Answers
Answer:
Since this is an isosceles triangle, the angles opposite to the equal sides will also be equal
Therefore,
angle ABC = angle ACB
We are given that angle ACB is 30 degrees
Hence, angle ABC = 30 degrees
We know that according to the angle sum property, the sum of all interior angles of a triangle is 180 degrees
So, angle ABC + angle ACB + angle CAB = 180 degrees
replacing the variables with values we already know
30 + 30 + angle CAB = 180
angle CAB = 180 - 60
angle CAB = 120 degrees
Hence the measure of angle A is 120 degrees
Related Questions
⅔+(-⅓)=?????????????????????
Answers
Answer:
1/3
Step-by-step explanation:
2/3 - 1/3
Since the denominators are the same, we subtract the numerators
1/3
Answer:
1/3
Step-by-step explanation:
What is the cardinal number of the set C={0,5,−4,25,103,56}
Answers
Answer:
I wanna say its Hence n (Q) =7
I may be mistaken
Answer:
6
Step-by-step explanation:
The set is made up of 6 elements. Therefore, the cardinal number is 6.
Which equation has a pair of equivalent ratios?
Answers
Answer:
Option (3)
Step-by-step explanation:
If the two ratios are equivalent then the value of the ratios will be equal.
[tex]\frac{x_1}{y_1}=\frac{x_2}{y_2}[/tex]
Option (1)
[tex]\frac{11}{12}=\frac{44}{46}[/tex]
Simplified form of the fraction [tex]\frac{44}{46}[/tex] is,
[tex]\frac{44}{46}=\frac{22}{23}\times \frac{2}{2}=\frac{22}{23}[/tex]
Therefore, [tex]\frac{11}{12}=\frac{22}{23}[/tex]
Which is not true,
Therefore, option (1) doesn't show the equivalent ratio.
Option (2)
[tex]\frac{36}{40}=\frac{4}{9}[/tex]
Simplified form of [tex]\frac{36}{40}[/tex] is,
[tex]\frac{36}{40}=\frac{9}{10}\times \frac{4}{4}=\frac{9}{10}[/tex]
Therefore, [tex]\frac{4}{9}= \frac{9}{10}[/tex]
Which is not true.
Therefore, option (2) doesn't show the equivalent ratio.
Option (3)
[tex]\frac{1.5}{3}=\frac{12}{24}[/tex]
Since simplified form of [tex]\frac{1.5}{3}[/tex] is,
[tex]\frac{1.5}{3}=0.5[/tex]
And simplified form of [tex]\frac{12}{24}[/tex] is,
[tex]\frac{12}{24}=0.5[/tex]
Therefore, [tex]\frac{1.5}{3}=\frac{12}{24}=0.5[/tex]
Option (3) shows the equivalent ratios.
Option (4)
[tex]\frac{8}{12}=\frac{4}{24}[/tex]
Since, [tex]\frac{8}{12}=\frac{2}{3}\times \frac{4}{4}=\frac{2}{3}[/tex]
And [tex]\frac{4}{24}=\frac{1}{6}\times \frac{4}{4}=\frac{1}{6}[/tex]
But [tex]\frac{2}{3}\neq \frac{1}{6}[/tex]
Therefore, equation in this option doesn't show the equivalent ratios.
What ratios are equivalent to 27:9
Answers
Answer:
3:1,
Step-by-step explanation:
because if you multiple 3x9=27, and 1x9=9 you get 27:9
complete the division. The quotient is 3x^2+__x+__.
Answers
Answer: 3x^2+ -2x+5. I hope this helped
Step-by-step explanation:
PLZZZZ ANSWER QUICKKKKKK BY MIDNIGHTTTT
Answers
45/3 = 15
75/5 = 15
120/8 = 15
150/10 = 15
Find j. 6 + 2(3j – 2) = 4(1 + j)
Answers
Answer:
j=1
Step-by-step explanation:
16. A section of an exam contains four True-False questions. A completed exam paper is selected at random, and the four answers are recorded. a. List all outcomes in the sample space. b. Assuming the outcomes to be equally likely, find the probability that all the answers are the same. c. Assuming the outcomes to be equally likely, find the probability that exactly one of the four answers is "True." d. Assuming the outcomes to be equally likely, find the probability that at most one of the four answers is "True."
Answers
Answer:
a
[ FFFF] , [FFFT] , [FFTF] , [FFTT]
[FTFF] , [FTFT] , [FTTF], [FTTT]
[TFFF] , [TFFT] , [TFTF] , [TFTT]
[TTFF] , [TTFT],[TTTF] , [TTTT]
b
[tex]P(A) = \frac{1}{8}[/tex]
c
[tex]P(B) = \frac{1}{4}[/tex]
d
[tex]P(C) = \frac{5}{16}[/tex]
Step-by-step explanation:
From the question we are told that
The number of True - False question is n = 4
The number of answers recorded are k = 4
Generally the outcomes in the sample space are 16 and they are listed below
[ FFFF] , [FFFT] , [FFTF] , [FFTT]
[FTFF] , [FTFT] , [FTTF], [FTTT]
[TFFF] , [TFFT] , [TFTF] , [TFTT]
[TTFF] , [TTFT],[TTTF] , [TTTT]
Generally from the list of the possible outcome we see that the number of outcome where the answers are the same is 2 i.e [TTTT] and [FFFF]
So the probability that all the answers are the same is mathematically represented as
[tex]P(A) = \frac{2}{16}[/tex]
=> [tex]P(A) = \frac{1}{8}[/tex]
Generally from the list of the possible outcome we see that the number of outcome where exactly one answer is true is 4 i.e [FFTF] , [FFFT],[TFFF] , [FTFF]
So the probability that exactly one of the four answers is "True." is mathematically represented as
[tex]P(B) = \frac{4}{16}[/tex]
=> [tex]P(B) = \frac{1}{4}[/tex]
Generally from the list of the possible outcome we see that the number of outcome where at most one of the four answers is true is 5 i.e [FTFF] , [FFFF] , [FFTF] , [FFFT] ,[TFFF]
So the probability that at most one of the four answers is mathematically represented as
[tex]P(C) = \frac{5}{16}[/tex]
The probabilities of all same, exactly one true, and most one of the four are true is 0.125, 0.25, and 0.3125 respectively.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
A section of an exam contains four True-False questions.
A completed exam paper is selected at random, and the four answers are recorded.
Total event = 16
A. The sample space will be shown in the table below.
[tex]\rm Sample \ space = 16 \ \begin{Bmatrix}FFFF & FFFT & FFTF & FFTT \\FTFF & FTFT & FTTF & FTTT \\TFFF & TFFT & TFTF & TFTT \\TTFF & TTFT & TTTF & TTTT\end{Bmatrix}[/tex]
B. The probability that all the answers are the same will be.
Favorable event = 2 ={(TTTT, FFFF}
Then we have the probability,
[tex]\rm P(B) =\dfrac{2}{16} =\dfrac{1}{8} = 0.125[/tex]
C. The probability that exactly one of the four answers is "True".
Favorable event = 4 {(FFFT, FFTF, FTFF, TFFF}
Then we have the probability,
[tex]\rm P(C) =\dfrac{4}{16} =\dfrac{1}{4} = 0.25[/tex]
D. The probability that at most one of the four answers is "True".
Favorable event = 5 {(FFFF, FFFT, FFTF, FTFF, TFFF}
Then we have the probability,
[tex]\rm P(D) =\dfrac{5}{16} =0.3125[/tex]
More about the probability link is given below.
https://brainly.com/question/795909
Joe told Mickey he got an hourly raise at work and his new rate will be $10.25 per hour. Mickey wants to know what Joe’s hourly rate was before his raise. If r represents the amount of the raise, which expression represents Joe’s hourly rate before his raise?
r minus 10.25
10.25 minus r
10.25 + r
r + 10.25
Answers
Answer:
10.25 minus r
Step-by-step explanation:
because amount of money minus how much the raise was equals what he had before.
Answer:
✨b✨
Step-by-step explanation:
Casey has 8 1/2 yards of fabric she uses 2 1/2 yards to make a pillow and 3 yards to make curtains how much fabric is remaining
Answers
Answer:
3 yards
Step-by-step explanation:
8 1/2 - 2 1/2 = 6
6 - 3 = 3
Your answer is 3.
Please mark as brainliest.
Estimated sum of 71,458
Answers
Answer:
there can be a lot example:
71,000
71,500
71,460
Step-by-step explanation:
Maliah goes to an electronic store. Let y represent the price of a laptop and let x
represent the price of a television. The equation y= 3x + 22 relates the prices.
Which of the following statements are true? Select all that apply.
Answers
Answer:
A and C if this was ABCDE
Step-by-step explanation:
150 times 3 plus 22 would equal 450 plus 22 which is 472,
265 times three is 795 plus 22 is 817,
for the BDE, 175 times 3 is 525 plus 22 is 547, 300 times 3 is 900 plus 22 is 922, and 345 times 3 is 1035 plus 22 is 1057
A container holds 13 pencils, 5 black pens, and 3 blue pens. What is the ratio, in fraction form, of pens to all writing tools?
Answers
Answer:
8/21
Step-by-step explanation:
What does
non-proportional and
proportional
Answers
Answer: i don’t understand the question... are you asking what eacg of them mean?
Step-by-step explanation:
Answer:Proportional: ... How to tell the difference: A proportional graph is a straight line that always goes through the origin. A non-proportional graph is a straight line that does not go through the origin.
Step-by-step explanation:
5/9 is rational or irrational
Answers
Alta dove 9 meters below the ocean’s surface. She then dove 15 meters deeper. She then rose 19 and one-fourth meters. What was her position in relation to the surface of the water?
Answers
Answer: -4 3/4
Step-by-step explanation:
Above is the answer if you have a drop down menu, because I have a drop down menu.
Answer:
B
Step-by-step explanation:
i got it right
Plzz do correctly also worth a lot of points
Answers
Answer:
I believe the Answer is B
I'm really sorry if this is wrong.
Step-by-step explanation:
I tried my best :)
y = 3 in two variable
Answers
Step-by-step explanation:
If Y = 3 is treated as an equation in one variable, then it has a unique solution y= 3. So it is a point on the number line. Given equation Y equal to 3 can be written as 0. x + y = 3, which is a linear equation in two variables x and y.
What is .82 written as a percent?
-8.2%
- 82%
-820% ANSWER QUICK PLS
Answers
Answer:
82
Step-by-step explanation:
get rid of dicemal
Answer: 82%
0.82 as a percent can be written as 82%. Just make 0.82 into an 82%.
0.82 as a fraction can be 82/100.
The answer to the question is 82%.
Hope this helps you!
Help please
What is the slope of the line:
3y - 4 = 5 (x + 2)
Answers
Answer:
The answer is m = 5/3
Step-by-step explanation:
4
X,
f(x) = (2x -6,
{
x < 2
x > 2
8. f(-2) =
9. f(3) =
10. f(5) =
Answers
Answer:
Step-by-step explanation:
Hope it helps
Simplifying radicals maze
Answers
Answer:
sihdhdhdjjdjdjdjdjsjjsjejdjje
The solution to the radical expression √36 is 6.
What is a radical expression?A radical expression is a mathematical expression that contains a radical symbol (√), which represents the square root (or nth root) of a number or variable. The radical symbol is typically followed by a number or expression inside a set of parentheses, which indicates what is being rooted.
The square root of 36 is a number that, when multiplied by itself, equals 36. In this case, we know that the number is 6, because 6 x 6 = 36.
The square root of 36 is simply:
√36 = 6
So the solution of the given radical expression √36 is 6.
To know more about radical expression follow
https://brainly.com/question/28476926
#SPJ2
The complete question is given below.
Solve the radical expression: √36.
Please hurry it’s urgent Thank you
Answers
Answer:
D
Step-by-step explanation:
the answer is the graph on the bottom right corner, 400 pages on the y axis and 16 days on the x axis. 25 pages a day.
hope this helped!
Robert I'm $10 which was 4less than twice which Eric earned how much money did Eric earn
Answers
Answer: Eric earned $7
Step-by-step explanation:
Let's define:
R = money that Robert earned.
E = Money that Eric earned.
Now we want to find how much money did Eric earn.
We know that:
R = $10 = 2*E - $4
Whit this equation, we can find the value of E. So we must isolate the variable E in one side of the equation:
2*E = $10 + $4 = $14
E = $14/2 = $7
Eric earned $7
Helppppppppppp?????!!!!!!
Answers
i’m so happy to help you!
so here’s what we got:
4/5. so we know that 5 is a factor of 100. so when trying to find a decimal, you have to make your fraction a 10 or 100. so in this case, we only have to make the number to 10.
5x2=10, and whatever we do to the top, we mist do to the bottom. (or vice versa) so we now multiply 4x2 to get 8. so your decimal will be 0.8 or 0.80.
have a wonderful day!!
cookiebrookie∞☻
which list shows the triangles in order from greatest area to least area
Answers
Answer:
H - Triangle Z, Triangle X, Triangle Y
Step-by-step explanation:
Triangle X area = rad(66.5) cm^3 ≈ 8.155cm^3
Triangle Y area = 8.15cm^3
Triangle Z area = (17.5/2)cm^3 = 8.75cm^3
8.75cm^3 > 8.155cm^3 > 8.15cm^3
Therefore:
Triangle Z area > Triangle X area > Triangle Y area
In crest view middle school, 12 out.of 16 students are right handed. If there are 400 students in the school, how many are right handed?
Answers
The graph of y=|x−1|+ 7 is reflected across the y-axis and then translated up 1 unit. What is an equation of the transformed graph?
Answers
Answer:
y = |-x-1| + 8.
Step-by-step explanation:
A reflection across the y axis gives the equation y = |-x -1| + 7.
Then a translation up 1 unit gives the equation y = |-x-1| + 8.
PLZZ HELP Will give brainlist plz help its for my 9 week exam
Which property of addition is demonstrated in Step 1 of the problem solution shown below?
A. Associative Property
B. Commutative Property
C. Distributive Property
D. Identity Property
Answers
Answer:
Its commutative property
Step-by-step explanation:
It means u can move stuff around so ya
Lesson 3 Practice Problems Ratios
Answers
Answer:
1. 6 to 2 and 9 to 3
2. Any ratio that is not equivalent to 3 to 1. For example, 4 to 11.
Step-by-step explanation: