triangle ABC has perimeter 22cm
AB= 8cm
BC= 5cm
by calculation deduce whether triangle ABC is right-angled triangle
Answers
9514 1404 393
Answer:
not a right triangle
Step-by-step explanation:
The perimeter is 22, so we have ...
AB +BC +CA = 22
8 + 5 + CA = 22
CA = 22 -13 = 9
If this is a right triangle, the sum of the squares of the short sides will be equal to the square of the long side.
AB² +BC² = 8² +5² = 64 +25 = 89
This is not the same as ...
CA² = 9² = 81
The triangle is not a right triangle.
_____
Additional comment
If you're familiar with a few Pythagorean triples, you know that a couple involving a side length 5 are (3, 4, 5) and (5, 12, 13). That is, (5, 8, 9) is NOT a Pythagorean triple, so you know immediately that those side lengths do not form a right triangle. (No calculation is necessary.)
Related Questions
A kennel has 65 dogs in total some are puppies and some are adult dogs the ratio of puppies to adult dogs in a kennel is 2:3 how many puppies are there
Answers
Answer:
26 puppies
Step-by-step explanation:
Step one:
Given data
We are given that there are 65 dogs in total
The ratio of puppies to adult dogs in a kennel is 2:3
Total ratio= 2+3= 5
Required
The number of puppies in the kennel
Step two:
Let us the part to all method to find the number of puppies
let the number of puppies be x
2/5=x/65
cross multiply we have
5x= 65*2
5x= 130
divide both sides by 5
x= 130/5
x=26 puppies
Also, the number of adults dog is
65- 26= 39
Need to know the following angle
Answers
Given:
[tex]m\angle A=(2x-15)^\circ[/tex]
[tex]m\angle B=(x-5)^\circ[/tex]
[tex]\text{Exterior}\ m\angle C=148^\circ[/tex]
To find:
The [tex]m\angle ABC[/tex].
Solution:
In triangle ABC,
[tex]\text{Exterior}\ m\angle C=m\angle A+m\angle B[/tex] [Exterior angle theorem]
[tex]148=(2x-15)+(x-5)[/tex]
[tex]148=3x-20[/tex]
[tex]148+20=3x[/tex]
[tex]168=3x[/tex]
Divide both sides by 3.
[tex]\dfrac{168}{3}=x[/tex]
[tex]56=x[/tex]
Now,
[tex]m\angle ABC=(x-5)^\circ[/tex]
[tex]m\angle ABC=(56-5)^\circ[/tex]
[tex]m\angle ABC=51^\circ[/tex]
Therefore, [tex]m\angle ABC=51^\circ[/tex].
plssss answer due very soon
Answers
Answer:
Step-by-step explanation:
Answer:
2nd option
Step-by-step explanation:
[tex]4\frac{1}{3} *\frac{3}{5} =\frac{13}{3} *\frac{3}{5} =\frac{13}{5} =2\frac{3}{5}[/tex]
6 quarts =
gallons
Please i meed help answer fast
Answers
Answer:
1 2/4 or 1.5
Explanation:
There are 4 quarts in a gallon, and 2 left over add 1/2 to the full gallon. So, 1 gallon, plus 2 quarts, which is equal to 1/2 gallon, is 1.5 gallons :D
Hope this helped!
im stuck on this question i need help
Answers
At Yankee Candle, four large candles and three small candles sell for $34. For
two large candles and one small candle, the cost is $16. Choose a system of
equations to find the cost of large and small candles.
Answers
Answer:
the answer is D
Step-by-step explanation:
{4x+3y=34
{2x+y=16
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The system of equations to find the cost of large and small candles are,
4x + 3y = 34
2x + y = 16
Option D is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example: 2x + 4 - 8 is an equation.
We have,
At Yankee Candle, four large candles and three small candles sell for $34. For two large candles and one small candle, the cost is $16.
Large candles = x
Small candles = y
Now,
4x + 3y = 34
2x + y = 16
Thus,
The system of equations to find the cost of large and small candles are,
4x + 3y = 34
2x + y = 16
Option D is the correct answer.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ2
Solve for x, using the exterior angle theorem.
Answers
Answer:
x=121 degrees
Step-by-step explanation:
The extetior angle theorem states that one exterior angle is equivalent to the sum of the opposite two interior angles. So, we can say that x is the sum of the opposite two interior angles, (53 and 68), and 53+68=121.
Multiple Choice
Which of the following represents a unit rate?
A. four dollars over twelve books
B. five pages over two minutes
C. eighty beats over one minute
D. seventy two inches over two yards
Answers
Answer:
c
Step-by-step explanation:
unit rate is a rate with one in the denominator
Mark tried to pour 36 ounces of tea into 3 cups After filling the cups to the top there was still 13.5 ounces left in his tea pot if each cup is the same size how much tea is in each cup
Answers
Answer:
12
Step-by-step explanation:
its 12
Express in the form n : 1.
Give n as a decimal.
6:4
Answers
Answer:
[tex]Ratio = 1.5 : 1[/tex]
Step-by-step explanation:
Given
[tex]Ratio = 6 : 4[/tex]
Required
Express as [tex]n : 1[/tex]
[tex]Ratio = 6 : 4[/tex]
Divide ratio by 4
[tex]Ratio = 6/4 : 4/4[/tex]
[tex]Ratio = 6/4 : 1[/tex]
Express 6/4 as 1.5
[tex]Ratio = 1.5 : 1[/tex]
Hence, the equivalent of [tex]6:4[/tex] is [tex]1.5 : 1[/tex]
Please helpppppp !!!!!!!!!!!!!! Will mark Brianliest correct answer !!!!!!!!
Answers
Answer:
21
Step-by-step explanation:
a^2 + b^2 = c^2
20^2 + b^2 = 29^2
400 + b^2 = 841
b^2 = 441
21 = b
Jordan exercises from 6 a.m. to 8 a.m. on all
days included in the set of days from Monday
to Saturday, exclusive. How many hours does
Jordan exercise per week?
Answers
Answer:
12 hours
Step-by-step explanation:
They work out from 6 to 8, that is two hours. Then, they workout 6 days of the week. 6 times 2 is 12
Marisa wants to buy an iPad. She
already saved $25 and plans to
save an additional $10 each week.
Write an expression that represents
the total amount of money Marisa
has saved after any number of
weeks. Use w for number of weeks.
Answers
Answer:
f(w)(or y)=10w+25
Step-by-step explanation:
The 25 is how much you have saved up and the 10 is how much you get each week
15 POINTS PLEASE HELP!!!
Answers
Answer:
D
Step-by-step explanation:
2x+4y=0 y=1/2x-3 solve for x
Answers
Answer:
There are 2 equal signs in this equation there is no way to solve it if there are 2 equal signs
Step-by-step explanation:
Answer:
x = 1/3
Step-by-step explanation:
2x + 4y = 0
y = 1/2x - 3
substitution method: 2x + 4(1/2x - 3) = 0
2x + 2x - 4/3 = 0
4x = 4/3
12x = 4
x = 4/12 or 1/3
ummmmmmmmmmmmmmmmmmmmmmmmmm help pls
Answers
Answer:
[tex]\displaystyle m=\frac{-5}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (2, 2)
Point (4, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]\displaystyle m=\frac{-3-2}{4-2}[/tex]Subtract: [tex]\displaystyle m=\frac{-5}{2}[/tex]Need answer fast
The average adult has 1.2 to 1.5 gallons of blood in their body. How much blood does the average adult have in liters?
Answers
Answer:
5.678 liters in 1.5 gallons and 4.542 for 1.2 gallons in liters
PLEASE HELP ASAP!! Will give BRAINLIEST for the first correct answer!
Dr. Hammer noticed that the distribution of scores for his psychology class's last unit test was
not normal. In fact, the class results were positively skewed. According to this, which of the
following would be true?
OPTIONS:
A. The mean, median, mode would all be the same
B. The mean would be higher than the median and mode
C. The mean and median would be the same, but the mode would be higher
D. The mode and median would be higher than the mean
Answers
Answer:
E
Step-by-step explanation:
Answer:
B. The mean would be higher than the median and mode
Step-by-step explanation:
how many 3/5 are in 9/10s
Answers
Answer:
There are about 1.5 3/5s in 9/10.
Step-by-step explanation:
3/5 = 0.6
9/10 = 0.9
0.9 / 0.6 = 1.5
Answer:
1.5
Step-by-step explanation:
If you use a calculator and divide 9/10 by 3/5 then you will simply get 1.5 you wont need to simplify the fractions to decimals.
9/10 ÷ 3/5 = 3/2=1.5
There are Thewre are 3/2 or 1.5 3/5 in 9/10
What is the length of line segment PQ shown below?
Answers
The equation P = 16,250 + 75n can be used to determine the population, P, of a city after n years. Which statements are true? Select ALL that apply. The initial population was 16,250 people. The initial population was 16,250 people. The population after 10 years was 16,325 people. The population after 10 years was 16,325 people. The population increases by 75 people each year. The population increases by 75 people each year. The population increases by 16,250 people each year. The population increases by 16,250 people each year. The population increases by 16,250 people every 75 years. The population increases by 16,250 people every 75 years.
Answers
Answer:
15000+1250x
Step-by-step explanation:
Since the initial population is 15,000, we want to know how many people are going to Jonesville each year. Assuming that in 2001 and in 2002, each year adds 1,250 people and that it is constant. The equation is 15000+1250x in which 15,000 represents the initial number and 1250 is the amount of people added each year followed by x which is the number in years.
To solve the equation 2−5(3+4x)=2x+7, Miranda's first step was to write 2−15−20x=2x+7. Which property did Miranda use in her first step?
Answers
Answer:
Step-by-step explanation:
distributive
At a sleepover, three friends are 5/8 of a pizza. For a snack the next day, the friends at 1/2 if the leftover pizza. What fraction of the pizza was not eaten?
Answers
Answer:
if im thinking right (i dunno if i am) but im pretty sure its 3/16
Step-by-step explanation:
bc if 5 of the slices were eaten that would be 3/8 and if they ate half of that the its 3/16 or 0.1875 I THINK im right but double check
expand the polynomial
(x^(2)+xy-y^(2))(x+y)
Answers
Answer:
It's already expanded.
6th grade math help me plzzz
Answers
Answer:
D
Step-by-step explanation:
Answer:
answer is d
2upon7
hope you understand
What is the value of a?
Answers
Answer:
9
Step-by-step explanation:
Which equation represents a linear function?
x= 3
y=-3x + 10
y = 150
y = 3x2 + 1
Answers
Determine how far the vehicle travels in 3 hours.
A motorcycle travels 25 miles every 0.5 hour.
Answers
Answer:
Motorcycle travel 150 miles in 3 hours
step by step explanation:
3:0,5=6
25
. 6
___
150
Determine whether or not the function is linear or nonlinear.
Answers
Answer:
Nonlinear
Step-by-step explanation:
This line is not straight so it's not linear.
Linear is a straight line.
nonlinear is any line that's not straight.
Ace Carlos
Need this very badly giving 10 points
Answers
Answer:
A is your answer
Step-by-step explanation:
width= 9 cm
length= 5 cm
height= 20cm
formula: 2(lw+lh+hw)
2(5*9+ 5*20+ 20*9)
2(45+ 100+ 180)
2(325)= 650 cm