Answers
Answer:
x = 70°Step-by-step explanation:
If two sides of a triangle are congruent, then angles opposite those sides are congruent.
the sum of the interior angles in a triangle is 180°
(180 - 40) : 2 =
70
x = 70°
----------------------------
check
70 + 70 + 40 = 180°
the answer is good
Related Questions
In a Quiz points are rewarded for each correct answer while points are deducted for each incorrect answer. In the first round, Ethan answered all the questions correctly. In the second round, he answered 8 questions incorrectly. If 3 points are deducted for each incorrect answer, by how much does Ethan’s score change in the second round?
Answers
Answer:
24 points
Step-by-step explanation:
3x8 is 24
Is this relation a function? Justify your answer. 11 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 11 O A. Yes, because the number of x-values is the same as the number of y-values. B. No, because two points with the same yvalue have different * values. O C. No, because two points with the same x-value have different values. D. Yes, because every x- and y-value is positive.
Answers
this is a relation because it has all of the same number more than once
Neil is rolling a fair die and the last ten rolls have been 2, 5, 6, 3, 2, 1, 5, 2, 6, and 1. He says that the probability of getting a four on his next roll is higher since he has not gotten one yet. Is he correct?
A) No, the probability of getting a 4 on a fair die does not change. It will always be 16 no matter what he got on previous rolls.
B) Yes, since he has gotten everything but a 4 on the last ten rolls, the probability of getting a 4 is higher on the next roll.
C) No, since he has not gotten a 4 yet he is guaranteed to get one on the next roll as it is time for him to get one.
D) There is no way to tell until he rolls the die. You cannot accurately predict what he will get.
Answers
Answer:
A)No, the probability of getting a 3 on a fair die does not change. It will always be 1/6 no matter what she got on the previous roll.
Step-by-step explanation:
Part 2
Directions: Use the information in the charts to answer the questions.
Type of Fruit Cost
Estimated
Cost
apple
$1.75/pound
orange
$2.35/pound
banana
$1.50/pound
Answers
Answer:
i think you need to add all that up
Step-by-step explanation:
To solve two-step equations, it is useful to use reverse ________________ as a guide to isolate the variable efficiently. *
Answers
Answer:
operations
Step-by-step explanation:
to solve two-step equations, it is useful to use reverse operations as a guide to isolate the variable efficiently.
PLEASE HELP ASAP
A shop sells a washing machine for £236.25, making a profit of 5%. At what wholesale price did the shop buy the washing machine?
Original price = £
Answers
Answer:
£225
Step-by-step explanation:
The relationship between the cost price (cp) and the selling price (sp) is ...
cp + 5% × cp = sp
cp(1.05) = sp . . . . . . collect terms
cp = sp/1.05 . . . . . . divide by 1.05
cp = £236.25/1.05 = £225
The original wholesale price was £225.
A trader has a mixture of 5c and 10c coins. He has 50 coins in all, with a total value of $4.20. How many of each coin does he have?
Answers
Answer:
16 5c coins
34 10c coins
Step-by-step explanation:
(I prefer to use whole numbers)
5x + 10y = 420
x+y=50
multiply the bottom problem by -5
5x +10y =420
-5x -5y = -250
combine the problems
5y = 170
divide by 5
y = 34
that means x = 16
34 10c coins
16 5c coins
-- Gage Millar, Algebra 1/2 tutor
The number of 5 cent coins are 16 and the number of 10 cent coins are 34.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Given that, a trader has a mixture of 5 c and 10 c coins.
Let the the number of 5 c coins be x and the number of 10 c coins be y.
He has 50 coins in all, with a total value of $4.20.
So, x+y=50 ---------(I)
5x+10y=420 ---------(II)
Multiply equation (I) by 5, we get
5x+5y=250 ---------(III)
Subtract equation (III) from (II), that is
5x+10y-(5x+5y)=420-250
⇒ 5y=170
⇒ y=34
Substitute y=34 in equation (I), we get
x=16
Therefore, the number of 5 cent coins are 16 and the number of 10 cent coins are 34.
To learn more about the linear system of an equations visit:
https://brainly.com/question/27664510.
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A radar station is 2000 ft from the launch site of a rocket. If the rocket is launched vertically at the
rate of 500 ft/sec, how fast is the distance between the radar station and the rocket changing 10 seconds
later?
Answers
Answer: f 500 Ft./sec
Step-by-step explanation:
By evaluating the derivate of the distance in t = 10s, we will see that at t = 10s the distance is changing at a rate of 464.2 ft/s
We can think of the situation as in a right triangle, one cathetus is equal to 2000ft, and the other cathetus increases at a rate of 500ft/sec.
The hypotenuse would be the distance between the radar and the rocket.
Then the distance function is:
[tex]D(t) = \sqrt{(2000ft)^2 + (500ft/s*t)^2}[/tex]
Now we need to get the rate of change, this is given by:
[tex]\frac{dD(t)}{dt} = (1/2)*\frac{2*(500ft)^2*t}{\sqrt{(2000ft)^2 + (500ft/s*t)^2} }[/tex]
Now we evaluate this in t = 10s to get:
[tex]\frac{dD(10s)}{dt} = (1/2)*\frac{2*(500ft/s)^2*10s}{\sqrt{(2000ft)^2 + (500ft/s*10s)^2} } = 464.2 ft/s[/tex]
If you want to learn more, you can read:
https://brainly.com/question/18904995
The owner of a bookstore buys used books from customers for $1.50 each. The owner then resells the used books
for 400% of the amount he paid for them.
What is the price of a used book in this bookstore?
need the answer
Answers
The price of a used book in the bookstore after the percentage increase in its price is $7.50.
What are percentages?
Percentage can be described as the fraction out of an amount that is usually expressed as a number out of hundred. Percentages are represented with this sign - %.
What is the price of the used book?Price = 1.50 x ( 1 + 4)
1.5 x 5 = $7.50
To learn more about percentages, please check: https://brainly.com/question/25764815
Answer:
j 6.00
Step-by-step explanation:
i took the test hope this helps good luck
Orion buys 3 books for a total of 25.50. He pays $8 plus sales tax for each book. He wants to know how much the sales tax is for one book.
Let "t" equal the sales tax Orion pays for each book. Write an equation that represents this situation.
Answers
The equation that represents this situation is 8 + 3t = 25.50.
How to calculate the value?Let the sales tax for each book be represented as t.
Since Orion buys 3 books for a total of 25.50 and he pays $8 plus sales tax for each book. This will be illustrated as:
Cost of book + Tax = Total amount
8 + (3 × t) = 25.50
8 + 3t = 25.50
Collect like terms
3t = 25.50 - 8.
3t = 17.50
Divide
t = 17.50 / 3
t = 5.83
The sales tax is $5.83.
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pls help plsss
help
plss
Answers
Answer:
number 2 is c, number 3 is c
What is the graph of y=3/4x-3
Answers
Answer:
the answer is graph C
Step-by-step explanation:
babyface_wee
Answer: Graph A
Step-by-step explanation:
y-intercept = -3 So, Not Graph B
Slope = 3/4x = rise 3 run 4 or up 3 right 4. So not Graph C
Graph A meats all the criterias.
x^8+8x^7+15x^6−9x^5−72x^4−135x^3+8x^2+64x+120 Factor completely given the following factors: (x+5) and (x+3) There should be 6 factors (2 given, 2 binomials, and 2 trinomials.) show steps
Answers
Answer:
(×+3)(×+5)(×2)(×-1) (×^2+2×+4)(×^2+×+)Step-by-step explanation:
Where the given one is bolded the 2 binomials is italicized Ang the 2 trinomials is underlinedpa BRAINLEST pls
To earn an a in mr.whites math class students must score a total of at at least 135 points on three test. On the first two test , kaylees scores were 47 and 48 . What is the minimum score she must get on the third test to earn an a
Answers
Answer:
Set an equation x+47+48= 136
solve for x
x+95=136
x= 40
so they need to score a 40
x=2y=-1
-5x-9y=2
elimation
Answers
Answer:
Step-by-step explanation:
We know x=2y=-1
So -5x-9y=2
<=> -5(1) +(-4)(1) - (y) =2
<=> -9- (y)=2
<=> y=-9-2
<=> y=-11
P/s: -9y= -8y-y = -4x-y = (-4)(1)-y
ok, i'm done. Thank to me :>
What is the value of the expression
1/4 (16 + 9)-h
when g = 4 and n = 2?
o
B)
5
OC) 3
D) 5
Answers
1/4(16+9)-2
1/4(20)-2
5-2
3
rearranging formulae y=4x+3
Answers
Step-by-step explanation:
y = 4x + 3
subtract 3 on both sides of equation
y - 3 = 4x + 3 - 3
y - 3 = 4x
divide the equation by 4 on both sides
\frac{y - 3}{4} = \frac{4x}{4}4y−3=44x
x = \frac{y - 3}{4}4y−3
DONE.
what is the equation of the line that passes through the point (4, 8) and has a slope of 0?
Answers
Answer:
y=8.
Step-by-step explanation:
1) if according to the condition slope=0, then the slope-interception form of the required equation is: y=i, where i - interception;
2) if according to the condition the point (4;8) belongs to the required equation, then the required equation is: y=8
Determine the number of solutions you will have for the system: 1/3x+y=2 and 3y=6-x
One solution.
No solutions.
Infinite solutions.
Impossible to determine.
Answers
Answer:
infinity solution
solution:
-x-3y=-6
x+3y=6
Rewrite 4/6 and 1/3 as a unite rate
Answers
Answer: B
Step-by-step explanation: Hope this helps :)
Which diagram is NOT a good model of 2÷1/8
Answers
Answer:
16 i believe
Step-by-step explanation:
HELP ASAP
Find the slope from the following points.
(-2, 12) (4, -6)
Answers
Answer:
-3
Step-by-step explanation:
Slope formula
The recipe for grandmas famous apple pie calls for 2 cups of flour 1 egg and 3/4 cup of sugar. You accidently use 1 cup of sugar. To keep the quantities proportional how many cups of flour and eggs do you need?
Answers
Answer:
I think 2 1/2 for flour and 2 eggs
31X +3-65X -33-75-10 X
Answers
Answer:
-44x - 105
Step-by-step explanation:
1) Add the numbers
3 1 − 1 0 5 − 6 5 − 1 0
2) Combine like terms
-44x - 105
What is the equation of this line?
A y= 6x - 4
B y= 1/4 x -6
C y=6x - 1/4
D y= 4x - 6
Answers
Answer:
the answer is D pls brainliesttt
Is that the right answer
Answers
Answer:
I believe so!
Step-by-step explanation: makes since to me!!
If the probability that the Islanders will beat the Rangers in a game is 5/6, what is the probability that the Islanders will win at most two out of five games in a series against the Rangers? Round your answer to the nearest thousandth.
Answers
Answer:
The chance that the Islanders will win n games out of 6 is:
0.47 ^ n + (1 - 0.47) ^ (6 - n) * 6! / n! / (6 - n!)
So, the chance of winning 4 games is 0.205605
the chance of winning 5 games is 0.072932
the chance of winning all 6 games is 0.010779
Adding these together we get 0.289316
Rounding to the nearest thousandth we get 0.289 (or 28.9%)
Mary has saved 17.50 in the past 3 weeks. How much has she saved in one week?
Answers
Answer:
5.83 per week
Step-by-step explanation:
hope this helps
What is the solution set of -12x=-74?
Answers
The solution to -12x = -74 is X = 6.16.
As for a set? Elaborate on what you mean by set please
State if the triangles are similar. If so, how do you know they are similar and complete the similarity
statement
STU ~
Answers
Answer:
b. not similar
Step-by-step explanation:
Side SC of the smaller triangle is ...
96 -57 = 39
So, the side lengths of the small triangle, shortest to longest, are ...
39, 40, 44
Side ST of the larger triangle is ...
44 +64 = 108
So, the side lengths of the large triangle, shortest to longest, are ...
96, 96, 108
These lengths do not have the same ratios as the lengths of the sides in the smaller triangle, so the triangles are not similar.
_____
Additional comment
The larger triangle is isosceles. The smaller triangle is not.