Answer: The angles inside a triangle are called interior angles. ... The three interior angles in a triangle will always add up to 180°. At each corner the exterior and interior angles are on a straight line, so at each corner these two angles add up to 180°.
Step-by-step explanation:
Sal proves that the angles of an equilateral triangle are all congruent (and therefore they all measure 60°), and conversely, that triangles with all congruent angles are equilateral.
Penelope has $1,459.75 in her bank account. To pay her bills, she writes 4 checks in the amounts of $200.25, $359.45, $125, and $299.35. Then she deposits $375 into her account. Penelope’s account balance after she pays her bills and makes the deposit is $ .
Answer:
$850.70
Step-by-step explanation:
Subtract all her check amounts and add the deposit. You come up with $850.70
choose 2 hellllpppppp plzzzxxxxzz
Answer:
Choices C and D
Step-by-step explanation:
The most simplest way is just to solve each one and see which two have the same answer as the first expression.
But you could also see that both of the [tex]\frac{4}{7}[/tex] are going to cancel each other out so you are left with [tex]-\frac{8}{9} +\frac{9}{8}[/tex] which is also choice C.
For choice D I distributed the negative one to the insides of the parenthesis that left me with [tex]-\frac{4}{7}-\frac{8}{9}+\frac{4}{7} +\frac{9}{8}[/tex] which is the same expression as the first one.
help please ! ill give brainliest if correct
9514 1404 393
Answer:
a) (-5±√10)/3 ≈ {-2.721, -0.613}
b) (6±√21)/5 ≈ {0.283, 2.117}
Step-by-step explanation:
a) The relevant coefficients are ...
a = 3, b = 10, c = 5
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-10\pm\sqrt{10^2-4\cdot3\cdot5}}{2\cdot3}=\dfrac{-10\pm\sqrt{40}}{6}\\\\\boxed{x=\dfrac{-5\pm\sqrt{10}}{3}\approx\{-2.721, -0.613\}}[/tex]
__
b) The relevant coefficients are ...
a = 5, b = -12, c = 3
[tex]x=\dfrac{-(-12)\pm\sqrt{(-12)^2-4\cdot5\cdot3}}{2\cdot5}=\dfrac{12\pm\sqrt{84}}{10}\\\\\boxed{x=\dfrac{6\pm\sqrt{21}}{5}\approx\{0.283, 2.117\}}[/tex]
A music player was marked down by 1/4 of the original price. If the sales price is $128, what is the original price? If the music player was marked up by ½ before it was placed on the sales floor, what was the price that the store paid for the player? What is the difference between the discount price and the price that the store paid for the music player?
Answer:
Step-by-step explanation:
Let the original price be represented by x.
1. [tex]\frac{1}{4}[/tex] of x = x - 128
[tex]\frac{x}{4}[/tex] = x - 128
x - [tex]\frac{x}{4}[/tex] = 128
4x - x = 4 x 128
3x = 512
x = [tex]\frac{512}{3}[/tex]
= 170.67
x = 170.67
The original price is $170.67.
2. If the price of the music player was marked up by ½ of its original price, its new price would be;
170.67 + (170.67 x ½) = 170.67 +85.335
= 256.005
≅ $ 256.0
The price paid by the store for the music player is still the original price i.e $170.67.
3. The difference between the discounted price and the price paid by the store can be determined by;
price paid by the store - the discounted price of the music player
= $170.67 - $128
= $42.67
If ABC=DEC, C=55, D=65, and B=2x. x=?
Answer:
X = 30
Step-by-step explanation:
B = E
DEC = 180 degrees/ 65 + E + 55 = 180
E = 60
B = 2x
2x = 60
x = 30
The value of x in the given figure is 32.5.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
∠C = 55
∠D = 65
∠B = 2x
∠D and ∠B are alternate angles.
Alternate angles are equal.
65 = 2x
x = 65/2
x = 32.5
Thus,
The value of x is 32.5
Learn more about triangles here:
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Solve for x. Thank you
Answer:
x = 11
Step-by-step explanation:
9x + 1 + 100 = 180
9x + 101 = 180
9x = 99
x = 11
Answer:
x = 11
Step-by-step explanation:
the angles are alternate exterior and therefore equal eachother
so 100 = 9x- 1
100- 1 = 9x-1 + 1
99 = 9x
99/9 = 9x/9
11 = x
FUNDRAISERS The Band Boosters had custom T-shirts made for homecoming that they plan to sell for $10 each. They
paid a $25.90 setup fee and $8.15 per shirt to have the shirts made. How many shirts do they need to sell to break even?
If x represents the number of shirts, write an equation to represent the situation.
Write an equation
Answer:2 I think?
Step-by-step explanation:
The required expression for the shirts they need to sell to break even is y = 25.90 + 8.15x.
Given that,
T-shirts made for homecoming that they plan to sell for $10 each.
They paid a $25.90 setup fee and $8.15 per shirt to have the shirts made.
How many shirts do they need to sell to break even is to be determined?
The equation is the relationship between variables and represented as y =ax +b is an example of a polynomial equation.
Let, x represents the number of shirts and y be the total cost for the number of x shirts,
They paid a $25.90 setup fee and $8.15 per shirt to have the shirts made.
Implies,
The total cost of x shirts = $8.15x
Total spend on the manufacturing of x shirts,
y = $25.90 + 8.15x
Thus, the required expression for the shirts they need to sell to break even is y = 25.90 + 8.15x.
Learn more about the equation here:
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a new car was purchased in 2005 for $20,000. it depreciates at a rate of 9%. what year will the car have a value of $10,000
A.2016
B.2008
C.2010
D.2012
Answer:
Step-by-step explanation: 2012
Answer:
The second method is estimating the initial value of the car. Let's assume you were offered to buy a three-year-old car for $12,000. If you input the value into the "3 years" box, the car depreciation calculator will display the initial value of the car - in this case, over $20,500. You can now compare it to the price of a brand new car.
Step-by-step explanation:
hi i need help in math pls i am really bad plssssssss
Answer:
The answer is a= [tex]\frac{8x^2+11x+1}{2}[/tex]
Step-by-step explanation:
Combine like terms and we get,
[tex]24x^2+83x+3=6ax[/tex]
[tex]\frac{24x^2+33x+3}{6x} =a[/tex] divide both sides of the equation by ax, and simplify further,
[tex]\frac{x(8x^2+11x+1)}{2}[/tex] notice that we can reduce the 24 over 6 1/2,
[tex]\frac{8x^2+11x+1}{2} =a[/tex] distribute and simplify further
And a=[tex]\frac{8x^2+11x+1}{2}[/tex]
What are the x and y-intercepts of the line described by the equation?
2x + 4y = 12.4
Enter your answers, in decimal form, in the boxes.
x-intercept =
y-intercept =
Select the correct answer.
Evaluate the following expression when x= -5 and y= 25
5|x| - y3 over x
A. 620
В. 3,120
C. -3,130
D. -630
5(-5)-(25)³ over -5 = -25-15625 over -5 = -16250/-5 = 3,130
Heeelp pls pls
Please math
Answer:
#5: 2000+80z
#6: 2.63a+4.5b
#7: 5(9c+2d)
#8: 3(9-3x+5y)
Step-by-step explanation:
Answer:
5. 2000+80z
6. 2.625a-4.5b
7. 5(9c+2d)
8. -3(3x-5y-9)
Solve the system of linear equations by graphing. Round the solution to the nearest tenth as needed. y + 2.3 = 0.45x
Answer:
(0,-2.3) or (5.111,0)
Step-by-step explanation:
A red-tailed hawk dives at a constant rate in which its altitude changes by -7 ½ meters in 0.15 seconds. How long will it take the hawk to dive -70 meters?
Answer:
1.4 seconds
Step-by-step explanation:
If the red-tailed hawk dives at a constant rate in which its altitude changes by -7 ½ meters in 0.15 seconds, the rate at which it changes its altitude is thus -7 ½ meters ÷ 0.15 seconds = -7.5 meters ÷ 0.15 seconds = -50 meters per second = -50 m/s.
Now, If the red-tailed hawk dives to a depth of -70 meters, the time it will take to cover that distance is t = distance/rate = -70 m/-50 m/s = 7/5 s = 1.4 s
So, it will take the red-tailed hawk 1.4 seconds to dive to a distance of -70 meters.
If 4x + 7 = 23, find the value of 12 + 2x
Answer:
2x+12
Step-by-step explanation:
i hope this helps
A pet store has 8 dogs, 12 turtle, and 3 cats. Write a ratio for each of the following situations.
Turtles to dogs:
Dogs to turtles:
Answer: 12 Turtles to 8 dogs
8 dogs to 12 turtles
Step-by-step explanation:
Hope this helps and have a marvelous rest of your day!
I need help pls !!!!!!
Answer:
45
Step-by-step explanation:
please help this is due in an hour
Answer:
Not proportional
Step-by-step explanation:
22/20 does not equal 18/15.
Answer:
B: Not proportional
Step-by-step explanation:
This wouldn't be proportional because for you, you are making 22 heartbeats in 20 seconds and 22-20 is 2. But if you look at your friend, he/she is doing 18 heartbeats in 15 seconds so add 5 so that 23 heartbeats is happening in 20 seconds and 23-20 is 3. If we compare, 3 is not the same as 2 making it not proportional.
At a carnival, 58 of the games cost $1. Another 2.5% of the games cost $2. What percent of the games do not cost $1 or $2?
Answer:
35%
Step-by-step explanation:
5/8 is 62.5%
2.5% + 62.5% = 65%
100%-65% = 35%
35% of the games do not cost $1 or $2
Answer: 35%
Step-by-step explanation:
A metric ruler can be used to measure what type of object?? Please help me!!
Answer:
A pencil
Step-by-step explanation:
Answer: a water bottle
Step-by-step explanation:
can u please help me
Answer:
first one
Step-by-step explanation:
bcz it is
yo i need help on this.... i don’t know math sorry guys
Answer:
4/10=40%
Step-by-step explanation:
Answer:
the answer is 40%
Step-by-step explanation: You can find this value by dividing the numerator by the denominator and multiplying to get you the result of 100%, so:
4/10 in percent = 4 / 10 × 100% = 0.4 x 100% = 40%
~Hope this helped you~
Just answers. No explanation needed. ASAP. WILL GIVE BRAINLIEST!!!
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Hii!!
can someone help me with this problem.
Jenna has $30 in her bank account. She needs more than $250 to buy a new pair of sneakers. She is able to save $20 per week. Let w represent the number of weeks she saves. How many weeks will she need to save before she has enough money for the sneakers?
Answer:
30+20w=250
w=11
Step-by-step explanation:
To do this, write this equation because 30 is what she had and 20w is the weeks. We don't know the weeks so use w. Finally, put=250
30+20w=250
To solve this, do 250-30=220
So 20w=220
Divide 220/20
W=11
Answer:
11 weeks
Step-by-step explanation:
The equation would be 20w + 30 = 250
so, we need to solve w.
20w + 30 = 250
- 30 - 30
20w = 220
___ ____
20 20
w = 11
The state transportation commission counted cars traveling east and west across a toll bridge. 40% of the 50,000 cars counted were traveling east. How many eastbound cars did the commission count? please help me :(
Answer:
If you are asking what is 40% of 50,000, then it should be 20,000.
Step-by-step explanation:
what's the range???
Answer:
Step-by-step explanation:
range is the y values where the graph goes through
since there are closed circles, we’ll use brackets
range is [-9, -4]
**the smaller value goes first, then the bigger value
LeeAnn is bringing her sick cat Snowball in for a series of appointments at the veterinary clinic. Her total cost over the course of treatment will be $250 for tests and medicine plus $45 per appointment, a. Part A Write an equation to show the total cost, t, she will owe. Part B The clinic offers LeeAnn a 25% discount off of her total cost. Write an equation to show her updated cost. Part C What will be LeeAnn's total discounted cost of Snowball's treatment requires six veterinary appointments? Form B Show your work.
Answer:
Part A: y = $250 + $45x
Part B: U = y * 0.75 or U = ($250 + $45x) * 0.75
Part C: $390
Step-by-step explanation:
Part A: In this scenario, we have fixed costs for the treatment and two variables, one of which is the number of appointments which is represented by the letter x and the total amount of costs which is represented by the letter y in the following equation...
y = $250 + $45x
Part B: Now we have the equation for the total cost we can update it to add the 25% discount. Since this is a discount it means that it is being subtracted from the 100% original price. Therefore, we need to multiply the total cost by the decimal form of 75% (100 - 25) which we can get by dividing the percentage by 100 like, which gives us 0.75. Now we multiply this value by the total cost in order to get the updated cost (U).
U = y * 0.75 or U = ($250 + $45x) * 0.75
Part C: Now we can substitute the number of appointments variable (x) by 6 and solve for U.
U = ($250 + $45x) * 0.75
U = ($250 + $45(6)) * 0.75
U = ($250 + $270) * 0.75
U = $520 * 0.75
U = $390
anybody know how to do dis one?
Answer:
k=8
Step-by-step explanation:
-11-k=-3
+11 +11
-k=8
divide -1 on both sides
k=8
Rocio poured a square patio outside her back door. Each side measured 8.5 feet. Which equation represents the perimeter, in feet, of Rocio's patio? A. 8.5 + 8.5 = 17 B. 4 × 8.5 = 34 C. 2 × 8.5 = 17 D. 8.5 × 8.5 = 72.25
Answer:
B. 4 × 8.5 = 34Step-by-step explanation:
The formula for calculating the perimeter of the square patio is expressed as;
P = 4L
L is the length of each side of the square patio
Given
L = 8.5 feet
Required
Perimeter in feet of Rocio's patio
Substitute the given parameter into the formula;
Perimeter = 4 * 8.5
Perimeter = 34ft²
Option B is correct.
Answer:
Step-by-step explanation:
72.25 the answer
Hannah is at the supermarket to buy carrots and potatoes. If she buys 2 pounds of carrots and 3 pounds of potatoes, it will cost her a total of $8, and if she buys 4 pounds of carrots and 4 pounds of potatoes, it will cost her a total of $13. Which of these statements is correct?
Answer:
How much money per pound of each?
Step-by-step explanation: