The sum of the three internal angles in a triangle is equal to 180 degrees.
a = 55°
b = 55°
c = 70°
The triangle abc is an acute isosceles triangle.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three internal angles is equal to 180 degrees.
We have,
Three angles of the triangle:
a = 3x + 1
b = 4x - 17
c = 5x - 20
The sum of the three angles of a triangle is 180 degrees.
a + b + c = 180
3x + 1 + 4x - 17 + 5x - 20 = 180
12x - -36 = 180
12x = 180 + 36
12x = 216
x = 216/12
x = 18
Now,
The angles are :
a = 3 x 18 + 1 = 54 + 1 = 55
b = 4 x 18 - 17 = 72 - 17 = 55
c = 5 x 18 - 20 = 90 - 20 = 70
We see that all their internal angles are acute angles.
This is an acute isosceles triangle.
Thus,
The triangle abc is an acute isosceles triangle.
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48 pounds of sand are are used to fill 12 bags, miranda uses the five step problem-solving plan. after completing the solving step how many pounds of sand should she find each bag will hold
Which quadrilaterals always have four right angles?
Choose all answers that are correct.
A. square
B. rhombus
C. trapezoid
D. rectangle
Which graph represents the function f(x) = −|x − 2| − 1?
Answer:
option 3
Step-by-step explanation:
[tex]f(x) = -|x -2| - 1[/tex]
The given equation is in the form of [tex]f(x) = a|x -h|+k[/tex]
where (h,k) is the vertex .
[tex]f(x) = -|x -2| - 1[/tex]
h=2 and k=-1 . the value of a=-1
Since the value of 'a' is negative so the graph will be upside down
option 3 is upside down and vertex at (2,-1)
So option 3 graph represents the function
Kay buys 12 pounds of apples.Each pound costs $20 bills. How much will change should she receive
Consider the graph of the equation y = 5. Which statements are true? Check all that apply. The graph of y = 5 is a vertical line. The graph of y = 5 is a horizontal line. The graph of y = 5 is neither a vertical line nor a horizontal line. The point (5, 3) lies on the line. The point (–4, 5) lies on the line.
Answer:
B and E
Step-by-step explanation:
Got these right on Ed
Gary read 34 pages of a 340 pages book what percentage did he read
As per linear equation, Gary read 10% of the book.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation."
Gary read 34 pages of a 340 pages book.
Therefore, the percentage of the book he read is
= (34/340) × 100%
= 10%
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How do I do this without a graph to plot points on
you can buy 5 t-shirts at baxter's for the same price that you can buy 4 t-shirts at Bixby's
find the percent increase for 13 friends to 14 friends round to nearest percent if you can
Final answer:
The percent increase from 13 to 14 friends is calculated as [(14 - 13) / 13] × 100, which gives a result of approximately 7.7%. After rounding to the nearest percent, the increase is 8%.
Explanation:
To find the percent increase from 13 friends to 14 friends, we use the formula for percentage change, which is:
Percentage Change = [(New Value - Original Value) / Original Value] × 100
In this case, our original value is 13 (the number of friends at the start) and our new value is 14 (the number of friends after the increase). So, we plug these numbers into our formula:
Percentage Change = [(14 - 13) / 13] × 100 = [1 / 13] × 100
Now, we calculate the fraction and then multiply by 100:
Percentage Change = (0.07692307692) × 100 ≈ 7.7%
When rounded to the nearest percent, the percent increase is approximately 8%.
Julia left school and travel toward the train station. One hour later Carlos left traveling at 30 mph in an effort to catch up to Julia. After traveling for two hours Carlos finally caught up. Find Julie is average speed
A pet shop uses 43 pounds of food each day. How many pounds are used in 365 days?
Marty has a fenced yard in the shape of a rectangle. It's area is 635.4 square feet. The width of the yard is 18 feet. What is the length of the fence?
The length of the rectangular yard, given an area of 635.4 square feet and a width of 18 feet, can be calculated using the formula for the area of a rectangle. Substituting the given values into the formula, we find that the length is approximately 35.3 feet.
Explanation:The question is about finding the length of a rectangular yard given its area and width. Recognizing that the formula for the area of a rectangle is Area = Length x Width, we can easily find the length of the yard by rearranging the formula.
To find the length of a rectangle when you know the area and width, use the rearranged area formula: Length = Area ÷ Width.
Given the values from the problem: Area = 635.4 sq ft and Width = 18 ft, we substitute them into the formula: Length = 635.4 ÷ 18. This results in a length of approximately 35.3 feet.
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Use long division to convert the rational number 5/7 to its equivalent decimal form. In your final answer, include all of your work.
A train consisting of 50 cars and 1 locomotive weighs a total of 4725 tons. the locomotive weighs 125 tons all the cars have the same weight. Find the weight of 1 car
What is 231 divided by 42
If a = 3 and b = 2, what is the value of the expression 11 + a - b ?
Which expression is equivalent to 3 square root 216x27 ?
6x3
6x9
72x3
72x9
The answer to your problem would be answer B. 6x^9. It is the only answer equivalent to the 3 square root 216x27.
Hope this helps. :3
Pattern x: Starts at 0. Rule: Add 3.
Pattern y: Starts at 0. Rule: Add 6.
The values of Pattern x and Pattern y are graphed on a coordinate graph. Some of the ordered pairs for this pattern are (0, 0) , (3, 6) , (6, 12) , and (9, 18) .
Which ordered pair also belongs to this pattern?
How much is 24 ounces of spread if it is $6.40 per pound?
Eric had 2 liters of water. He gave 0.42 liter to his friend and then drank 0.32 liter. How much water does he have left? Helpppp
Answer:
1.26
Step-by-step explanation:
sence he had 0.42 and 0.32 pluss 2 you would get the answer
evaluate 10 + 8÷4 - 12
estimate 102.3 divided by 4.7
Answer:
20
Explanation:
To estimate, we round. 102.3 rounds to 100 and 4.7 rounds to 5; this means we divide 100/5, which is 20.
Answer:
The estimate result of 102.3 divided by 4.7 is 20.
Step-by-step explanation:
Given : 102.3 divided by 4.7
We have to estimate 102.3 divided by 4.7
Since, estimation is the roughly calculation and is usually involves rounding to the nearest values so that they are easy to cancel out.
Since, we have to divide,
102.3 divided by 4.7
Rounding 102.7 to nearest tens place , we get, 102. 7 = 100
And Rounding 4.7 to nearest ones place, we get, 4.7 = 5
Thus, when divide 100 by 5 , we get 20.
Thus, 102.3 divided by 4.7 ≈ 20
Thus, The estimate result of 102.3 divided by 4.7 is 20.
1.75 rounded to the nearest whole number
The rounded number is given by A = 2
What is rounding up numbers?There are basically two rules while rounding up numbers
If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.
Non-zero digits are always significant
Zeros between non-zero digits are always significant
Leading zeros are never significant
Trailing zeros are only significant if the number contains a decimal point
Given data ,
Let the rounded number be represented as A
Let the number be represented as n
Now , the value of n = 1.75
And , when you round to the nearest ones place. The 1 in the ones place rounds up to 2 because the digit to the right in the tenths place is 7.
When the digit to the right is 5 or greater we round away from 0.
So , the rounded number is A = 2
Hence , the rounded number is A = 2
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Carla’s credit card statement showed that she owed $350. She made a payment of $200, then she charged $23 for gasoline. She returned a sweater she had charged earlier for a refund of $35. Then she charged $15 at the bookstore. How much does she still owe?
256is what percent of 400=
the attendance at two baseball games on successive nights was 66,000 the attendance on Thursdays game was 6,000 more than 2/3 of the attendance at Friday nights game
Fridays game = x
Thursdays game = 2/3x +6000
x + 2/3x +6000 = 66000
x +2/3x = 5/3x
5/3x + 6000 = 66000
5/3x = 60000
x = 60000 / 5/3 = 36000
Friday night = 36000
Thursday night = 30000
the sum of twice a number and 9 is 43
Answer:x=17
Step-by-step explanation:
Samuel recorded the number of different types of pets his friends have in the table shown below:
Cats 5
Dogs 3
Rabbits 1
Guinea Pigs 3
Which of the following plots represents the data in the table?
A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 5 crosses, Dog has 3 crosses, Rabbit has 5 crosses, and Guinea Pig has 3 crosses. The line is labeled Number of Pets, and title of graph is Pet Owners.
A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 1 cross, Dog has 3 crosses, Rabbit has 1 cross, and Guinea Pig has 3 crosses. The line is labeled Number of Pets, and title of graph is Pet Owners.
A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 5 crosses, Dog has 3 crosses, Rabbit has 1 cross, and Guinea Pig has 3 crosses. The line is labeled Number of Pets, and title of graph is Pet Owners.
A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 4 crosses, Dog has 2 crosses, Rabbit has 0 cross, and Guinea Pig has 2 crosses. The line is labeled Number of Pets, and title of graph is Pet Owners.
Answer:
option: C is correct.
Step-by-step explanation:
We are given a information as:
Samuel recorded the number of different types of pets his friends have in the table shown below:
Cats 5
Dogs 3
Rabbits 1
Guinea Pigs 3
The plot based on this information will be:
A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 5 crosses ( since it is observed that there were 5 cats) , Dog has 3 crosses, Rabbit has 1 cross, and Guinea Pig has 3 crosses. The line is labeled Number of Pets, and title of graph is Pet Owners.
Hence, option: C is correct.
mr smith waters one one of his plants every 10 days and another plant every 14 days. If he water both days today when is the next time both plants will be watered on the same day?.
Answer:
after 70 days.
Step-by-step explanation:
Mr. Smith waters one of his plants every 10 days and another plant ever 14 days.
he waters both plants today we have to find the next time both plants will be watered on the same day.
So we will take LCM of these numbers.
LCM of 10 , 14
= 2 × 5 × 7
= 70
The next time both plants will be watered on the same day after 70 days.
what is a solution to (x-2)(x+10)=13?
a: x=3
b: x=8
c: x=10
d: x=11