Answers
An isosceles right triangle has two congruent angles and a right angle
It is true that the base angle of an isosceles right triangle is 45 degrees
How to determine the base angle?From the question, we understand that:
Triangle type = isosceles right triangle
The sum of angles in a triangle is:
x + y + z = 180
Assume the triangle is right-angled at z.
So, we have;
z = 90
The equation becomes
x + y + 90 = 180
Subtract 90 from both sides
x + y = 90
The triangle is an isosceles triangle.
So, we have: x = y
The equation becomes
x + x = 90
2x = 90
Divide by 2
x = 45
Hence, it is true that the base angle of an isosceles right triangle is 45 degrees
Read more about isosceles right triangle at:
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Related Questions
MATH MIDDLE SCHOOL ASAP due in 10 mins no explaining to do just answer thank you giving brainlist :)
Answers
Answer:
y-9=8
Step-by-step explanation:
A spinner contains four sections: red, blue, green, and yellow. Joaquin spins the spinner twice. The set of outcomes is given as S = {RB, RG, RY, RR, BR, BG, BY, BB, GR, GB, GY, GG, YR, YB, YG, YY}. If the random variable is "yellow (Y)," which of the following is the correct probability distribution? A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0. 5625, 0. 375, 0. 625. A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0. 75, 0. 25, 0. A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0. 5, 0. 375, 0. 125. A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0. 5, 0. 25, 0. 25.
Answers
The correct probability distribution of the random variable tracking "yellow (Y)" color is given by: Option A:
Yellow:x Probability
0 9/16 = 0.5625
1 6/16 = 0.375
2 1/16 = 0.0625
What is probability distribution?Probability distribution of a random variable is the collection of value and its probability pair for values of that considered random variable.
It might be a function, a table etc.
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
For this case, the experiment consists of a spinner with four color sections, and is spun twice.
The sample space is:
S = {RB, RG, RY, RR, BR, BG, BY, BB, GR, GB, GY, GG, YR, YB, YG, YY}
Let we take:
X = the number of times out of two spins the color yellow occurs in a pair of spin of the considered spinner.
Then, as there are only two spin going to happen, so the values X can take are:
X = 0 (no yellow color in both spin)X = 1 (one of the spin ended up yellow, and other doesn't)X = 2 (both the spins resulted in yellow color).Let we take:
A = event that in first spin of the considered spinner, color yellow occurs.B = event that in second spin of the considered spinner, color yellow occurs.Then, as there are four colors equally likely, so we get:
P(A) = 1/4 (yellow color can occur in 1 way in one spin, and total number of colors that can occur = 4).
Similarly, we get P(B) = 1/4
Also, as first and second spins are independent of each other's result, so both A and B are independent events.
Getting the probabilities for each value of X:
Case 1: X = 0[tex]P(X = 0) = P(A' \cap B') = P(A')P(B') = (1-P(A))(1-P(B)) \\P(X = 0) = \dfrac{3}{4} \times \dfrac{3}{4}\\\\P(X = 0) = \dfrac{9}{16}[/tex]
(where A' and B' are complement of A and B, and as (A and B) are independent, so as (A' and B') and (A' and B) and (A and B') )
Case 2: X = 1So either first spin had yellow color, or second, so we get:
[tex]P(X = 1) = P((A' \cap B) \cup (A \cap B'))\\ P(X=1) = P(A' \cap B) + P(A \cap B') - P((A' \cap B) \cap (A \cap B'))\\P(X=1) = P(A')P(B) + P(A)P(B') -0\\P(X=1) = \dfrac{3}{4} \times \dfrac{1}{4} + \dfrac{1}{4} \times \dfrac{3}{4} - 0\\\\P(X = 1) = \dfrac{6}{16}[/tex]
Case 3: X = 2Both event A and B occured this time, so we get:
[tex]P(X = 2) = P(A \cap B) = P(A)P(B) \\P(X = 0) = \dfrac{1}{4} \times \dfrac{1}{4}\\\\P(X = 0) = \dfrac{1}{16}[/tex]
Thus, the probability distribution of X is:
X=x P(X = x)
0 9/16 = 0.5625
1 6/16 = 0.375
2 1/16 = 0.0625
Learn more about probability here:
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Thank you to who ever answers this
Answers
Answer:
The answer is G.
Step-by-step explanation:
Trust me.
Answer:
J is the answer
Step-by-step explanation:
I had given the explanation but brainly deleted it for having a link.
Just use this:
"What is a box and whisker plot?
A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum.
In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median. The whiskers go from each quartile to the minimum or maximum.
Example: Finding the five-number summary
A sample of 101010 boxes of raisins has these weights (in grams):
252525, 282828, 292929, 292929, 303030, 343434, 353535, 353535, 373737, 383838
Make a box plot of the data.
Step 1: Order the data from smallest to largest.
Our data is already in order.
252525, 282828, 292929, 292929, 303030, 343434, 353535, 353535, 373737, 383838
Step 2: Find the median.
The median is the mean of the middle two numbers:
252525, 282828, 292929, 292929, \large{30}3030, \large{34}3434, 353535, 353535, 373737, 383838
\dfrac{30+34}{2}=32
2
30+34
=32start fraction, 30, plus, 34, divided by, 2, end fraction, equals, 32
The median is 323232.
Step 3: Find the quartiles.
The first quartile is the median of the data points to the left of the median.
252525, 282828, \large{29}2929, 292929, 303030
Q_1=29Q
1
=29Q, start subscript, 1, end subscript, equals, 29
The third quartile is the median of the data points to the right of the median.
343434, 353535, \large{35}3535, 373737, 383838
Q_3=35Q
3
=35Q, start subscript, 3, end subscript, equals, 35
Step 4: Complete the five-number summary by finding the min and the max.
The min is the smallest data point, which is 252525.
The max is the largest data point, which is 383838.
The five-number summary is 252525, 292929, 323232, 353535, 383838.
Example (continued): Making a box plot
Let's make a box plot for the same dataset from above.
Step 1: Scale and label an axis that fits the five-number summary.
Step 2: Draw a box from Q_1Q
1
Q, start subscript, 1, end subscript to Q_3Q
3
Q, start subscript, 3, end subscript with a vertical line through the median.
Recall that Q_1=29Q
1
=29Q, start subscript, 1, end subscript, equals, 29, the median is 323232, and Q_3=35.Q
3
=35.Q, start subscript, 3, end subscript, equals, 35, point
Step 3: Draw a whisker from Q_1Q
1
Q, start subscript, 1, end subscript to the min and from Q_3Q
3
Q, start subscript, 3, end subscript to the max.
Recall that the min is 252525 and the max is 383838.
We don't need the labels on the final product:
Want to learn more about making box and whisker plots? Check out this video.
Want to practice making box plots? Check out this exercise."
PLEASE HELP ME!!!!!!!
Answers
Answer:
10 hours
Step-by-step explanation:
multiply b 2 then divided the miles and time and add to the total to get the time and miles you need
[tex]y+2=(x^2/2)-2sin(y)[/tex]
Answers
the assumption being that "y" is encapsulating a function in "x" terms.
[tex]y+2=\cfrac{x^2}{2}-2sin(y)\implies \stackrel{\textit{taking the derivative to both sides}}{\cfrac{dy}{dx}+0=\cfrac{1}{2}(2x)\underset{chain~rule}{-2cos(y)\cdot \cfrac{dy}{dx}}} \\\\\\ \cfrac{dy}{dx}=x-2cos(y)\cfrac{dy}{dx}\implies \cfrac{dy}{dx}+2cos(y)\cfrac{dy}{dx}=x \\\\\\ \cfrac{dy}{dx}\left[ 1+2cos(y) \right]=x\implies \cfrac{dy}{dx}=\cfrac{x}{1+2cos(y)}[/tex]
pls help i’ll reward brainliest
Answers
Answer:
A. y = 2x + 2
Step-by-step explanation:
For this function....
f(0) = 2
f(1) = 4
f(2) = 6
f(3) = 8
I hope this helps!
for every 1/2 cup portion of baby cereal you will need 4 oz of milk. how many ounces of milk will you need to prepare 20 portions
Answers
Answer:
80 oz
Step-by-step explanation:
20 portions times 4 oz is 80 oz
Help plsss thankss
what do the coefficients of a quadratic function in standard form reveal about its graph?
Answers
Answer:
The coefficient of the quadratic term ,a,determines how wide or narrow the graphs are, and
weather the graph turns upward or downward
Step-by-step explanation:
this is your answer
students were grouped into 4 classrooms with an average of 33.5 students per classroom. if the students were regrouped into 5 classrooms, what would be the average number of students in each room?
Answers
Answer:
26.8
Step-by-step explanation:
Because 33.5 was the average of how many students were in a classroom (if there were 4 classrooms), then 33.5 is can somewhat be the average of how many students were in one classroom; 1/4 of the classrooms can hold an average of 33.5.
Total students that were divided into 4 classrooms :
33.5 × 4 = 134
So if there is 134 students that will be grouped into 5 different classrooms, divide 134 by 5 to find the average amount of students that will be grouped.
134 ÷ 5 = 26.8
So, the average amount of students that will be grouped if they were divided into 5 classrooms would be 26.8 .
Hope this helped !
HELP ASAP PLEASE NO LINKS
Jason researched the number of women and men enrolled in colleges in the United States.
. MO - 0.081 +6.18 represents the number of men enrolled, in millions
• WO) - 0.21 +4.93 represents the number of women enrolled, in millions
. t represents the number of years after 1975.
Which expression represents how many more women than men (in millions) were enrolled in colleges in the United States in 2001?
A) 0.39(2001) + 11.11
B 0.39(26) +11.11
(C
0.13(2001) - 1.25
D
0.13(26) - 1.25
Answers
Answer:
C
Step-by-step explanation:
0.081+6.18 =6.261
0.21+4.93 =5.14
6.261 - 5.14 = 0.13
Two negative integers are 8 units apart on the number line and have a product of 308.
Which equation could be used to determine x, the smaller negative integer?
x2 + 8x – 308 = 0
x2 – 8x + 308 = 0
x2 + 8x + 308 = 0
x2 − 8x − 308 = 0
Answers
Answer:
X²-8x+308
Step-by-step explanation:
two negative integers -x and -x= +x²
8units apart=-8x
all equals 308
X²-8x=308
bring everything to the LHS
X²-8x-308=0
please help!!!!!!!11
Answers
Answer:
a = 6 , b = 5
Step-by-step explanation:
using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] = [tex]\sqrt{ab}[/tex]
then
[tex]\sqrt{180}[/tex]
= [tex]\sqrt{36(5)}[/tex]
= [tex]\sqrt{36}[/tex] × [tex]\sqrt{5}[/tex]
= 6[tex]\sqrt{5}[/tex]
with a = 6 and b = 5
b= 5
these are the answers hope they are correct
Find the surface area of the prism.
13 m
5 m
11 m
12 m
The surface area is
(Type a whole number or a decimal.)
Answers
Which set of steps can be used to prove the sine sum identity, sin(x y) = sin(x)cos(y) cos(x)sin(y)?.
Answers
The trigonometry identity sin(x + y) = sinx cosy + cosx siny.
What is sin(x + y) identity in trigonometry?sin(x + y) is one of the identities in trigonometry for compound angles.
The angle (x + y) represents the compound angles.
sin(x + y) = sinx cosy + cosx siny
To prove
sin(x + y) = sinx cosy + cosx siny
Consider OX as a rotating line anti-clockwise. Let angle XOY = a
the making of an acute angle b the rotation in the same direction is
angleYOZ = b , angle XOZ = a + b
From triangle PTR,
∠TPR = 90 - ∠PRT , ∠ROX = a
From the right-angled triangle PQO
sin(a + b) = PQ/OP
= (PT + TQ) / OP
= PT/OP + TQ/OP
= PT/PR × PR/OP + RS/OR × OR/OP
= cos (∠TPR ) sinb + sina cosb
= sina cosb + cosa sinb
if we replace a=x and b=y
Therefore, sin(x + y) = sinx cosy + cosx siny.
Learn more about trigonometry identity;
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can you please help me?
Answers
Answer:
102 dollars
Step-by-step explanation:
If a1= 7 and an = -4an-1 + n then find the value of a5
Answers
Answer:
a₅ = 1701
Step-by-step explanation:
[tex]a_1=7\\\\a_n=-4a_{n-1} + n\\\\a_2 = -4*a_1 + 2\\\\[/tex]
= -4*7 + 2
= -28 + 2
= -26
a₃ = -4a₂ + 3
= -4*(-26) + 3
= 104 + 3
= 107
a₄ = -4a₃ + 4
= -4*107 + 4
= -428 + 4
= -424
a₅ = -4a₄ + 5
= -4*(-424) + 5
= 1696 + 5
= 1701
Which expressions are aquivalent to j + j + 2k ?
Choose all answers that apply:
A 2jk
B 2(j+j+k0
C None of the above
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's see ~
[tex]\qquad \sf \dashrightarrow \:j + j + 2k[/tex]
[tex]\qquad \sf \dashrightarrow \:2j + 2k[/tex]
[tex]\qquad \sf \dashrightarrow \:2(j + k)[/tex]
・．━━━━━━━━━━†━━━━━━━━━━━━．・
Write the log equation as an exponential equation. You do not need to solve for x.
log 5 (5) = 3x
Answers
Answer:
[tex]5=5^{3x}[/tex]
Step-by-step explanation:
[tex]log_5(5)=3x\\\\5=5^{3x}[/tex]
The function f(x) is defined below. What is the end behavior of f(x)?
f(x) = x^4– 47x² + x^3– 45x + 450
Answers
Answer:
Third option
Step-by-step explanation:
Since our leading coeffeicent has a leading even degree, and a positive number,
The end behavior will as
as x approaches oo, and -oo, f(x) approaches oo.
i need help please 100 points
Divide. 8 from 1/3
20
24
12
4
Answers
Answer: B. 24
Step-by-step explanation:
8 / 1/3 =
8 * 3 +
24
Answer:
24
Step-by-step explanation:
8 divided by 1/3=24
1/3x4=1 1/3
1/3x12=4
1/3x24=8
1/3x20=7 1/3
-4x+y=1
2y-2=8x
How many solutions does this have?
a. no solution
b. one solution
c. infinitely many solutions
Answers
Answer:
c. infinotely msny solutions
Answer:
Step-by-step explanation:
y = 4x + 1
2y - 2 = 8x
2(4x + 1) - 2 = 8x
2x + 2 - 2 = 8x
2x + 0 = 8x
6x = 0
x = 0
y = 0 + 1
y = 1
(0, 1)
answer is b. one solution
Complete the table below: Show all your work.
Answers
Answer:
Step-by-step explanation:
(-2, 8)
(-1, 6)
(0, 4)
(1, 2)
(2,0)
to "show work" just plug in each x value into that equation. you will never learn if all you do is copy down answers. i have given you all of the correct answers, and all you need to do is plug in the values for each x value into the equation, multiply then add. good luck man.
Ralph plotted the points (-4, 1) and (-4,-1) on a coordinate grid. What is the distance,
in units, between the points Ralph plotted?
a 1
B -2
C 2
D 0
Answers
A teenager puts $50 into an investment account in January. If by December the balance in the account increases by 17%, what is the amount of money in the account in December?
A.$67.00
B.$58.50
C.$41.50
D.$33.00
Answers
Answer:
58.50
Step-by-step explanation:
C.$58.50
|| ▼ Answer ▼ ||
|| ✪ Solution ✪ ||
Step 1:
In this question, we are given the following:
A teenager puts $50 into an investment account in January.
If by December the balance in the account increases by 17%,
what is the amount of money in the account in December?
Step 2:
In this case, we are going to use:
[tex]Amount=Principal~(~1+\frac{Rate}{100})^{n}[/tex]
Here, Principal = $ [tex]50[/tex]
Rate = 17%
[tex]^{n}(Time)=~From~January~to~December=12=months=1~year[/tex]
Then, we have that:
[tex]Amount=50~(~1+\frac{17}{100})^{1}[/tex]
[tex]Amount=50~(~1+0.17~)^{1}[/tex]
[tex]Amount=50~(~1.17)[/tex]
[tex]Amount=[/tex] $ 58.50 (Option B)
CONCLUSION:
The amount of money in the account in December = $ 58. 50 ( OPTION B )
Hope this helps!
If you have any queries please ask.
Please help i need quick answers
Answers
We see that 24 is split into 8q.
Therefore 8q equals 24 --> 8q = 24 --> q = 24/8 = 3.
So q = 3.
Hope it helped!
1. a) Solve the following quadratic-quadratic system of equations graphically.
y– 3x² +12x = 16
y + 4x²– 16x = -12
b.) GRAPH
c.) verify your solution (s) algebraically.
Answers
Answer:
see explanation
Step-by-step explanation:
look at the photo
Alice has a total of 12 dimes and nickels. She has 2 more nickles than dimes
Answers
The total number of nickles that Alice has got for this case is 14. The total amount of money from those nickle and dimes that Alice hold is $1.9
What are nickles, dimes, quarters and cents?A dollar is further divided into some majorly used parts as:
A cent = 100th part of a dollar = $1/100 = $0.01A nickle= 20th part of a dollar = $1/20 = $0.05A dime = 10th part of a dollar = $1/10 = $0.10A quarter = 4th part of a dollar = $1/4 = $0.25How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For this case, we're specified that:
Alice has a total of 12 dimes and nickels.She has 2 more nickles than dimesSuppose that she has got 'x' nickles.
Then, as it is given that she has 2 more nickles than dimes, therefore, we get:
number of nickles = 2 + number of dimes
x = 2 + 12 = 14
Thus, Alice has got 12 dimes and 14 nickles.
1 dime = $0.1 12 dime = [tex]12 \times 0.1 = \$1.2[/tex]Similarly, we have:
1 nickle = $0.0514 dime = [tex]14 \times 0.05 = \$0.7[/tex]Thus, the total amount of money she got is $1.2 + $0.7 = $1.9
Thus, the total number of nickles that Alice has got for this case is 14. The total amount of money from those nickle and dimes that Alice hold is $1.9
Learn more about forming equations here:
https://brainly.com/question/11938672
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wildflower mix contains several different types of seeds.
cornflower 40
primrose 3
black-eyed Susan 2
poppy 6
baby's breath 12
What is the probability that a randomly selected seed will be a poppy seed?
Answers
Then you would convert decimal fraction by multiplying it by 10.
1
* Write an expression that is equivalent to
1/2a - 4
Answers
Answer:
a - 8
Step-by-step explanation:
1/2 a - 4
if we scale both numbers by the same factor, we will be creating an equivalent expression.
So, let's say we multiply the equation by 2.
1/2 a (2) = 1 a = a
-4 (2) = -8
One equivalent expression would be
a - 8
[If you want to test this out, try plugging in any number for a. For example, if you plug in 10...
1/2 of 10 = 5, 5 - 4 = 1
1 times 10 = 10, 10 - 8 = 2
These answers are the same scaled as the original equation, the answer for the first expression is multiplied by 2 to get the second expression]
Write another example that would use the same properties for each step
Answers
Answer:
I'm sorry but there isn't really any question to be answered