WILL REWARD THE BRAINLIEST
9-18
Use what you have learned about triangles and angles to write an equation that represents each situation. Then find each of the missing angles in the triangles below.
9-19.
Additional Challenge: Use what you know about triangles and angle relationships to find the missing angles in the triangles below.
Answers
Answers and Step-by-step explanations:
9-18.
a) All the angles of a triangle add up to 180, by definition. So, we can write the expression: 30 + 115 + x = 180.
Then, we can just solve for x by subtracting 30 and 115 from both sides:
x = 180 - 115 - 30 = 35 degrees
b) Again all three angles should add up to 180, so:
x + x + x = 180 ⇒ 3x = 180 ⇒ x = 180/3 = 60 degrees
9-19.
a) These angles add up to 180:
2x + x + 30 = 180 ⇒ 3x + 30 = 180 ⇒ 3x = 150 ⇒ x = 50
2x = 50 * 2 = 100
The missing angles are 100 degrees and 50 degrees.
b) Again, these add up to 180:
x + 10 + x + 90 = 180 ⇒ 2x + 100 = 180 ⇒ 2x = 80 ⇒ x = 40
x + 10 = 40 + 10 = 50
The missing angles are 50 degrees and 40 degrees.
Hope this helps!
Answer:
9-18
a)
x = 180 - (115 + 30) = 180 - 145 = 35°
b)
3x = 180 => x = 180 : 3 => x = 60°
9-19
a)
180 = x + 2x + 30
180 - 30 = 3x
3x = 150
x = 50°
b)
180 = x + 10 + x + 90
180 - 10 - 90 = 2x
2x = 80
x = 40°
Related Questions
Tell which set or sets the number below belongs to natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers.
614
Select all sets in which the number 614 is an element.
A. whole numbers
B. rational numbers
C. integers
D. irrational numbers
E natural numbers
F. real numbers
Answers
The number 614 belongs to the sets of natural numbers, whole numbers, integers, rational numbers, and real numbers. It does not belong to the set of irrational numbers.
Explanation:The number 614 belongs to multiple sets of numbers, including natural numbers, whole numbers, integers, rational numbers, and real numbers. It does not belong to the set of irrational numbers.
Natural Numbers: This set includes the positive integers starting from 1, so 614 is a natural number.Whole Numbers: This set includes all natural numbers plus zero. Since 614 is a positive integer and natural number, it is also a whole number.Integers: This set includes all whole numbers and their negatives. As 614 is a whole number, it is also an integer.Rational Numbers: This set consists of numbers that can be expressed as a fraction with integers in both the numerator and denominator, where the denominator is not zero. Since 614 can be expressed as 614/1, it is a rational number.Irrational Numbers: These numbers cannot be expressed as a simple fraction; 614 is not an irrational number since it can be expressed as a fraction.Real Numbers: This set includes all rational and irrational numbers. Because 614 is a rational number, it is also a real number.
The number 614 belongs to the sets: Whole Numbers, Rational Numbers, Integers, Natural Numbers, and Real Numbers.
A. Whole Numbers: Whole numbers include all natural numbers and zero. Since 614 is a positive integer, it is a whole number. So, A is correct.
B. Rational Numbers: Rational numbers include integers and fractions. Since 614 is an integer, it is also a rational number. So, B is correct.
C. Integers: Integers include all positive and negative whole numbers along with zero. Since 614 is a positive integer, it is an integer. So, C is correct.
D. Irrational Numbers: Irrational numbers are numbers that cannot be expressed as a fraction of two integers. Since 614 can be expressed as the fraction 614/1, it is not irrational. So, D is incorrect.
E. Natural Numbers: Natural numbers include all positive integers starting from 1. Since 614 is a positive integer, it is a natural number. So, E is correct.
F. Real Numbers: Real numbers include all rational and irrational numbers. Since 614 is a rational number, it is also a real number. So, F is correct.
In summary, the correct sets for the number 614 are A, B, C, E, and F.
Make the x the subject of the formula y= 7x + 4
Answers
Answer:
[tex]y = 7x + 4 \\ y - 4 = 7x \\ \frac{y - 4}{7} = \frac{7x}{7} \\ x = \frac{y - 4}{7} [/tex]
hope this helps you....
Answer:
x = y-4
7
Step-by-step explanation:
y = 7x + 4
y- 4 = 7x
[tex]\frac{y-4}{7}[/tex] =x
Please help me idk this ?!?!?
Answers
Using the formula given in the question, we can solve for the area.
h = 10
b1 = 20
b2 = 8
Now, solve with the given values.
1/2(10)(20 + 8)
5(28)
140
Therefore, the area is 140 square feet.
Best of Luck!
Find the unit rate.
20 miles in 2 minutes = ___
miles per minute
Answers
Answer:
10 mpm
Step-by-step explanation:
20 / 2 = 10
Answer:
10 miles per 1 minute
Step-by-step explanation:
Write down the value of x = 65 give your reason for your answer
Answers
Coordinates (-3, 5), ( -3, 8), and (2, 5). The triangles was dilated by a scale favtor of 3. What is the area of the dilated triangle, in square units?
Answers
Answer:
The area of the triangle is 7.5 unit²
Step-by-step explanation:
Here we have the coordinates given as
(-3, 5) (-3, 8) and (2, 5)
Let us call the points A = (-3, 5)
B = (-3, 8) and
C = (2, 5)
Therefore the lengths of the sides of the triangle are
AB = a = [tex]\sqrt{(-3-(-3))^2+(5-8)^2} = 3[/tex]
AC = b = [tex]\sqrt{(-3-2)^2+(5-5)^2} = 5[/tex]
BC = c = [tex]\sqrt{(-3-2)^2+(8-5)^2} = \sqrt{34}[/tex]
Therefore the Area can be derived from Heron's formula which is
A = [tex]\sqrt{s\times (s-a)\times (s-b)\times (s-c)}[/tex] where s = semi perimeter or (a + b + c)/2
Therefore, plugging the values, we get
s = (3 + 5 + √34)/2 = 6.9155≈6.92
A = [tex]\sqrt{6.92\times (6.92-3)\times (6.92-5)\times (6.92-\sqrt{34} )}[/tex] = 7.499≈7.5.
Answer:
67.5 square units
Step-by-step explanation:
The points (-3, 5) and ( -3, 8) form a vertical segment, and the points (-3, 5) and ( 2, 5) form a horizontal segment, so the triangle has a right angle.
The base of the triangle is the segment formed by the points (-3, 5) and ( 2, 5), and their distance is:
D1 = sqrt((-3-2)^2 + (5-5)^2) = 5
The height of the triangle is the segment formed by the points (-3, 5) and ( -3, 8), and their distance is:
D2 = sqrt((-3+3)^2 + (5-8)^2) = 3
If the triangle is dilated by a scale of 3, so the base is D1*3 = 15 and the height is D2*3 = 9, then the area is:
The area of a triangle is Base * Height / 2, so we have that:
Area = 15 * 9 / 2 = 67.5 square units
What is the equation of the line that passes through the point
(−3,5) and has a slope of -2?
Answers
Answer:
y = -2x-1
Step-by-step explanation:
y = -2x+b
5 = -2(-3)+b
5 = 6+b
-1 = b
The value for √10 is approximately between 3 and 4. Approximate further to find the values to the tenths place that √10 is between.
a less-than StartRoot 10 EndRoot less-than b
a =
b =
Answers
Answer:
a = 3.1
b = 3.2
Step-by-step explanation:
I did the quiz
Answer:
a =
✔ 3.1
b =
✔ 3.2
Step-by-step explanation:
Select the correct answer.
In which direction must the graph of f(x) = 7* be shifted to produce the graph of g(x) = 7* + 7?
O A.
up
OB. right
0
C. down
0
D.
left
Reset
Next
Answers
Answer:
Maybe A hopefully its the correct answer
Calculate the simple interest on
N650.00 for 2 years at 6% per
annum.
Answers
Answer:
N78
Step-by-step explanation:
The explanation is in the picture
please rate and mark as brainliest
Dave determines the meal he ordered at the restaurant contains 22% of his daily sodium intake. If the meal contains 260 mg of sodium, how many mg of sodium are in Dave's daily diet? Round your answer to the nearest whole mg
Answers
Answer:
1182 mg to the nearest mg.
Step-by-step explanation:
22% is equivalent to 260 mg sodium, so
100% is equivalent to 260 * (100/22)
= 1181.82 mg.
what is percentage?
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
Examples of percentages are:
10% is equal to 1/10 fraction
20% is equivalent to ⅕ fraction
25% is equivalent to ¼ fraction
50% is equivalent to ½ fraction
75% is equivalent to ¾ fraction
90% is equivalent to 9/10 fraction
Given,
Dave determines the meal he ordered at the restaurant contains 22% of his daily sodium intake
Meal contains 260 mg of sodium
22% is equivalent to 260 mg sodium, so
100% is equivalent to 260 x ([tex]\frac{100}{22}[/tex])
= 1181.82 mg.
22% is equivalent to 260 mg sodium, so
100% is equivalent to 260 * (100/22)
= 1181.82 mg.
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An angle measures 49.4° less than the measure of its complementary angle. What is the measure of each angle?
Answers
Answer:
40.6
Step-by-step explanation:
Pretty sure a complementary angle is 90 so 90-49.4=40.6
Find four solutions of the equation. Write the solutions as ordered pairs.
y = x+5
Answers
Answer:
when x=1, y=6. etc.
Step-by-step explanation:
x y
1 6
2 7
3 8
4 9
Two number cubes each have sides that are labeled 1 to 6. Iris rolls the 2 number cubes. What is the probability that the sum of the numbers on the number cubes will equal 4?
1/36
1/18
1/6
1/12
Answers
Given:
Two cubes are rolled together.
To find the probability that the sum of the numbers on the number cubes will equal 4.
Formula
P(A) = [tex]\frac{x}{y}[/tex]
where, A be any event.
x be the number of successful outcomes
y be the total number of outcomes
Now,
If the two cubes are rolled together, total number of outcomes = 36
In total outcomes, the sum of the numbers of cube will be 4 for (1,3),(3,1) and (2,2)
So, the number of successful outcomes = 3
Now,
Putting x=3 and y = 36 we get,
[tex]P(A) = \frac{3}{36}[/tex]
or, [tex]P(A) = \frac{1}{12}[/tex]
Hence,
The probability that the sum of the numbers on the number cubes will equal 4 is [tex]\frac{1}{12}[/tex]. Option D.
the wheels of a bicycle are 0.6 m in diameter. If I go around the bike block, each wheel will perform 346 full turns. What distance, to the tenth of a meter ready, that represents it
Answers
Answer:
The distance that represents it is 651.9 m.
Step-by-step explanation:
In order to calculate the distance that the wheel travelled we need to find the length of the circumference of the wheel. This is given by the following formula:
length = 2*pi*r = pi*d
Since the diameter of the wheel is 0.6 m we can find the length of the wheel that is:
length = 3.14*0.6 = 1.884 m
The wheel made 346 full turns, that means that the total distance is the number of turns multiplied by the length of the wheel.
distance = 346*1.884 = 651.9 m
The distance that represents it is 651.9 m.
A zoo has some new exhibits.
In a survey, 2400 zoo attendants are asked to choose their favorite.
The results are shown in the following table.
(a) find the percentage for each type of animal.
Answers
Answer:
Elephant 14%
Panda 18%
Tiger 29%
Bonobo 39%
Step-by-step explanation:
Divide each number by 2400 then multiply the answer by 100.
The percentage of elephants, pandas, tigers, and bonobos are 14%, 18%, 29%, and 39% respectively.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
The zoo has some new exhibits.
In a survey, 2400 zoo attendants are asked to choose their favorite.
From the table:
The total number of animals = 336 + 432 + 696 + 936 = 2400
Percentage of Elephant = (336/2400)x100 = 14%
Percentage of Panda = (432/2400)x100 = 18%
Percentage of Tiger = (696/2400)x100 = 29%
Percentage of Bonobo = (936/2400)x100 = 39%
Thus, the percentage of elephants, pandas, tigers, and bonobos are 14%, 18%, 29%, and 39% respectively.
Learn more about the percentage here:
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s the interquartile range of this data?
6
8
9
20
Box-and whisker plot titled Number of Coins in Collection with five-number summary from left to right 7, 16, 30, 36, 38.
Answers
We have been given the 5-number summary of a box plot that represents Coins in Collection. The five-number summary from left to right is 7, 16, 30, 36, 38.
We are asked to find the inter-quartile range of the given data.
We know that interquartile range is difference of upper quartile and lower quartile.
We know that the 5-point summary represents the lower data point, lower quartile, median, upper quartile and upper data point respectively.
We can see from our given 5 point-summary that lower quartile is 16 and upper quartile is 36.
[tex]\text{Interquartile range}=\text{Upper quartile}-\text{Lower quartile}[/tex]
[tex]\text{Interquartile range}=36-16[/tex]
[tex]\text{Interquartile range}=20[/tex]
Therefore, the interquartile range of the given data is 20 and last option is the correct choice.
Answer:
here is my answers, it is just my test....
A soup can, shaped like a cylinder, has a diameter of 3.5 inches and a height of 5 inches. Each serving of soup is 15 cubic inches. If a can of soup this size costs $1.99, what is the cost of each serving of soup? Round to the nearest cent.
Answers
Answer:
The answer to your question is Cost of a serving = $0.62
Step-by-step explanation:
Data
diameter = 3.5 in
height = 5 in
each serving = 15 in³
Cost of the can = $1.99
Process
1.- Calculate the volume of the can
Volume = πr²h
-Substitution
Volume = (3.14)(3.5/2)²(5)
-Simplification
Volume = (3.14)(3.062)(5)
-Result
Volume = 48.08 in³
2.- Use proportions and cross multiplication to find the cost of a serving.
48.08 in³ ---------------- $1.99
15 in³ ---------------- x
x = (15 x 1.99)/48.08
x = 29.85/48.08
x = $0.62
Using this number cube and spinner, which simulation would help you answer this question? Over the past 50 years, records for one northwest city show that snow fell on the first day of winter 16 of the time. If you choose a year at random, what are the chances that the first day of winter will be a snowy Monday?
Answers
Answer:
0.045714286
Step-by-step explanation:
The chance of it being snowy is 16/50, or 0.32. And the chance of that day being Monday out of 7 days over the week is 1/7, or 0.143. Then the chances that the first day of winter will be a snowy Monday is 0.32*0.143 = 0.045714286
Answer:
A- roll and spin 50 times. Roll on a 3 AND land on red
Step-by-step explanation:
What is the range of the function represented by this graph?
Answers
Answer:
wheres the graph and it would be match easier if I can see it
Step-by-step explanation:
....
Answer:
where is the graph
Step-by-step explanation:
please give a image next time
What’s the distributive property of -5(1 - 2n)=-85
Answers
Answer:
-5 + 10n = -85
10n = -80
n = -8
Answer:
= -8
Step-by-step explanation:
-5(1 - 2n)=-85
(-5(1)) + (-5(-2n)) = -85
-5 + 10n = -85
10n = -85 + 5
10n = -80
n = -80/10
n = -8
A student said that the surface area of the figure below was 57.4 square centimeters. Is the student correct? Explain.
Answers
Answer:
no
Step-by-step explanation:
The surface area is the sum of the areas of the faces.
There are 4 faces that are 5 cm wide. Their respective heights (from front, over the top) are ...
1 cm, 2.5 cm, 2 cm, 2.3 cm
for a total height of 7.8 cm. Thus, those 4 faces have a total area of ...
(5 cm)(7.8 cm) = 39.0 cm^2
__
The two trapezoidal faces each have bases of length 1 and 2 cm, and a "height" of 2.3 cm. Together, their areas are ...
A = 2×(1/2)(b1 +b2)h = (b1 +b2)h
A = (1 cm +2 cm)(2.3 cm) = 6.9 cm^2
__
The surface area of the entire trapezoidal prism is then ...
total area = base area + lateral area = 6.9 cm^2 +39 cm^2
total area = 45.9 cm^2
The student's answer of 57.4 cm^2 is not correct. (We don't know where that calculation came from.)
ninety people in a store were asked whether they liked jeans or khakis and whether they liked t shirts or tank tops out of 25 people that liked khakis 15 liked t shirts there were 55 customers that liked t shirts construct a two way table summarizing the data
Answers
Answer:
See the attached figure.
Step-by-step explanation:
Total people = 90
The people that liked khakis = 25
The people that liked t shirts = 55
out of 25 people that liked khakis 15 liked t shirts
See the attached figure, the table on the left represents the given data
While the table on the right represent the table after finding the unknowns.
So,
The people that liked tank tops = V = 90 - 55 = 35
People that liked tank tops out of 25 people that liked khakis=Z=25-15=10
The people that liked jeans = W = 90 - 25 = 65
And X = 55 - 15 = 40
And Y = W - X = 65 - 40 = 25
So, the table on the right is the two way table summarizing the data.
The model represents the factorization of 2x2+5x+3.
What are the factors of the polynomial?
'O
tx
+X
(2x+3)(x+1)
(2x-3)(x-1)
(3x+2)(x+1)
(3x-2)(x-1)
AX
Answers
Answer:
(2x+3)(x+1)
Step-by-step explanation:
Porque si lo factorizas da ese resultado.
The factors of the polynomial are (2x + 3) and (x+1)
Factorizing quadratic expressionsGiven the quadratic equation expressed as:
2x^2+5x+3
We are to find the factors of the given quadratic function as shown:
2x^2+5x+3
2x^2+2x +3x +3
2x(x+1)+ 3(x+ 1)
(2x + 3)(x + 1)
Hence the factors of the polynomial are (2x + 3) and (x+1)
Learn more on factors of the polynomial here:https://brainly.com/question/527031
In 1987 Babe Ruth has a record setting season in which he hit 60 home runs for New York Yankees. If babe Ruth continues at the same rate how many home runs will he hit over the next 3 seasons?
Answers
Answer:
If he maintains the same rate he'll hit 180 home runs over the next three seasons.
Step-by-step explanation:
If he maintains the same rate of homeruns per season as he did in 1987 the number of home runs he'll hit over the next three seasons is the rate from 1987 multiplied by 3. We have:
number of home runs = 3*rate
number of home runs = 3*60
number of home runs = 180
If he maintains the same rate he'll hit 180 home runs over the next three seasons.
What is the sum of the interior angles of the polygon shown below?
Answers
Answer:
540
Step-by-step explanation:
5•180= 900
900 - 360 =540
Answer:
540 degrees
Step-by-step explanation:
Jan is trying to increase her water intake to meet recommended guidelines. She currently consumes 2 (24 oz. each) bottles of water per day, and 2 cups (8 oz. each) of low-fat milk. Assuming that she will obtain 15% of her fluid needs from foods, how many cups of water does she still need to drink?
Answers
Answer:
Extra 4 cups to make up 11 cups a day
Step-by-step explanation:
Here we have that Jan obtains 15% of her fluid needs from food, therefore, she gets the remaining 85 % from drinking water
If the recommended daily intake = 2.7 liters or 91.3 oz
And she already consumes 48 oz of water and 16 oz of milk
Note milk is equivalent to 0.87 water therefore total intake = 48 + 16*0.87= 61.92 oz
She needs to take additional (91.3 - 61.92) = 29.4 oz or 3.68 ≈ 4 cups extra to meet her recommended daily dosage.
Find the solutions of the quadratic equation Choose 1 answer:
Answers
Answer:
B
Step-by-step explanation:
What is the value of the expression StartAbsoluteValue negative 7 EndAbsoluteValue + StartAbsoluteValue negative 4 EndAbsoluteValue?
Answers
Answer:
11
Step-by-step explanation:
|-7|+|-4|
-|-7|-|-4|
Answer 11
Answer:
11
Step-by-step explanation:
can i pls have brainlist i really need it to level up plss
In , the world's largest pumpkin weighed kilograms. An average-sized pumpkin weighs grams. The world-record pumpkin weighs blank kilograms more than an average-sized pumpkin. The solution is_______
Answers
Answer:
Complete question statement is;
n 2009, the worlds largest pumpkin weighed 1,725 kilograms. An average sized pumpkin weighs 5000 grams. The 2009 world record pumpkin weighs ___ kilograms more than the average sized pumpkin
Step-by-step explanation:
The answer to this is that world record pumpkin weighs 1720 kilograms more than the average sized pumpkin
In one kilogram, there are 1,000 grams i
so 5,000 grams means to be equivalent to 5 kilograms.
Now since we are in same metric units, we can now compare the largest weight and the average weight which would be;
= 1725 - 5
= 1720 kilograms
So the difference between largest weighed and average weighed pumpkin is 1720 kilograms
Final answer:
The world-record pumpkin weighs 13.5 kilograms more than an average-sized pumpkin, with the weight of the average pumpkin being 0.243 kilograms and the approximate world-record weight being 13.7 kilograms.
Explanation:
To solve how many kilograms more the world-record pumpkin weighs than an average-sized pumpkin, we need to calculate the difference in their weights. Given that an average-sized pumpkin weighs 243 grams, which is equivalent to 0.243 kilograms (since 1 kg = 1000 g), we need to know the weight of the world's largest pumpkin in kilograms.
We're given that the least precise measurement is 13.7 kg. Assuming that the world-record pumpkin weighs this amount, we subtract the mass of the average pumpkin (0.243 kg) from the world-record pumpkin mass (13.7 kg).
So the calculation is:
13.7 kg - 0.243 kg = 13.457 kg
To express our answer to the same precision as the least precise measurement, we round it to the tenths place. Therefore, the world-record pumpkin weighs 13.5 kilograms more than an average-sized pumpkin when rounded to the nearest tenth of a kilogram.