Answers
Answer:
x(angle A)=18.9 Angle B=94.5 Angle C=66.6
Step-by-step explanation:
Angle A+ angle B+ Angle C= 180
(x)+(5x)+(4x-9)= 180
add the x components: x+5x+4x= 10x
10x-9 =180
add 9 to each side to balance the equation
10x=189
Divide each side by 10 to get x
10x/10=x 189/10= 18.9
x=18.9
Put x back into the equations
B=5x B=5(18.9) B=94.5
C=4x-9 C=4(18.9)-9
C=66.6
Answer:
We first solve for x, then plug that value into all angle measures.
As selected in the first part,
m∠A + m∠B + m∠C = 180°,
We use this formula to solve for x.
Replace those angle variables with its actual equations, knowing that:
Angle A = x °Angle B = 5x°Angle C = 4x - 9°So, set up the equation:
m∠A + m∠B + m∠C = 180°,
x + (5x) + (4x - 9) = 180°
Solve for x;
x + (5x) + (4x - 9) = 180°
Group and combine like terms;
(5x + x + 4x) + (-9) = 180°
10x - 9 = 180°
Get rid of constants;
+9 +9
10x = 189°
Get rid of co-efficient;
÷10 ÷10
x = 18.9°, x is equal to 18.9°.
Now, plug the value of x into angle 'A':-
x °
(18.9) °
∠A = 18.9°.
Then, plug the value of x into angle 'B':-
5x°
5(18.9) °
94.5°
∠B = 94.5°.
Finally, plug the value of x into angle 'C':-
4x - 9°
4(18.9) - 9°
75.6 - 9°
66.6°
∠C = 66.6°.
Related Questions
Fill in the blank spaces please.
Answers
PART A
If 4 pounds = 10 dollars...
4/2 = 2
10/2 = 5
So for 2 pounds, it would cost $5.00
Now for the 1 pound one
4/1 = 4
10/4 = 2.5
For the 1 pound one, it would cost $2.50
PART B
We know that 4 pounds = 10 bucks
Since 1 is 1/10 of 10 (in the cost section), we have to apply this to the pounds section. 4/10 = 0.4. Therefore, $1 = 0.4lb
Now for the last blank...
Since $1 = 0.4, we multiply that by 9. 0.4 x $9 = 3.6lb
HOPE THIS HELPED
This one is a little tricky, if you can help please do
Answers
Answer:
Answer:
3.5 fluid ounces
Step-by-step explanation:
In this question, we are asked to calculate the capacity in fluid ounce of a cone-shaped cup.
To solve this, we need to calculate the volume of the cup.
Mathematically, the volume of a cone =
1/3 * π * r^2 * h
Where r = d/2 = 2.7/2 = 1.35 inches
h = 3.3 inches
By substituting this, we have
V = 1/3 * 3.14 * 1.35^2 * 3.3 = 6.3 cubic inch
Now we proceed to calculate the capacity
From the question, we are told that ;
1 fluid ounce = 1.8 cubic inch
This means
x fluid ounce = 6.3 cubic inch
x = 6.3/1.8
x = 3.5 fluid ounces
Step-by-step explanation:
Please mark as brainliest
plss helpppppppppppppp
Answers
What are the perimeter and area of a rectangle with a length of 20 in. and a width of 15 in.?
*
P = 35 inches, A = 300 square inches
P = 70 inches, A = 300 square inches
P = 300 inches, A = 70 square inches
P = 35 inches, A = 200 square inches
Answers
P = 70 inches, A = 300 square inches
hope it helps...!!!
Area= 20in x 15in
Area=300in^2
Perimeter=L1+L2+W1+W2
Perimeter= 20+20+15+15
Perimeter=70 inches
A certain fraction has a denominator of 8. It is less than 1/2 but
more than 1/4. What is the fraction?
Answers
Answer:
3/8
Step-by-step explanation:
4/8 is a half and 2/8 is a quarter, 3/8 is in between those 2 boundaries
1/2 =4/8
1/4 =2/8
Complete the stem-and-leaf plot for the list of test grades.73, 42, 67, 78, 99, 84, 91, 82, 86, 94
Answers
4/2
5/
6/7
7/3,8
8/2,4,6
9/1,4
The stem-and-leaf plot for the list of test grades is created below.
What is Stem and leaf plot?A stem-and-leaf plot is a graphical representation of data that organizes values into a format that displays both the individual data points and their corresponding frequency. It is a way to represent a set of numerical data visually.
To create a stem-and-leaf plot, we separate each number into a stem and a leaf. The stem represents the tens digit, and the leaf represents the ones digit.
Here is the completed stem-and-leaf plot for the given test grades:
4 | 2
6 | 7
7 | 3, 8, 8
8 | 2, 4, 6, 6
9 | 1, 4, 9
In this plot, the stem represents the tens digit, and the leaves represent the ones digit.
For example, the grade 73 is represented as 7 as the stem and 3 as the leaf. The grade 82 is represented as 8 as the stem and 2 as the leaf.
Learn more about Stem and leaf plot here:
https://brainly.com/question/32053953
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A fourth album has a mean length of 8 minutes with a mean absolute deviation of 1.2. Is this data set very different from each of the others?
Answers
Answer:
b
Step-by-step explanation:
I had a question on a test that just like that one and I got it right
find the P(D') and P(T')
Answers
Write each equation in slope-intercept form.
(If correct, will give brainliest)
Answers
Answer:
Step-by-step explanation: The slop intercept form is y= mx +b .
Subtract 3x from both sides of the equation . Divide each term by 4 and simplify .
Answer:
1) 3x + 4y = 8 = y=mx+b
I'm sorry all I know is the 1st one.
Good luck on the rest! :)
Step-by-step explanation:
question below......
Answers
Answer:
12π, option C is correct.
Using a shorter form of pi, the first step is to assign the default value for every circumference-radius problem. The r is the same value as radius, so in this case, that would be 6 m.[tex]C = 2\pi r[/tex]
Next, split this value into an equation, breaking down all 3 parts.[tex]2\pi r = 2 * \pi * 6[/tex]
Using the short form of pi, if you multiply all 3 numbers, your answer rounds to 37.68 m(Which is not on-the-nose, just an estimate that is extremely close to the real number).________________________________________________________
With the previous information, your answer is C.
________________________________________________________
What have we learned?We learned what a problem using radius-to-circumference looks like, and how to solve it using 3.14 for pi.
Questions related to the topic? Ask me in the comments box.
WILL CHOOSE BRAINLIEST, which statement is not true?
Answers
Answer:
B. 7^12/7^15=7^3 would be not true.
Hello fellow brainly users! If you could please help me find the answers (One that was answered is wrong.) i will grant you 20 points, Image is attached!
Answers
Answer:
the answer is B
Step-by-step explanation:
Point H has coordinates (–7, 2). What are its coordinates after it is rotated 180° about the origin?
Answers
Answer:
180 would flip it on its side so -2,7
Step-by-step explanation:
There is a pair of parallel sides in the following shape.
What is the area of the shape?
Answers
Answer:
15
Step-by-step explanation:
3x3 plus 7x3 = 30 divided by 2
The area of the quadrilateral is equal to 15 square units.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the quadrilateral in a two-dimensional plane is called the area of the quadrilateral. A quadrilateral is a four-sided polygon with four edges and four corners in geometry.
Given that the quadrilateral has a height of 3 units, the base is 3 units and the upper sides are 7 units.
The area of the quadrilateral is calculated by the formula,
Area = (1/2) x h x (a + b)
Substitute the values in the formula and calculate the area,
Area = (1/2) x 3 x (7 + 3)
Area = (10 / 2) x 3
Area = 5 x 3
Area = 15 square units
To know more about an area follow
https://brainly.com/question/27991573
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Eddie purchased 15 boxes of paper clips and 7 packages of index cards for a total of $55.40. Finn bought 12 boxes of paper clips and 10 packages of index cards for $61.70. Find the cost of one box of paper clips and one package of index cards
Answers
The cost of one box of paper clips is $1.85 and the cost of one package of index cards is $3.95
Step-by-step explanation:
Eldora and Finn went to an office supply store together
Eldora bought 15 boxes of paper clips and 7 packages of index cards for a total cost of $55.40
Finn bought 12 boxes of paper clips and 10 packages of index cards for a total cost of $61.70
We need to find the cost of one box of paper clips and the cost of one package of index cards
Assume that the cost of one box of paper clips is $x and the cost of one package of index cards is $y
∵ x represents the cost of one box of paper clips
∵ y represents the cost of one package of index cards
∵ Eldora bought 15 boxes of paper clips and 7 packages of
index cards for a total cost of $55.40
∴ 15x + 7y = 55.4 ⇒ (1)
∵ Finn bought 12 boxes of paper clips and 10 packages of
index cards for a total cost of $61.70
∴ 12x + 10y = 61.7 ⇒ (2)
Now we have system of equations to solve it
Multiply equation (1) by -10 and equation (2) by 7 to eliminate y
∵ -10(15x) + -10(7y) = -10(55.4)
∴ -150x - 70y = -554 ⇒ (3)
∵ 7(12x) + 7(10y) = 7(61.7)
∴ 84x + 70y = 431.9 ⇒ (4)
Add equations (3) and (4)
∵ (-150x + 84x) + (-70y + 70y) = (-554 + 431.9)
∴ -66x = -122.1
- Divide both sides by -66
∴ x = 1.85
Substitute the value of x in equation (1) or (2) to find y
∵ 12(1.85) + 10y = 61.7
∴ 22.2 + 10y = 61.7
- Subtract 22.2 from both sides
∴ 10y = 39.5
- Divide both sides by 10
∴ y = 3.95
The cost of one box of paper clips is $1.85 and the cost of one package of index cards is $3.95
(this is an answer I got previously)
A plastic bin in the shape of a cube contains 900 marbles, each with a volume of 8 in?. If the cube has side lengths of 2 feet, find the volume of the empty space in the bin (in cubic inches).
HELP QUICK ITS SO DIFFICULT
Answers
Find Each missing measure in the following problem
Answers
Answer:
angle 2=62°
angle 3=66°
angle 1=147°
Step-by-step explanation:
ang 2=62° (vertically opposite angle )
62+90+142+angle 3=360° (sum of angle of quadrilateral is 360°)
294+ang 3=360°
angle 3= 360-294
angle 3=66
60+71+62+angle 1=360°
213+angle 1= 360°
angle 1= 147°
Select the correct answer from each drop-down menu.
To attend a basketball game, an adult’s ticket costs $35 and a child’s ticket costs $25.
If c children and 3 times as many adults go to the game, the expression
represents the amount they spend in dollars on tickets. If the number of children who go to the game is 2, it costs the group
for the tickets.
Answers
Answer:
$260 because if there are two children you do 2x25=50 then 2x3=6 then 6x35=210 and then add 50 and 210 and you get 260.
Answer:
$260
Step-by-step explanation:
One Adult Ticket= $35
One Child Ticket= $25
Let c represent children and a represent adult
1)Cost for children = [tex]2c*25= $50[/tex]
2)Formula to find number of adults = [tex]2c+3=6a[/tex]
3)Cost for adults = [tex]6a*35=210[/tex]
4) Cost for group = [tex]210+50=260[/tex]
Answer = $260
Hope this helps!
**Brainliest would be appreciated**
Hope you have a good day/night
brainliest if it is right
Answers
Answer:
y = 10x + 35 is the equation
Step-by-step explanation:
The slope is 10. As the x changes by 1, the y changes by 10. The y intercept is where the graph intercept the y axis. That is at 35.
Need help with question #2
giving crown
Answers
Answer:
Here you are my good sir!
Step-by-step explanation:
In a translation transformation all the points in the object are removed in a straight line in the same direction. The size, the shape and the orientation of the image are the same as that of the original object. Same orientation means that the object and imageare facing the same direction. Example: We describe a translation in terms of the number of units moved to the right or left and thenumber of units moved up or down. Example: Move the object 2 units to the right and 4 units up.
1.What is the theoretical probability of popping a striped balloon?
2.What is the experimental probability of not popping a polka dot balloon?
18 solid balloons, 5 polka dot balloons and 17 striped balloons
NO LINKS PLS HELP
Answers
2. The probability of not popping a polka dot balloon is 35/40
find the quotient of 156.38 and 100.
Answers
Answer:
move the decimal two times to the left and you get 1.5638
SOMONE HELPPPP PLEASEE!!
Answers
Answer:
animal weights 15 pounds at birth
please make this answer brainliest If I helped you!
Answer:
animal weights 15 pounds at birth
Step-by-step explanation:
Suppose P, Q, and R are points in the plane such that PQ=1.8, PR=8.2, and angle PQR=90 degrees. What is the area of triangle PQR$?
Answers
Answer:
7.2 sq units
Step-by-step explanation:
Seeing as this is a right triangle, and the hypotenuse and one leg is given, you can use the pythagorean formula to get the third side ([tex]\sqrt{8.2^2 - 1.8^2}[/tex]). Now that we have this leg, we can multiply this by 1.8, then divide it by two (area of triangle).
ASAP HELP I need to turn this in
Answers
Answer:
1. The greater range is the girls set.
2. The one with the greater median is the girls and the median is 110.
Step-by-step explanation:
The answers for the boys range from 60 to 120. This is a range of 60. For the girls, it is from 70 to 150, and that is a range of 80. The median(avg of middle points) of the boys is 90 and the median of the girls is 110(avg of 100 and 120).
B. The one with the greater MEDIAN is the set of girls their median was 10
If you need an explanation just ask
Hope this helps
An animated movie earned $1.1x10^9 in revenues at the box office. The movie lasts 9.1x10^1 minutes. How much revenue was earned per minute of the movie? Write your answer in scientific notation and round to two decimal places
Answers
C. Ben and Michael also participated in the long jump. Michael jumped 334 thousandths of a meter less than Kevin. Ben jumped farther than Michael but not as far as Kevin. Write a decimal to the thousandths that is greater than Michael's distance and less than Kevin's distance. Explain the reasoning you used.
Answers
Answer
Kevin jumped 1.55 meters
Ben jumped 1.445
micheal jumped 1.201
Step-by-step explanation:
The reason I used those numbers is Kevin jumped the highest, so I made him jump the farthest. Micheal jumped 334 thousandths of a meterless than Kevin so I put he jumped 1.201.
PLEASE HELP ASAP ILL GIVE BRAINLIEST IF CORRECT
△ABC has interior angles with measures x°, 100°, and 70°, and △DEF has interior angles with measures y°, 70°, and 50°.
Using the given information, which statement is true?
The two triangles are not similar because x≠y .
The triangles are similar because they each have an interior angle with a measure 70°.
The two triangles are not similar because the interior angles are congruent but the side lengths are different.
The two triangles are not similar because y = 60 so it is impossible to have three congruent angles.
Answers
X= 10 degrees
Y= 60 degrees
Looking at the options, we see that the first statement is true. And if the angles are not equal, the triangles are not able to be similar.
what is the mean absolute deviation (MAD) of the data set? 79, 80, 82,84,87
Answers
Answer: 2.64
79 + 80 + 82 + 84 + 87 = 412
412/5 = 82.4
|79 - 82.4| = 3.4
|80 - 82.4| = 2.4
|82 - 82.4| = 0.4
|84 - 82.4| = 2.4
|87 - 82.4| = 4.6
3.4 + 2.4 + 0.4 + 2.4 + 4.6 = 13.2
13.2/5 = 2.64
Answer the following about estimating 5,392/7.
Answers
Answer:
5600/7
It is an overestimate
5,392/7 = 770.29
