
2 x − y = − 9
Step-by-step explanation:
I am not 100% sure but I think this is right.
Answer:
Step-by-step explanation:
2x+y=9
Two students used different methods to measure the length of their model bridge
project. One student measured the bridge length in feet using 11n−2.9. The second
student measured the bridge length in feet using 5n + 6.4 What is the value of n if
the two measurements are equal?
Answers
Answer:
Two students used different methods to measure the length of their model bridge
project. One student measured the bridge length in feet using 11n−2.9. The second
student measured the bridge length in feet using 5n + 6.4 What is the value of n if
the two measurements are equal?
Step-by-step explanation:
Two students used different methods to measure the length of their model bridge
project. One student measured the bridge length in feet using 11n−2.9. The second
student measured the bridge length in feet using 5n + 6.4 What is the value of n if
the two measurements are equal?
Question 2
The cell membrane controls what enters and exits the cell to maintain
A.energy
B. Photosynthesis
C.respiration
D.homeostasis
Answers
don't guess!! pls help!!
THERE'S 4 IMAGES.
Answers
Answer:
pic one is rock cycle, pic 2 crystaline structure, and pic three and 4 are the same pictures as question 2
Step-by-step explanation:
can someone help me with thiss?
Answers
Answer:
Step-by-step explanation:
HELP MY BROTHER NEEDS HELP WITH AN ASSIGNMENT BUT I DO NOT KNOW HOW
Order the values from least to greatest. |–4|, 10, –12, |3| A. |–4|, |3|, 10, –12 B. |3|, |–4|, 10, –12 C. –12, |–4|, |3|, 10 D. –12, |3|, |–4|, 10
Answers
The answer is letter C.
Step-by-step explanation:
hope this helps
-12 < -4 < 3 < 10
Answer:
D. –12, |3|, |–4|, 10
Step-by-step explanation:
| - 4|, 10, - 12, |3|
4, 10, - 12, 3
- 12, 3, 4, 10
i need help!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
g-(3,3)
h-(-5,3)
j- (5,-5)
Plz name me brainliest
Please help look at the picture
Answers
Answer:
The correct answer would be D
You have 37 coins that are nickels, dimes, and pennies. The total value of the coins is $1.55. There are twice as many pennies as dimes. Find the number of each type of coin in the bank.
Answer: Let n be the number of nickel
s, d be the number of dimes, and p be the number of pennies.
Answers
Answer:
n = number of nickels = 7
d = number of dimes = 10
p = number of pennies = 20
Step-by-step explanation:
Let
n = number of nickels
d = number of dimes
p = number of pennies.
n + d + p = 37
0.05n + 0.10d + 0.01p = 1.55
p = 2d
Substitute p = 2d into the equation
n + d + 2d = 37
0.05n + 0.10d + 0.01(2d) = 1.55
n + 3d = 37
0.05n + 0.10d + 0.02d = 1.55
n + 3d = 37 (1)
0.05n + 0.12d = 1.55 (2)
Multiply (1) by 0.05
0.05n + 0.15d = 1.85
0.05n + 0.12p = 1.55
Subtract
0.15d - 0.12d = 1.85 - 1.55
0.03d = 0.3
d = 0.3/0.03
= 10
d = 10
p = 2d
= 2(10)
p = 20
n + d + p = 37
n + 10 + 20 = 37
n + 30 = 37
n = 37 - 30
n = 7
n = number of nickels = 7
d = number of dimes = 10
p = number of pennies = 20
if
[tex]f(x) = \sqrt{x} + 12[/tex]
and
[tex]g(x) = 2 \sqrt{x} [/tex]
what is the value of
[tex](f - g)(144)[/tex]
?
Answers
Answer:
0
Step-by-step explanation:
We have the two functions:
[tex]f(x)=\sqrt{x}+12\text{ and } g(x)=2\sqrt{x}[/tex]
And we want to find (f-g)(144).
This is the same thing to f(144)-g(144).
So, let’s determine the value of f(144) and g(144) first:
[tex]\begin{aligned} f(144)&=\sqrt{144}+12 \\ &=12+12 \\ &=24\end{aligned}[/tex]
And:
[tex]\begin{aligned} g(144)&=2\sqrt{144} \\ &=2(12) \\ &=24 \end{aligned}[/tex]
Hence:
[tex]\begin{aligned} (f-g)(144) &= f(144)-g(144) \\ &=24-24 \\ &=0 \end{aligned}[/tex]
Our final answer is 0.
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[tex](f - g)(x) = \sqrt{x} + 12 - 2 \sqrt{x} \\ [/tex]
[tex](f - g)(x) = - \sqrt{x} + 12[/tex]
[tex](f - g)(144) = - \sqrt{144} + 12[/tex]
[tex](f - g)(144) = - \sqrt{ {12}^{2} } + 12 [/tex]
[tex](f - g)(144) = - (12) + 12[/tex]
[tex](f - g)(144) = - 12 + 12[/tex]
[tex](f - g)(144) = 0[/tex]
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what is 7-3+6+x equal ??
Answers
Answer:10+x
Step-by-step explanation:
X=-10
Hope that helps!
what is the slope of the line that passes through the points (2,1) and (17,-17)
Answers
hi
You have two points A ( X;Y) and B ( X ; Y)
slope is : ( Yb -Ya) / (Xb -Xa )
A(2 ; 1) and B (17 ; - 17)
so : (-17 - 1 ) / (17 -2) = -18/ 15 = - 6*3 / 5*3 = -6/5
plz help I'll give brainest
Answers
Answer:
B
Step-by-step explanation:
absolute value is 2½
hope it helped
Why?
The absolute value of a positive number is positive, the answer is 2 1/2
Mike has a loan of $36,320. This loan has a simple interest rate of 6% per year. What is the
amount of interest that will be charged on this loan at the end of the first year?
Help:(
Answers
Answer:
ummm well that hard let me solve it real quick
Step-by-step explanation:
:/
Question 2 (Multiple Choice Worth 4 points)
In which expression should the exponents be multiplied?
6
0 0
o
99
94
073.78
O (26)-5
Answers
Answer:
No pic or question.
Step-by-step explanation:
Kiera wants to increase her savings account to a balance of $1,350. Her current balance is $174 and she adds $84 a month to her savings.
How many months will it take for her to reach her goal of $1,350?
18 months
16 months
12 months
14 months
Answers
Answer:
Her goal : 1350
What she has now: 174
she earns 84$ a month
answer is 14 months because 84* 14 is 1176 and if u add 174 $ to that it will give u 1350.
Step-by-step explanation:
What is the slope of the line?
Answers
Answer:
1
Step-by-step explanation:
a scaled drawing of a rectangular park is 5 inches wide and 7 inches long. the actual park is 210 yards long. what is the width of the actual park in yards
Answers
Answer:
I think the width would be 150 yd
Step-by-step explanation:
just broke down the 210 yd we had already to inches found out how much it was scaled up and did the same on the other side
What is the answer to each problem? Please hurry :)
I will give Brainlest to whoever answers correctly, thank you.
Answers
Answer:
Step-by-step explanation:
Clue #6 is -5/4 (first option)
Clue #7 is 1/8 (second option)
Clue #8 is -7/6 (first option)
Clue #9 is -10/7 (last option)
Clue #10 is 10 (last option)
Which shows the equation below written in the form ax2 + bx + c = 0?
x + 9 = 4(x-1)^2
LOOK AT THE PICTURE REALLY EASY
Answers
Answer:
D
Step-by-step explanation:
We have the equation:
[tex]x+9=4(x-1)^2[/tex]
To convert this to standard form, we can simply expand.
First, expand the right-hand side:
[tex]x+9=4(x^2-2x+1)[/tex]
Distribute the right:
[tex]x+9=4x^2-8x+4[/tex]
Subtract 9 from both sides:
[tex]x=4x^2-8x-5[/tex]
Finally, subtract an x from both sides:
[tex]0=4x^2-9x-5[/tex]
Flip:
[tex]4x^2-9x-5=0[/tex]
Hence, our answer is D.
After 8 months, you have been able to save $937. You have the ability to save $130 per month. Build a model and write an explanation of the y- intercept. What is the rate of change?
Answers
Given:
After 8 months, you have been able to save $937.
You have the ability to save $130 per month.
To find:
The model for the situation and y-intercept and rate of change.
Solution:
Let y be the ability to saving after x months.
Ability to save in one month = $130
Ability to save in x months = $130x
So, total ability is
[tex]y=130x+b[/tex] ...(i)
where, b is initial savings.
After 8 months, you have been able to save $937. So, the point is (8,937).
Put x=8 and y=937 in (i),
[tex]937=130(8)+b[/tex]
[tex]937=1040+b[/tex]
[tex]937-1040=b[/tex]
[tex]-103=b[/tex]
So, the y-intercept is -103. Here, negative sign represents that we cannot able to save initially or we have loan or liabilities of $103.
Put b=-103 in (i).
[tex]y=130x+(-103)[/tex]
[tex]y=130x-103[/tex]
On comparing with slope intercept form, we get
Slope = 130 and y-intercept = -103
Therefore, the slope is 130 and y-intercept is -103.
I need the answer can someone please help me!!
Answers
Answer:
13.5 units^2
27/2 units^2
Step-by-step explanation:
multiply 27/5 and 5/2
the fives cancel out so you are left with 27/2 so the volume is 13.5 units^2 or 27/2 units^2
What is the solution of the equation modeled below?
Answers
Answer:
3x+4=7x-8
Step-by-step explanation:
hoped it helped..
What is the square root of 40000 step by step
Thx for everything that answers
Answers
The answers 200 of u have an iPhone u can ask siri what the square root of whatever number is and it will tell u the correct answer
Ariana borrowed some money from her friend in order to help buy a new video game system. Ariana originally borrowed $150 and agreed to pay back her friend $15 per week
Answers
Answer:
if it how long it will it take to pay her friend back its 135 weeks
Step-by-step explanation:
Please help !!! I don't understand
Answers
Answer:
P=160+6x
Q=x+40
H=4x-5
P+Q+H=180...P=61.82
Triangles ABC and DEF are similar. Find e.
A.) 11
B.) 12
C.) 10
D.) 9
Answers
Answer:
C) 10
Step-by-step explanation:
The triangle on the right shows that the side AB is 4 and the triangle on the left shows that the side DE is 8. Based on these two numbers I can conclude that the triangle DEF is double the size of triangle ABC. With this information, I can find e by doing 5*2=e and get 10 as my answer.
Hope this helps you :)
PLS , help me asap :(( , im so frustrated , idk how to do these :c
Answers
Answer:
y intercept = 5
Step-by-step explanation:
In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.
Answer:
Step-by-step explanation:
i don't want to make u mad but i'm taking a test with that same question and i got 29.25 but i'm also not the smartest
Antonio, Lucas y Darío compraron un refresco de 5/2 (2litros y 1/2) que piensan repartir en partes iguales. a) ¿Qué fracción de litro le corresponde a cada uno? b) Una vez repartido el refresco llego Benjamín a quien van a convidarle. ¿Cuánto debe convidarle cada uno para que los cuatro tengan la misma cantidad de refresco?
Answers
Answer:
a) A Antonio, Lucas y Darío le corresponde cada uno [tex]\frac{5}{6}[/tex] litros.
b) Antonio, Lucas y Benjamín deben convidar cada uno [tex]\frac{5}{24}[/tex] litros.
Step-by-step explanation:
a) Antonio, Lucas y Darío compraron un refresco, el cual reparten en tres partes iguales. Por tanto, la fracción de litro para cada persona es la capacidad del refresco dividido por el número de personas. Es decir:
[tex]x = \frac{\frac{5}{2}\,L }{3}[/tex]
[tex]x = \frac{5}{6}\,L[/tex]
A Antonio, Lucas y Darío le corresponde cada uno [tex]\frac{5}{6}[/tex] litros.
b) En primer lugar calculamos la fracción correspondiente a cuatro personas:
[tex]x = \frac{\frac{5}{2}\,L }{4}[/tex]
[tex]x = \frac{5}{8}\,L[/tex]
Ahora, procedemos a calcular la diferencia entre el escenario calculado en a) y el resultado anterior:
[tex]\Delta x = \frac{5}{6}\,L-\frac{5}{8}\,L[/tex]
[tex]\Delta x = \frac{40-30}{48} \,L[/tex]
[tex]\Delta x = \frac{10}{48}\,L[/tex]
[tex]\Delta x = \frac{5}{24}\,L[/tex]
Este resultado corresponde a la fracción que Antonio, Lucas y Darío deben convidar cada uno a Benjamín. Entonces, Antonio, Lucas y Benjamín deben convidar cada uno [tex]\frac{5}{24}[/tex] litros.