Answers
Answer:
notice the two angles are vertical to each other making them equal to each other
for the first angle add 45 and 15 together to get 60
set 60 = 4x (the other angle using the vertical angle congruence theorem)
solve for x gives us 15
Step-by-step explanation:
Related Questions
The varsity soccer team has 20 players. Three of the players are trained to be goalies while the remaining 17 can play any position. Only 11 of the players can be on the field at once.
(a) We want to find the number of possible groups of 11 players the coach can choose. Is this a
permutation or a combination?
(b) If the coach wanted to choose her 11 starters at random by drawing names from a hat, how many possible groups of 11 starters could she choose?
(c) The coach wants to make sure there is exactly one goalie on the field. How many ways can the
coach choose a lineup of 11 players if exactly 1 player must be a goalie?
Answers
Answer:
Combination.
167960
58344
Step-by-step explanation:
A.)
Choosing 11 players from 20 ; here the order in which the players are chosen does not matter, hence it is a combination problem.
2.)
Using nCr
n = 20 ; selection, r = 11
nCr = n! / (n-r)!r!
20C11 = 20! / 9!11!
20C11 = 167960
3.)
1 goalie 10 players
3C1 * 17C10
3 * 19448
= 58,344 ways
What are these numbers least to greatest ??!!! 8th grade math !!
Answers
Answer:
i gotchu its d
Step-by-step explanation:
hope it helps!
Help me with these two questions please.
Answers
Answer:
bro it's blurry
Step-by-step explanation:
why is it so blurry
please help me!!! i’m so bad at math hahaha
Answers
Answer:
Step-by-step explanation:
64x³-64x²-9x+14
What is the value of 5•(13÷3)÷2? Please answer!!!!!
Answers
Answer: 10.83
Step-by-step explanation:
Pemdas
PLEASE ASAP ILL GIVE BRAINLIEST.
Answers
Cual transformación produce acercamientos de las gráficas al eje de Y en el plano de coordenadas
Answers
Answer:
El eje horizontal en el plano de coordenadas se llama eje-x. El eje vertical se llama eje-y. El punto en el que los dos ejes se intersectan se llama origen.
Step-by-step explanation:
please help i need someone to answer quickkkkk
Answers
y=2x-3 is the answer.
Note that y=2(x+3) is the same as y=2x+6, which has a slope of 2. Any parallel line must also have a slope of 2, so the answer must be either C or D. Since option D is the same line and will have points in common with the original line, the answer is C.
A school administrator claims that 85% of the students at his large school plan to attend college after graduation. The statistics teacher at this school selects a random sample of 50 students from this school and finds that 76% of them plan to attend college after graduation. The administrator would like to know if the data provide convincing evidence that the true proportion of all students from this school who plan to attend college after graduation is less than 85%. What are the values of the test statistic and P-value for this test?
Find the z-table here.
z = –1.78, P-value = 0. 0375
z = –1.78, P-value = 0. 0750
z = 1.78, P-value = 0.0375
z = 1.78, P-value = 0. 0750
Answers
Answer:
The first where z = -1.78 and p-value = 0.0375 would be the correct answer
Hope it helps
Using the z-distribution, it is found that the test statistic and the p-value of the test are given as follows:
z = –1.78, P-value = 0.0375.
What are the hypothesis tested?At the null hypothesis, it is tested if the proportion is of 85%, that is:
[tex]H_0: p = 0.85[/tex]
At the alternative hypothesis, it is tested if it is less than that, hence:
[tex]H_1: p < 0.85[/tex].
What are the test statistic and the p-value?The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.In this problem, we have that the parameters are given as follows:
[tex]n = 50, \overline{p} = 0.76, p = 0.85[/tex]
Hence, the test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.76 - 0.85}{\sqrt{\frac{0.85(0.15)}{50}}}[/tex]
z = -1.78.
Using a z-distribution calculator, considering that we have a left-tailed test, as we are testing if the proportion is less than a value, the p-value is of 0.0375.
More can be learned about the z-distribution at https://brainly.com/question/25890103
#SPJ2
help please and simplify answer in radical form if needed
Answers
Answer:
[tex]16\sqrt{3}\:\mathrm{units^2}[/tex]
Step-by-step explanation:
The area of an equilateral triangle with side length [tex]s[/tex] is equal to [tex]\frac{\sqrt{3}}{4}s^2[/tex]. Since the perimeter is 24 units and there are three equal sides to an equilateral triangle, each side is [tex]24\div 3=8[/tex] units.
Substituting in this value, we get:
[tex]\frac{\sqrt{3}}{4}8^2=\frac{64\sqrt{3}}{4}=\boxed{16\sqrt{3}}[/tex]
Could use sum help please
Answers
Answer:
I need help with the same thing-
Step-by-step explanation:
Janine has 48 hockey cards in one book and 105 hockey cards in another book. The hockey cards come in packages of 5 cards. If Janine bought all of her hockey cards in packages, how many packages did she buy?
Answers
Answer: 31
Step-by-step explanation:
Janine has 48 hockey cards in one book and 105 hockey cards in another book. Therefore, the total hockey cards will be:
= 48 + 105
= 153 hockey cards
Since the hockey cards come in packages of 5 cards, the number of packages that she will buy will be:
= 153/5
= 30 3/5
= 31
Therefore, she'll buy 31 packages
Two forces of 960 pounds and 670 pounds act simultaneously on an object. The angle between the two forces is 34 degrees find the magnitude of the resultant to the nearset tenth.
Answers
Answer:
1561
Step-by-step explanation:
Which of the following is a pair
of equivalent radical expressions?
Answers
The radicals [tex]\sqrt{180}[/tex] and [tex]3\sqrt{20}[/tex] are equivalent.
What is radical?
A radical, or root, is the mathematical opposite of an exponent, in the same sense that addition is the opposite of subtraction.
Which option shows equivalent radical?The value of [tex]\sqrt{54}[/tex] is [tex]3\sqrt{6}[/tex] which is not equivalent to [tex]9\sqrt{6}[/tex] .
The value of [tex]\sqrt{180}[/tex] is [tex]6\sqrt{5}[/tex].
The value of [tex]3\sqrt{20}[/tex] is [tex]6\sqrt{5}[/tex].
The radicals [tex]\sqrt{180}[/tex] and [tex]3\sqrt{20}[/tex] are equivalent.
Therefore, the correct option is b.
Lean more: https://brainly.com/question/12861577
#SPJ2
1. Mary noticed 5 ants in her pantry on Monday. On Tuesday she counted 15 ants in the pantry. On Wednesday she counted 45 ants in the pantry,
Day Ants
Monday 0 5
Tuesday 1 15
Wednesday 2 45
Part A Determine an exponential function model (y=ab) to represent the number of ants in the pantry in terms of the number of elapsed days. Explain how you arrived at your model.
Part B Does the problem situation represent exponential growth or decay? Justify your reasoning.
Answers
so what is really the answer?
find the measure of the arc or angle indicated. assume that lines which appear tangent are tangent. just enter the number.
Answers
Answer:
C. 60°
Step-by-step explanation:
The vertical angle formed inside a circle when two chords intersect each other is equal to half the sum of the measures of the intercepted arcs, based on the intersecting chords angle measure theorem.
Thus:
90° = ½(120° + arc TA)
Multiply both sides by 2
2*90 = 120 + arc TA
180 = 120 + arc TA
Subtract 120 from each side
180 - 120 = arc TA
60° = arc TA
Arc TA = 60°
Can someone help me out with the last three, will mark as brainliest if correct!
Answers
Answer:
x = 65
y = 71
z = 44
Step-by-step explanation:
y = 71 because If two parallel lines are cut by a transversal, then the alternate interior angles formed are congruent
if i got 576 pets and then i leave 111 pets and then add another 890 how much do i have in total
Answers
Answer:
1355 pets
Step-by-step explanation:
576 pets - 111 pets = 465 pets
465 pets + 890 pets = 1355 pets
Answer:
1355 pets
Step-by-step explanation:
how many games did you bowl? does this question a statistical question. and why
Answers
Answer:
what does that mean I need more information
I need more info to answer the question
Somebody help me with this
Answers
Answer:
D s>350000
Step-by-step explanation:
The difference in base salary is 7,000 (45,000-38,000). To earn an additional 7,000, sales must be at least 350,000.
350000 x.02 (2% commission) is 7,000
Marking brainliest!
Don’t use the internet pls!
Answers
I would say based on Lincoln's success and that Lincoln helped inspire Martin. Lincoln won the Civil War which helped open the minds of other people who were pro-slavery so that's what I mean about the success.
What is the length of each segment?
Segment AB: from A(-2,1) to B(-2, 5)
Answers
Answer:
[tex]length = \sqrt{ {( - 2 - ( - 2))}^{2} + {(5 - 1)}^{2} } \\ = \sqrt{16} \\ = 4 \: units[/tex]
Answer:
4 units
Step-by-step explanation:
Order these numbers from least to greatest: -4, 1/4, 0, 4, -3& 1/2, 7/4, -5/4
Answers
Answer:
-4 < -3 < -5/4 < 0 < 1/4 < 1/2 < 7/4 < 4
Step-by-step explanation:
Answer:
In order of least to greatest. -4, -3 1/2, -5/4, 0, 1/4, 7/4, 4
Step-by-step explanation:
PLEASE HELP ME LOL (with the word problem in the picture)
Also don’t put the answer in a link
Answers
Answer:212
Step-by-step explanation:
Answer:
It is 278cm
Step-by-step explanation:
Add 220cm and 58cm
The sum of the interior angles of the 10-sided polygon on the left is °
Answers
Answer:
1440 it is right because
Step-by-step explanation:
Decagon is a 10-sided polygon.
Formula to find the sum of interior angles of a n-sided polygon is
= (n - 2) ⋅ 180°
By using the formula, sum of the interior angles of the given decagon (10-sided polygon) is
= (10 - 2) ⋅ 180°
= 8 ⋅ 180°
= 1440°
Answer:
The answer is indeed 1440.
Step-by-step explanation:
do the data in the table represent a direct variation or an inverse variation write an equation to model the data in the table x 1,2,5,10 y 6,12,30,60
Answers
Answer:
Step-by-step explanation:
y = 6X
so this is a direct variation , b/c as X goes up, so does Y
The equation that models the data is y = 6x
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
To determine whether the data in the table represents a direct or inverse variation, we need to check whether the ratio of x to y is constant.
When we divide each y-value by its corresponding x-value, we get the ratios:
6/1 = 6
12/2 = 6
30/5 = 6
60/10 = 6
We see that the ratio of y to x is constant, which means that the data represents a direct variation.
To write an equation to model the data in the table, we can use the formula for direct variation, which is:
y = kx
where k is the constant of variation.
To find k, we can use any of the given data pairs.
For example, we can use the first pair (x = 1, y = 6):
6 = k(1)
Solving for k, we get:
k = 6/1 = 6
Thus,
The equation that models the data is y = 6x
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ3
helpmiiiiiiiiiiiiiiiiiiiiiiiiii
Answers
Answer:
[tex]2x - 3y = 5 - - - (a) \\ 5x = 4y + 14 \\ 5x - 4y = 14- - - (b) \\ 5 \times (a) - 2 \times (b) : \\ - 7y = - 3 \\ y = \frac{3}{7} \\ x = \frac{22}{7} [/tex]
Answer:
SO not sure if you want me to solve the equation after, but if it's just asking for the matrix method then here ya go
Step-by-step explanation:
SO, first equation is already in matrix form
Second equation = -5x + 4y = -14
So your answer is:
2x - 3y = 5
-5x + 4y = -14
ONLY NEED ANSWER FOR PART B PLEASE AND THANK U!!
Windows on the International Space Station are shown below. Suppose the long base of the window is 15.2 feet and the short base is 11.2 feet. The perpendicular height from one base to the other base is 8.4 feet. Draw one of the trapezoid-shaped windows on grid paper and label its dimensions. Describe the process you would use to find the area of one trapezoid-shaped window. (2 points)
Calculate the area of the window using the dimensions given in Part A. Show your work and explain your reasoning. (4 points)
Answers
Answer:
The formula is Area = base+base/2 x height.
Step-by-step explanation:
This means that we need to add both bases, then divide that by 2. The quotient of that gets multiplied by the height, and you have your answer.
Answer:
½h(a+b)Step-by-step explanation:
½×8.4(11.2+15.2)
4.2 × 26.4
105.68
Determine the equation of the line parallel to the line y=34x+2
y=3/4x+2 that passes through the point (4, -3).
Answers
Answer:
y = 34x - 139 (y = 34x + 2)
y = [tex]\frac{3}{4}[/tex]x - 6 (y = 3/4x +2)
Step-by-step explanation:
(I'm not sure if the two equations were the same or not, but I provided the answers just in case.) Parallel lines are two lines that have the same plane and slope but never intersect. To find the equation, use the formula y - [tex]y_{1}[/tex] = m (x - [tex]x_{1}[/tex])
matthew lives 6 miles east of the school drew lives 8 miles north of the school. what is the shortest distance between the two houses? A. Two miles b. 10 miles c. 100 miles d. 4 miles
Answers
Answer:
Step-by-step explanation:
2miles
The required shortest between the two houses is given as 10 miles. Option B is correct.
What are Pythagorean triplets?In a right-angled triangle, its side, such as the hypotenuse, is perpendicular, and the base is Pythagorean triplets.
Here,
Matthew lives 6 miles east of the school drew lives 8 miles north of the school.
Let's assume, the position of Mathew and drew house create the right angle with the school,
hypotenuse distance between Mather and Drew's house be x,
Applying the Pythagoras theorem,
x = √[8² + 6²]
x = √[100]
x = 10 miles
Thus, the required shortest between the two houses is given as 10 miles. Option B is correct.
Learn more about Pythagorean triplets here:
brainly.com/question/22160915
#SPJ2