The measures of the angles of a triangle are shown in the figure below. Solve for x.
(5x-17)®
(7x-3)
56°
Answers
The measurement of three angles in the triangle are 43°, 81°, 56°.
What are the angles of a triangle?A triangle's interior angles always add up to 180°, whereas its exterior angles are equal to the sum of the two interior angles that are not adjacent to it.
Given three angles,
∠A = (5x - 17)°
∠B = (7x - 3)°
∠C = 56°
We know that in a triangle ∠A + ∠B + ∠C = 180°
By substituting values,
(5x - 17) + (7x - 3) + 56 = 180
12x -20 + 56 = 180
12 x + 36 = 180
12x = 180 - 36
12x = 144
x = 144/12
x = 12
By substituting values of x we get,
∠A = (5x - 17)°
= 5 x 12 - 17
= 60 - 17
= 43
∠A = 43°
∠B = (7x - 3)°
= 7 x 12 - 3
= 84 - 3
= 81
∠B = 81°
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Related Questions
the average number of wins for a team is 7.6 for the season with a standard deviation of 1.3. What is the probability that the team will win more the 9 games this season?
Answers
The probability that the team will win more than 9 games this season, given the average number of wins for the team, is 4 %
How to find the probability ?The Z-score formula is:
Z = (x - mean) / standard deviation
Where x is the number of wins we're interested in (9), mean is the average number of wins (7.6), and standard deviation is the standard deviation of the number of wins (1.3)
Z = (9 - 7.6) / 1.3
= 2.3 / 1.3
= 1.77
This means that 9 wins is 1.77 standard deviations above the mean. The result is the probability of a team winning more than 9 games this season, which is around 0.04 or 4% from the standard normal distribution table.
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Publishers of a magazine wish to determine what proportion of the magazine's 50,000 subscribers are pleased with their subscription. The publishers intend to mail a survey to 1,000 subscribers randomly selected from those who have received the magazine for 5 years or more. This introduces selection bias, since long-subscribing customers are more likely to be pleased with their subscription. Which of the following would best eliminate selection bias?
a. Mail surveys to 2,000 subscribers randomly selected from those who have received the magazine for 5 years or more.
b. Mail surveys to 1,000 subscribers randomly selected from those who have received the magazine for 1 year or less.
c. Mail surveys to 1,000 subscribers randomly selected from all subscribers.
d. Mail surveys to 1,000 subscribers randomly selected from those who have received the magazine for 5 years or more and 1,000 subscribers randomly selected from those who have received the magazine for 1 year or less.
e. Mail surveys to 500 subscribers randomly selected from a group who have received a free six-month subscription within the past year.
Answers
Answer:
d. Mail surveys to 1,000 subscribers randomly selected from those who have received the magazine for 5 years or more and 1,000 subscribers randomly selected from those who have received the magazine for 1 year or less.
Step-by-step explanation:
In the case of the publishers of the magazine, in order to avoid bias, they would adopt he approach mentioned in the above statement. That is, to consider both those that have recieved the magazine for the past five years or more as well as those who have recieve the magazine for the past one year or less.
This would help them to have a balanced outcome in the survey because all, would attend the the survey with a free mindset rather than baised mindset.
help meeeeeeeee PLEASEEEEE
Answers
Answer:
Step-by-step explanation:
5 blocks in 12 minutes
1 hour = 60 minutes
60 div. by 12 = 5
5 meaning theres 5, 12 mins in an hour
so, 5 x 5 = 25
25 meaning blocks per hours
25 + 25 = 50
50 blocks in 2 hours :)
can yall help and stop ignoring me plz i need help i have 10 min left!
Answers
Answer:
The mean score would decrease more than the median score
Step-by-step explanation:
3a²b and 3ab² are like terms true or false
Answers
Step-by-step explanation:
false.
3a²b≠3ab².
If a is 3 and b is3 it is not equal
4. Find the sum of the first 21 terms in a series where a = 20 and t21= 400.
5. Find the sum of the first 100 terms in a series where a = 0 and t100= 99.
6. Find the sum of the first 50 terms in a series where a = 4 and t50= 196.
7. Find the sum of the first 100 terms in a series where a = 0 and t100= 99.
8. Find the sum of the first 10 terms in an arithmetic series where t7= 7 and t10= 13.
9. Find the sum of the first 10 terms in an arithmetic series where t5= 15 and t10= 45.
10. Find the sum of the first 30 positive multiples of 5.
Answers
The first 100 terms of a series add up to 4950, and the first 21 terms of a series where a = 20 and t21 = 400 add up to 4410
what is arithmetic progression ?An arithmetic progression is when the difference between each phrase that follows another in a sequence is always the same. For instance, the sequence 5, 7, 9, 11, 13, and 15 is an example of an arithmetic progression with a 2 tolerance. A progression having a set tolerance between any two consecutive numbers is known as a "arithmetic progression" (A.P.). Two alternative types of mathematical progression exist: finite-length mathematical series A series that has a limited number of terms is a finite geometric progression. One may calculate the early, late, tolerance, and number of terms in a series using the terms in the series.
given
1) n6 = 6 where a = 5 and d = 5 = 105
2)n6 =6 where a = 9 and d = 12 = 234
3) n5= 5 where a = 5.7 and d = 1.4 = 42.5
4) a = 20 and t₂₁ = 400 ,
= 380
Therefore, Sum of 21 terms = 4410
5) In series a = 0 and t₁₀₀ = 99 = 4950
The first 100 terms of a series add up to 4950, and the first 21 terms of a series where a = 20 and t21 = 400 add up to 4410
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Which shows the number 94.076 written out in words?
Respond quick
Answers
Answer:
D) ninety-four and seventy-six thousandths
Step-by-step explanation:
Model -2/4 + 3/4 on the number line
Answers
The model lies between 0 and 1 on the number line.We can find by dividing number and then add both of number.
How do we represent number on a number line?The real number line is a horizontal line with arrows on both sides. It consists of the origin “0”. All the positive numbers are represented on the right side of the origin and all the negative numbers are represented on the left side of the origin, with a definite scale.
What is a Number Line Model?A number line model is a representation of numbers plotted on an infinite line that extends at both ends.It is a visual representation of numbers on a straight line. This line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides horizontally or vertically.
Now we find
-2/4 =-0.5
3/4= 0.75
0.75- 0.5=0.25
which is lies between 0 and 1 on the number line.
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why is the slope between any two points on a straight line always the same?
Answers
Answer:
because it never changes.
a baker has 85 cups (c) of flour to make bread.she uses 6 1/4 c of flour for each loaf of bread
Answers
The baker can make 13 loafs of bread using 85 cups of flour using 6 1/4 c of flour for each loaf of bread.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, A baker has 85 cups (c) of flour to make bread she uses 6 1/4 c of flour for each loaf of bread.
Now, The fraction 6 1/4 can be written as 25/4.
Therefore, The number of bread loaf the baker can make is,
= (85/25/4).
= 85×(4/25).
= (17×4)/5.
= 68/5.
= 65/5 + 3/5.
= 13 + 3/5.
So, he can make 13 bread loafs.
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Find the value of the trigonometric ratio.
Answers
(D)
Step-by-step explanation:
sin x = opp/hyp
= 40/41
Anna and Jayla are reading the same
book. Anna is on page 150 and reads
7 pages a day. Jayla is on page 110 and
reads 15 pages a day. After how many
days will Anna and Jayla have read the
same number of pages? Explain.
Answers
explanation:
Anna-
Day 1: 150+7= 157
Day 2: 157+7=164
Day 3: 164+7=171
Day 4: 171+7=178
Day 5: 178+7=185
Jayla-
Day 1: 110+15= 125
Day 2: 125+15= 140
Day 3: 140+15= 155
Day 4: 155+15= 170
Day 5: 170+15=185
You purchased an antique guitar for 8600. It is expected to appreciate at 2.4% annually. How long will it take the guitar to double in value
Answers
100/2.4≈ 42 years or 41.66666667.. years.
What is the distance between (2, -4) and (9,-4)?
8 units
11 units
0 units
07 units
Answers
Answer: 7 units
Step-by-step explanation:
How many tens do u need to make 280
Answers
Answer: 28
Step-by-step explanation:
280/10=28
(/=divide)
If you have 10 baskets and have 280 apples to evenly distribute them in every basket, you would have 28 in each basket. If that makes sense.
Hope this helps!
Tessa bought stock in a restaurant for $208.00. Her stock is now worth $284.96. What is the percentage increase of the value of Tessa's stock?
Answers
Answer:
37.04%
Step-by-step explanation:
To find the percentage increase in the value of Tessa's stock, we need to calculate the difference between the original price and the current price, and then divide that difference by the original price, and multiply by 100 to express the result as a percentage.
Here is the calculation:
percentage increase = ((284.96 - 208.00) / 208.00) * 100
= (76.96 / 208.00) * 100
= 37.04 * 100
= 37.04%
So Tessa's stock has increased in value by 37.04%.
Answer:
37 % increase
Step-by-step explanation:
To find the percentage increase, take the new amount and subtract the original amount
284.96 -208 =76.96
Divide this by the original amount
76.96/208=.37
Change the decimal form to a percent
.37 * 100% = 37 %
find number x if when you add 7 to it and double the result you get 19 more than x
Answers
Answer:
x = 6
Step-by-step explanation:
2x + 7 = 19
-7 -7
2x = 12
*divide both sides by 2*
x = 6
feams.microsoft.com/_/pdf/viewer/teams/https:-21-2Fmiamidadoschools sharepoint.com - 2Fsites - 2F Section 720131254908-21 Shared20Documents-2General 21 g
2. Which of the following tables represent functions?
A. (5,0)
B. (-2,2.4)
C. (8,5)
D. (10,12)
E. (0,4)
Input
1
Output
4
2
3
3
z
Input Output
1
2 2
3
3
3
4
4
1
1
11
7. Joe was given $20 for his
$10 per week from his =
to represent this situati
Input Output
-1 2
0 2
1 3
5 3
Input Output
-4 3
0
2
2. 12
4
7
O A. S(w) = 10w - 20
O B. S(w) = 10w + 20
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Answers
Answer:
D
Step-by-step explanation:
How to Solve the problem 7/8 x 4 =
Answers
Answer:
The Answer is gonna be 7/8 x 4 =3.5
This is the right Answer :3
I hope you are having a great day ❤️❤️❤️
First you do 7 divided by 8, then you multiply by 4
7/8 = 0.875
0.875 x 4 = 3.5
Brainliest would be appreciated. I hope I helped you
What is the vertext of the following parabola: x^2 - y + 6x + 8 = 0
Answers
Answer: y=(x+3)2−17
Step-by-step explanation:
the slope to (9, -10), (0, 8) with the work shown please.
Answers
Answer:
-2
Step-by-step explanation:
To find the slope, subtract y1 - y2, then divide by x1-x2
The y numbers in this set is -10 & 8
The x numbers in this set is 9 & 0
-10-8= -18
9-0 = 9
-18/9 = -2
The slope would be -2
Find value of x in a hexagon with 2x,3x and x
Answers
Answer:
x = 120°
Step-by-step explanation:
Given the following data;
Angles = 2x, 3x and x
We know that a hexagon has 6 sides and the sum of it's interior angles is equal to 720°
2x + 3x + x = 720
6x = 720
x = 720/6
x = 120°
Check:
2x = 2*120 = 240°
3x = 3*120 = 360°
x = 120°
240 + 360 + 120 = 720°
Pls help I need a good grade I’ll brainlest
Answers
Answer:
Step-by-step explanation:
A.
C.
At the rate of $2.00 per square foot, the cost of painting the rectangular board with a semicircular top shown in the figure is $? Assuming pi = 3.14
I 've been stuck on this for so long can someone please help me out?!
Answers
1.5 x 1.5 x 3.14= 7.065 however since it is a half of circle we divide 7.065 by 2 = 3.5325
Now add 3.5325 and 12 = 15.5325 round it to 15.53 then multiply by $2
The answer is $31.06
WILL MARK BRAINLIEST!!!
Which of the following are true statements about any regular polygon? Check all that apply.
Answers
Answer:
They are convex, all sides are congruent, their angles are congruent, and the sum of their exterior angles is 360º.
Step-by-step explanation:
Which of the following terms correctly describe the object below?
Check all that apply.
D A. Prism
B. Solid
C. Cube
D. Pyramid
E. Polyhedron
F. Polygon
Answers
Answer:
A..is the answer of the question
Answer:
Polyhedron, Prism and Solid
Britney bought 4 apples, 5 bananas, and 8 oranges at the grocery store.
Which is the ratio of apples to oranges written as a decimal?
A.
1.6
B.
0.4
C.
0.8
D.
0.5
Answers
Answer:
Step-by-step explanation:
The question asks for apples to oranges.
So put the number of apples as a numerator and the number of oranges as a denominator. Simply put 4 on top and 8 on the bottom:
4/8 then divide: 4 divided by 8 = .5
There is the ratio as a decimal.
0.5
Option D
what is 4/5 divided by 2/3
Answers
Step by step exploration
4/5 : 2/3 = 4/5 • 3/2= 12/10=6/5
switch the 2nd fraction around;
4/5 x 3/2
4 x 3 = 12
5 x 2 = 10
Answer: 12/10 or 6/5 (simplified) or 1.2 as a decimal
HAVE A NICE DAY
WILL GIVE BRAINLST :)
Answers
Mona loves the ocean, so she was thrilled to visit the beach and collect some seashells. The function g(x) gives the number of seashells Mona found after x minutes of searching.
What does g(30)≥20 tell you?
Answers
The inequality g(30) ≥ 20 us that: D. Mona found no more than 20 seashells in the first 30 minutes.
What is an inequality?In Mathematics, an inequality simply refers to a mathematical relation that can be used to compare two (2) or more numerical values, numbers, and variables in an algebraic equation, especially based on any of the following inequality symbols:
Greater than or equal to (≥).Greater than (>).Less than (<).Less than or equal to (≤).How to determine the required function?Assuming the variable g represents the total number of seashells and the variable x represents the total number of time (minutes), an inequality which would model the situation is given by;
g(x) ≥ x
when x = 30, we have;
g(30) ≥ 20
Therefore, Mona found no more than (less than or equal to) 20 seashells in the first 30 minutes.
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Complete Question:
Mona loves the ocean, so she was thrilled to visit the beach and collect some seashells. The function g(x) gives the number of seashells Mona found after x minutes of searching.
What does g(30) ≥ 20 tell you?
It took at least 20 minutes for Mona to find 30 seashells.
Mona found at least 20 seashells in the first 30 minutes.
It took at least 30 minutes for Mona to find 20 seashells.
Mona found no more than 20 seashells in the first 30 minutes.