Answer:
x = 54° , y = 29°
Step-by-step explanation:
The sum of the 3 angles in Δ ABC = 180° then
x = 180° - (72 + 54)° = 180° - 126° = 54°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
x is an exterior angle of Δ CQR , then
y + 25° = x
y + 25° = 54° ( subtract 25° from both sides )
y = 29°
Answer:
x = 54
y = 29
Step-by-step explanation:
First, find the magnitude of x. To do this, add the angles inside triangle ABC, which means to add 72 + 54 + x which is equal to 180 because of the rule, the sum of the interior angles of a triangle is 180. So, when the equation is simplified, you get the answer as x = 54. Then, find the magnitude of y. The magnitude of an angle drawn around a point on a straight line is always 360, and the magnitude of the same point, but only on one side of the straight line is always 180. So, we can say that the unnamed angle in the triangle CQR is 180-x, which means 180-54 because we got x as 54 earlier. Therefore, the magnitude of the unnamed angle is 126. Now, apply the same rule we used before, the sum of the interior angles of a triangle is 180, to the triangle QCR. 25 + 126 + y = 180. When this is simplified, 29 is obtained.
To find x,
72 + 54 + x = 180 (the sum of the interior angles of a triangle is 180)
126 + x = 180
126 + x - 126 = 180 - 126
x = 54
To find y,
25 + 126 + y = 180
151 + y = 180
151 + y - 151 = 180 - 151
y = 29
A water tank has two valves, one for inlet pipe and the other is outlet pipe. If the tank is empty the inlet valve is
opened, the tank will be full of water after 5 hours. If the tank is full and the outlet valved is opened, the tank
will be emptied in 8 hours. Suppose the tank is empty and both valves are opened, in how many hours will the
tank be full?
Let V be the volume of the tank. The inlet pipe fills the tank at a rate of
V / (5 hours) = 0.2V / hour
and the outlet pipe drains it at a rate of
V / (8 hours) = 0.125V / hour
With both valves open, the net rate of water entering the tank is
(0.2V - 0.125V ) / hour = 0.075V / hour
If t is the time it takes for the tank to be full, then
(0.075V ) / hour • t = V
Solve for t :
t = V / ((0.075V ) / hour)
t = 1/0.075 hour
t ≈ 13.333 hours
please help. i’ll give 20 pt + brainliest.
help with 16 and 17
Answer:
qno 16= 1/2
qno17 = 417 are the answers........
Item 1
Joanna has of a gallon of milk left that has an expiration date in 6 days. If she splits the milk
equally among her next 6 bowls of cereal, how much milk will she use in each bowl?
Answer:
Joanna will use 1 gallon of milk in each bowl.
Step-by-step explanation:
Divide 6 into 6 bowls to get 1
Find the values of x and y.
т
>
75°
45
(6x + 3)
Answer:
X=12°
y=60°
Step-by-step explanation:
75=6x+3
x=12°
y=180-(45+75)
y=60°
A number is 120 less than 965. Find the number.
Answer:
845
Step-by-step explanation:
I think that's what it's asking??
Answer:
845
Step-by-step explanation:
We are looking for a new number which is 120 less than 965.
We will get the new number by subtracting 120 from 965.
We write it down as:
965-120=845
And finally the solution for: What number is 120 less than 965?
is 845
Have a good day :)
Please check this out #TeamSeas
2 root 5 x 5 root 5 sgsvbhmdhmcbjkd jklcdvncbcbxcvzbvk
Answer:
ummm?
Step-by-step explanation:
Answer:
Something
Step-by-step explanation:
I have no idea what u just asked
12 lightbulbs are tested to see if they last as long as a manufacturer claims they do three lightbulbs failed a test two light bulbs are selected at random without replacement find the probability that both light bulbs failed the test
Using the hypergeometric distribution, it is found that there is a 0.0455 = 4.55% probability that both light bulbs failed the test.
The bulbs are chosen without replacement, and this is why the hypergeometric distribution is used to find the probability.
Hypergeometric distribution:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. N is the size of the population. n is the size of the sample. k is the total number of desired outcomes.In this problem:
12 bulbs, thus [tex]N = 12[/tex]3 failed the test, thus [tex]k = 3[/tex].2 are selected, thus [tex]n = 2[/tex].The probability that both failed the test is P(X = 2), thus:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,12,2,3) = \frac{C_{3,2}C_{9,0}}{C_{12,2}} = 0.0455[/tex]
0.0455 = 4.55% probability that both light bulbs failed the test.
A similar problem is given at https://brainly.com/question/24826394
Can you determine each slope-intercept equation and type the correct code? Please remember to type in ALL CAPS with no spaces.
Once AGAIN!
Answer:
Step-by-step explanation:
Guys please help w 3,6,9,12,15&14 PLEASE (7thgardemath)
Answer:
3) 7x + 4
6) 4 + 5x
9) 8y
12) 4y
14) 23 + 4x
15) 8x + 14
Step-by-step explanation:
Peter brought 8 lemons for 6 dollars each lemon was the same price what was the cost for 1 lemon.
Answer:
75 cents
Step-by-step explanation:
We can use a ratio to solve
8 lemons 1 lemon
------------- = ------------
6 dollars x dollars
Using cross products
8x = 6*1
8x = 6
Divide by 8
8x/8 = 6/8
x = .75
One lemon costs .75
A box of 15 cookies costs $9.
What is the cost for 1 cookie?
$_____
Answer:
15 box of cookies =$9
1 box of cookie = $9/15=$0.6
Answer:
.6
Step-by-step explanation:
9÷15 = 0.6
No Link or I’m blocking you :)
Answer:
- 55Step-by-step explanation:
20 - 15(2²· 5/4) = Exponent20 - 15(4 · 5/4) = Parenthesis20 - 15(5) = Multiplication20 - 75 = Subtraction- 55How can you find the unit rate?
Answer:
Understand unit rate. The unit rate is a special type of ratio in which the two separate measurements are compared and expressed as a quantity of one.
Look at the data. The problem must have two terms, and you must be asked to determine how much of one term exists per unit of the other term.
Rewrite the data as a division problem.
Step-by-step explanation:
Can you help me solve pleas
CAN SOMEONE HELP ME WITH THIS EQUATION?
Answer:
82.96 people/km^2
Step-by-step explanation:
people / square km
3.70 x 10^9
----------------- =
4.46 x 10^7
3.70 x 10^2
----------------
4.46
0.8295... x 100 = 82.959641 or rounded 82.96
HELP ME PLEASE IM CRYING
You add a number to (–3) and the sum is negative. List four possible numbers you
might have added and four you could not have added.
Answer:
Four possible numbers
-4
-32
-2
-10
Four numbers that are not possible
100
120
20
10
Step-by-step explanation:
I choose the 4 possible numbers because if you add a negative to a negative, the answer will always be a negative. However if you added a positive like 100 to -3, the answer wouldn't be negative so that's why I chose those numbers.
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
guys pls help me!!!!!!
Answer:
it's 22 degrees ..............
write the volume of a cylinder with a base radius 3 m and height 8 m in terms of pi
Show your work and leave your answer it terms of pi
Answer:
72π m³Step-by-step explanation:
Cylinder volume:
V = πr²hSubstitute the values of r and h:
V = π(3²)(8) = 72π m³________
[tex] \: [/tex]
V = [tex]\pi[/tex] × r² × h
V = [tex]\pi[/tex] × 3² × 8
V = [tex]\pi[/tex] × 9 × 8
V = 72[tex]\pi[/tex]m³✔
complete the simpliflication:
please help giving brainlest
Answer:
Step-by-step explanation:
Question 1 (6 points)
If given the following situation;
At a fair, each person can spin two wheels of chance. The first wheel has the
numbers 1, 2, and 3. The second wheel has the letters A and B.
Explain how you know if this game of chance is based on simple or compound
probability.
Answer
im struggling too ;c
Step-by-step explanation:
en una reunión de 162 alumnos había 15 hombres mas que 6 veces las mujeres ¿cuantos hombres y cuantas mujeres habra?
This shows that there are 141 men and 21 women in the meeting
Let the number of men present be x
Let the number of women present be y
If the total number of students present in the meeting is 162, hence;
x + y = 162 ............ 1
If there were 15 men more than 6 times the women, then;
x = 6y + 15 ...................2
Substitute equation 2 into 1:
6y + 15 + y = 162
7y + 15 = 162
7y = 162 - 15
7y = 147
y = 21
Recall that x = 6y + 15
x = 6(21) + 15
x = 126 + 15
x = 141
This shows that there are 141 men and 21 women in the meeting
Learn more here: https://brainly.com/question/13805464
2 de secundaria pajina 25 contestada
Can someone please write the points in a notebook please I really need help
Answer:
Step-by-step explanation:
Write the null and alternative hypothesis which would pertain to a hypothesis test described in each scenario last year politicians average 2000 trouble hours this year with an election occurring it is expected that they will travel more hours
Considering the situation given, it is found that:
The null hypothesis is [tex]H_0: \mu = 2000[/tex]The alternative hypothesis is: [tex]H_1: \mu > 2000[/tex].At the null hypothesis, we test if they average the same amount of trouble hours as last year, that is, of 2000 trouble hours, thus:
[tex]H_0: \mu = 2000[/tex]
At the alternative hypothesis, we test if this amount has increased, that is:
[tex]H_1: \mu > 2000[/tex]
A similar problem is given at https://brainly.com/question/23531534
Can someone tell me the answer to this
Answer choice D is incorrect
Answer:
A
Step-by-step explanation:
It's going to get smaller
Solve for b. Express your answer as an integer or integers or in simplest radical form. -165= -3-6b^3
Fastest and correct wins brainliest
PLS HELP DUE IN 1 HOUR
write the expression using positive exponents
1/3^-5
Explanation:
The rule used is [tex]\left(\frac{a}{b}\right)^{-c} = \left(\frac{b}{a}\right)^{c}[/tex]
That rule says to go from a negative exponent to a positive exponent, we apply the reciprocal of the fraction.
So,
[tex]\left(\frac{1}{3}\right)^{-5} = \left(\frac{3}{1}\right)^{5} = 3^5[/tex]
Pls someone help me
Answer:
Step-by-step explanation:
The answer is 10
Answer:
Your answer is [tex]\sqrt{52}[/tex] or 7.21110255093...
Step-by-step explanation:
[tex]A^{2} + B^{2} = C^{2}[/tex]
[tex]4^{2} + 6^{2} = C^{2}[/tex]
16 + 36 = [tex]C^{2}[/tex]
[tex]C^{2}[/tex] = 52
C = [tex]\sqrt{52}[/tex]
PLS help I will mark brainiest and say thanks and give five stars.
Answer:
m<BEC=80º
Step-by-step explanation:
a line is 180º total
180-70-30=80
Answer:
BEC = 80°
Step-by-step explanation:
Supplementary = 180°
70 + 30 = 100
180 - 100 = 80
Hope this helps! Pls give brainliest!