Answers
The sum of all the interior angles of a triangle adds up to 180°.
So:
x+114+33 = 180°
Solve for x:
x = 180-114-33
x= 33
Related Questions
I need help with this question.
Answers
Answer: W=V/lh
Step-by-step explanation:
You know that the formula to find the volume is length * width* height.
So l*w*h=V
divide lh on both sides, and you get
W=V/lh, The top right answer
Volume is measured in ________ units.
b
square
c
cubic
d
large
Answers
Answer SI unit would be Cubic meter (m^3)
Step-by-step explanation:
Select the correct answer.
Statement
Reason
1. Draw a line through B that is perpendicular to and
label the point of intersection with as D.
construction
2. In ΔABD, BD = c sin A.
definition of sine in a right triangle
3. In ΔCBD, BD = a sin C.
definition of sine in a right triangle
4. c sin A = a sin C
Substitution Property of Equality
5.
dividing throughout by sin A sin C
6. Draw a line through A that is perpendicular to and
label the point of intersection with as E.
construction
7. In ΔBAE, AE = c sin B.
definition of sine in a right triangle
8. In ΔCAE, AE = b sin C.
definition of sine in a right triangle
9. c sin B = b sin C
Substitution Property of Equality
10.
dividing throughout by sin B sin C
11.
Transitive Property of Equality
What is the missing statement in step 10 of the proof?
Given: ΔABC
with AB = c, BC = a, AC = b
Prove: a/sinA=b/sinB=c/sinC
Answers
Answer:
its d b/sinB=c/sinC
Step-by-step explanation:
hope it helps
Answer: its d b/sinB=c/sinC
Step-by-step explanation: hope I helped :p
3. Look at these digits and answer the questions:
7 4 9 1
a) What is the largest number that you can make with all four digits?
at is the largest even number that you can make with all four digits?
g all four digits, make the smallest number possible: 1
sing all four digits, make the smallest even number possible: Y
Check your answers with a partner.
When you know the value of the digits you can partition a number.
Answers
The largest four-digit number is 9741.
The largest even four-digit number is 9714.
The smallest four-digit number is 1479.
What are numbers?Numbers are representations of quantity or quality.
We have many types of numbers such as,
- Real numbers
- Rational numbers
- Irrational numbers
- Complex numbers
- Even numbers
- Odd numbers
- Whole numbers
We have,
Numbers = 7, 4, 9, 1
a)
We can make four-digit numbers such as,
9741, 9471, 9147, and more.
The largest four-digit we can have is,
= 9741
b)
We can make even four-digit numbers as,
= 9714, 7914, 1794
The largest even four-digit number.
= 9714
c)
The smallest four-digit number.
= 1479
Thus,
The largest four-digit we can have is 9741.
The largest even four-digit number is 9714.
The smallest four-digit number is 1479.
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The complete question:
Numbers = 7, 4, 9, 1
Find the largest, largest even and smallest four digit number.
Determine if the following statement is true or false.
A theorem cannot have counterexamples.
Question content area bottom
Part 1
Choose the correct answer below.
A.
True, a theorem is based on deductive reasoning and cannot have counterexamples.
B.
False, although a theorem cannot be strengthened by additional information, but it can be proven false by a counterexample.
C.
True, a theorem is based on inductive reasoning and cannot have counterexamples.
D.
False, a theorem is a conjecture that can be strengthened by additional information or proven to be false by a counterexample.
Answers
The correct option is option B) False, although a theorem cannot be strengthened by additional information, but it can be proven false by a counterexample.
What is a theorem?
a statement which has been proved true by a special kind of logical argument called a rigorous proof.
When we have a theorem there will certain exceptions which will not follow the theorem We call them as counter examples. By stating such counter example we either prove theorem wrong or prove the restrictions of the theorem
Hence the correction option is option B) False, although a theorem cannot be strengthened by additional information, but it can be proven false by a counterexample.
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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answers
Answer:
\(BC=5.1\)
\(B=23^{\circ}\)
\(C=116^{\circ}\)
Step-by-step explanation:
The diagram shows triangle ABC, with two side measures and the included angle.
To find the measure of the third side, we can use the Law of Cosines.
\(\boxed{\begin{minipage}{6 cm}\underline{Law of Cosines} \\\\$c^2=a^2+b^2-2ab \cos C$\\\\where:\\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides.\\ \phantom{ww}$\bullet$ $C$ is the angle opposite side $c$. \\\end{minipage}}\)
In this case, A is the angle, and BC is the side opposite angle A, so:
\(BC^2=AB^2+AC^2-2(AB)(AC) \cos A\)
Substitute the given side lengths and angle in the formula, and solve for BC:
\(BC^2=7^2+3^2-2(7)(3) \cos 41^{\circ}\)
\(BC^2=49+9-2(7)(3) \cos 41^{\circ}\)
\(BC^2=49+9-42\cos 41^{\circ}\)
\(BC^2=58-42\cos 41^{\circ}\)
\(BC=\sqrt{58-42\cos 41^{\circ}}\)
\(BC=5.12856682...\)
\(BC=5.1\; \sf (nearest\;tenth)\)
Now we have the length of all three sides of the triangle and one of the interior angles, we can use the Law of Sines to find the measures of angles B and C.
\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c} $\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)
In this case, side BC is opposite angle A, side AC is opposite angle B, and side AB is opposite angle C. Therefore:
\(\dfrac{\sin A}{BC}=\dfrac{\sin B}{AC}=\dfrac{\sin C}{AB}\)
Substitute the values of the sides and angle A into the formula and solve for the remaining angles.
\(\dfrac{\sin 41^{\circ}}{5.12856682...}=\dfrac{\sin B}{3}=\dfrac{\sin C}{7}\)
Therefore:
\(\dfrac{\sin B}{3}=\dfrac{\sin 41^{\circ}}{5.12856682...}\)
\(\sin B=\dfrac{3\sin 41^{\circ}}{5.12856682...}\)
\(B=\sin^{-1}\left(\dfrac{3\sin 41^{\circ}}{5.12856682...}\right)\)
\(B=22.5672442...^{\circ}\)
\(B=23^{\circ}\)
From the diagram, we can see that angle C is obtuse (it measures more than 90° but less than 180°). Therefore, we need to use sin(180° - C):
\(\dfrac{\sin (180^{\circ}-C)}{7}=\dfrac{\sin 41^{\circ}}{5.12856682...}\)
\(\sin (180^{\circ}-C)=\dfrac{7\sin 41^{\circ}}{5.12856682...}\)
\(180^{\circ}-C=\sin^{-1}\left(\dfrac{7\sin 41^{\circ}}{5.12856682...}\right)\)
\(180^{\circ}-C=63.5672442...^{\circ}\)
\(C=180^{\circ}-63.5672442...^{\circ}\)
\(C=116.432755...^{\circ}\)
\(C=116^{\circ}\)
\(\hrulefill\)
Additional notes:
I have used the exact measure of side BC in my calculations for angles B and C. However, the results will be the same (when rounded to the nearest degree), if you use the rounded measure of BC in your angle calculations.
Mai and Priya play on the same basketball team. During basketball practice yesterday, Mai attempted 40 free throws and was successful on 25% of them. How many successful free throws did Mai make yesterday?
Next question
Yesterday, Priya successfully made 12 free throws. Today, she made 150% as many. How many successful free throws did Priya make today?
Answers
Answer:
Mai made 10 successful free throws yesterday.
(25%=1/4 40/4=10)
Today Priya made 18 successful free throws.
(150%=1 1/2 12/2=6 12+6=18)
Lmk if u didn't understand my explanation :')
A SPINNER IS DIVIDED INTO EQUAL BLACK, WHITE, RED. YELLOW, AND GREEN
SECTIONS. IF I SPIN THE SPINNER 95 TIMES ABOUT HOW MANY TIMES WOULD IT LAND ON YELLOW
Answers
Answer:
We would expect to get yellow 19 times.
Step-by-step explanation:
The probability of getting yellow is 1/5 (It is one out of five options)
To find how many times it is probable to get yellow, multiply this probability by the number of trys: (1/5)(95)=19
Anita is 4 1/2 years older than Basilio. Three times Anita's age added to six time Basilio'a age is 36. Find the age od each person
Answers
Answer: anita's age= 7 yrs
basilio age = 2.5 yrs
Step-by-step explanation:
Let age of anita and basilio be x
since anita is 4 1/2 years older than basilio
thereforce basilio age=x - 4.5
ATQ,
=>3x + 6(x-4.5) = 36
=>3x + 6x - 27=36
=>9x = 63
=>x=7
Someone please help me asap.
Answers
The equation of the relationship is f(200) = 0.75 * 200
Writing the equation of the relationshipFrom the question, we have the following parameters that can be used in our computation:
Total number of drinks = 200
Cost of each drink = 0.75
Using the above as a guide, we have the following:
f(x) = Cost of each drink * Total number of drinks
Where
f(x) = Total cost
Substitute the known values in the above equation, so, we have the following representation
f(200) = 0.75 * 200
Hence, the equation is f(200) = 0.75 * 200
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Ben bought a Rolex for $150,000 with a 100%
markup, how much will it cost?
Answers
Answer:
300,000$
Step-by-step explanation
♣ Formulate:Based on the given conditions,
formulate:
150,000 x (100% + 100%)
•••••••••••••••••••••••••••••••••
♠ Calculate150,000 x (1 + 1)
= 150,000 x 2
= 300,000
{ Alternative Forms: 3 x 10⁵ }
Answer:
Ben bought a Rolex for $150,000 with a 100% markup, It will cost 300,000$
•♣••♠••♣••♠••♣••♠••♣••♠••♣•
Answer:
$300,000
Step-by-step explanation:
It's probably the Rolex Daytona Cosmograph Rainbow.
Please help
Find the equation of the line then write it in the form y=mx+b
Y= ?
Answers
Answer:
y=1/5x
y=0
Step-by-step explanation:
Operations
Five football players ate
15/17
of a lasagna. The 5 players ate equal
amounts. How much of the lasagna did each player eat?
Answers
Answer:
3
Step-by-step explanation: because 15 divided by 5 equals 3
Question 1. Refer to the graph and write the inequality that satisfied the shaded region
Answers
Answer:
mexico
Step-by-step explanation:
A certain insecticide kills 70% of all insects in laboratory experiments. A sample of 11 insects is exposed to the insecticide in a particular experiment. What is the probability that exactly 2 insects will survive? Round your answer to four decimal places.
Answers
Based on the given data, the probability that exactly 2 insects will survive is 0.1402 rounded to four decimal places.
Calculating the Probability of Survival in an Insect Population Exposed to InsecticideThe probability mass function for the binomial distribution is given by:
P(X=k) = (n choose k) * p^k * (1-p)^(n-k)
where X is the random variable representing the number of successes (surviving insects), k is the specific number of successes we're interested in (k=2 in this case), n is the total number of trials (n=11), p is the probability of success (p=0.3), and (n choose k) is the binomial coefficient, which is the number of ways to choose k objects from a set of n objects.
Plugging in the values, we get:
P(X=2) = (11 choose 2) * 0.3² * 0.7²
= (55) * 0.09 * 0.02825
= 0.1402
Therefore, the probability that exactly 2 insects will survive is 0.1402 (rounded to four decimal places).
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Janice has $1000 in her bank account. She pays $175 a month for her cable and internet bill. She wants to have at least $450 in her account for winter break. How may months can continue to pay her cable and internet bill
X= # of months
Answers
Answer:
3 months
Step-by-step explanation:
1000 - 450 = 550
She has 550 available to pay for her cable.
550/175 = 3.1428571429 That rounds to 3 months
1000- (3x 175)
1000 - 525 = 475 That leaves 475 in her account.
Helen’s father’s car can travel an average of 18.5 miles on 1 gallon of gasoline. Gas at the local station costs $3.79 per gallon.
a) Helen’s mom took the car to the gas station and hand the cashier a $10 bill. How much gas could she buy? Round your answer to the nearest hundredth of a gallon.
Answers
9514 1404 393
Answer:
2.64 gallons
Step-by-step explanation:
Each gallon costs $3.79, so the number of gallons that can be bought with $10 is ...
$10/($3.79/gal) = (10/3.79) gal ≈ 2.6385 gal ≈ 2.64 gallons
UNIT ISCALING
SCALE DRAWING OF A SCHOOL BUS HAS A SCALE OF 1/2 INCH TO 5 FEET. IF THE
ENGTHS OF THE SCHOOL BUS IS 4 1/2 INCHES ON THE SCALE DRAWING, WHAT IS THE
ACTUAL LENGTH OF THE BUS? EXPLAIN OR SHOW YOUR REASONING
Answers
The actual length of the bus is given as follows:
45 feet.
How to obtain the actual length of the bus?The actual length of the bus is obtained applying the proportions in the context of the problem.
The scale drawing is of 0.5 inches to 5 feet, hence the length represented by each inch of drawing is given as follows:
5/0.5 = 10 feet.
The length of the drawing is given as follows:
4.5 inches.
Hence the actual length of the bus is given as follows:
4.5 x 10 = 45 feet.
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Please try, I’ll give Brainliest, and 70 points to the one who answers this
It’s due tomorrow so answers ASAP
Answers
A group of friends wants to go to the amusement park. They have no more than $310 to spend on parking and admission. Parking is $9, and tickets cost $35 per person, including tax. Write and solve an inequality which can be used to determine xx, the number of people who can go to the amusement park.
Answers
Answer:
9 + 35x = 310
Step-by-step explanation:
1. identify the corresponding sides on the figure below
Answers
Answer:
No because one side is 8 and the other is 18
Step-by-step explanation:
Which number is a multiple of 2?
A) 14
B) 21
C) 7
D) 19
Answers
Answer:
The answer is A
Step-by-step explanation:
Since the number that you are finding the multiple of is 2, it has to be an even number. Another way is if 2 by another whole number equals the answer choice then you got your answer.
GEOMETRY PROOF REASONING 15 POINTS
Answers
Answer:
SAS
Step-by-step explanation:
Side: AB ≅ BC
Angle: ∠ABD ≅ ∠CBD
Side: ΔABD and ΔCBD share BD, which is a side length
Solve for n:
-5(n + 6) = 3(7 + 3n) + 3n
Answers
Answer:
n = -3
Step-by-step explanation:
-5n-30=21+9n+3n
-5n-30=21+12n
-17n=51
n=-3
Brainliest if correct 5 points
Answers
As we can see even if the left triangle was flipped, the angles and sides will still be the same, making it congruent. Hope that helped
Answer the questions below.
2.
(a) The area of a rectangular parking lot is 6370 m
If the width of the parking lot is 65 m, what is its length?
Answers
The senior class sells movie tickets to students and teachers. The student tickets cost $4 each and teacher tickets cost $8 each. If they earned only $44 and one (1) teacher ticket was sold, how much money was made from the teacher ticket? * A. $8 B. $10 C. $12 D. $16
Answers
Answer:
A:8
Step-by-step explanation:
Because it says how much money was earned from a teacher. And only 1 teacher bought an $8 ticket.
The value of your stock investment in a certain company decreased 10 % over the last year. If the value of your stock investment is $7000
today, then what was the value of your stock investment a year ago
Answers
The value of the stock a year ago is $7778
How to determine the value of the stock a year ago?The given parameters are:
Depreciation rate, r = 10%
Value of investment today, V(t) = $7000
The value of the stock a year ago is then calculated as:
Value of investment today = Value of investment last year * (1 - Depreciation rate)
Substitute the known values in the above equation
7000 = Last year * (1 - 10%)
Evaluate the difference of 1 and 10%
7000 = Last year * (90%)
Divide both sides by 90%
Last year = 7778
Hence, the value of the stock a year ago is $7778
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Answers for the practice test on the 1980s-early twenty-first century.
Answers
Answer:
the answer would be look at the test from one year earlier than that year (1979)
Step-by-step explanation:
that's correct answer.
Answers are
(-1,3)
(0,2)
(1,2)
(2,-1)
(2,2)
