Triangle is defined as the joining of three non-collinear points. The triangles based on their properties can be isosceles, scalene, equilateral, and right-angled triangles.
In the given image, the correct statements for the triangle LMN are:
A. LM ⊥ MN
D. The triangle is isosceles.
E. The triangle is a right-angled triangle.
In the given image, a right-angled triangle can be an isosceles triangle, which has its two sides equal. The right-angled triangle is defined as the triangle having one of the angles at 90-degrees.
In the given image, LM is perpendicular to the MN.
Also, the triangle is isosceles, such that LM and MN are equal because the angles MLN and LNM will be 45-degrees.
Thus, the triangle is isosceles.
The triangle is right-angled because the line segment LM is perpendicular to the MN.
Therefore, triangle LMN is an isosceles and right-angled triangle.
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The triangle is a right triangle.
Explanation of properties of triangle LMN including perpendicular segments, scalene triangle, and being a right triangle.
LM ⊥ MN: This statement indicates that segment LM is perpendicular to segment MN in triangle LMN.
The triangle is scalene: A scalene triangle has all sides of different lengths, indicating that the triangle is not equilateral or isosceles.
The triangle is a right triangle: Since LM is perpendicular to MN, this implies the triangle is a right triangle.
Complete question-
What is true about triangle LMN? Check all that apply.
LM ⊥ MN.
The triangle is scalene.
The triangle is equilateral.
The triangle is isosceles.
The triangle is a right triangle.
Giving who ever answers correctly over 30 points.
1: Solve for x.
x - 3/8 = - 5/8
a: x=1/4
b: x= -1/4
c: x= -1
2: Solve for x.
2x = 15 + x
a: x= -15
b: x= 15
c: x= 15/2
3: Solve for x.
x + 5 = 2x
a: x=3
b: x= -5
c: x= 5
The first one would be b,
second is b
third is c.
Hope this helps!
you can use similar triangles to find the height of a tree. Triangle ABC is similar to triangle DEC. what is the height of the tree?
please explain it too ^_^
The height of the tree is 10 feet.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know the ratios of the lengths of the corresponding sides are equal when two figures are similar, if triangle ABC and triangle DEC are similar, then we may write,
AC/DC = BC/EC = AB/DE = k
BC= 9ft + 6ft = 15
BC/EC= k
15/6=k
Now from this value of 'K' we can determine the height of the tree which is,
AB/DE = k
AB/4 = 15/6
6AB = 15 x 4
AB = 60/6 = 10
The height of the tree is 10ft.
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Set up an equation that can be used to solve the problem. Solve the equation and determine the desired value.
At a boating and sports store, the cost of renting a personal watercraft is $53 per half hour, which includes a 6% sales tax. Determine the cost of a half hour rental before tax.
The equation is ?. The cost of a half hour rental is $? Per half hour.
Type an equation using x as the variable.
A baker used 4 cups of flour to make 5 batches of brownies. He used_of a cup of flour to make 1 batch of brownies
Please help me!! This is due by 11.59pm. Please show how you got the answer. I got $270.
ShopRite has jeans on sale for 3/10 off .Save more has jeans on sale for 33% off for has a better sale on jeans?explain.
4(x+8)-4=34-2x steps
Dr. McDonald thinks that his group of earth science students is particularly special (in a good way), and he is interested in knowing if their class average falls within the boundaries of the average score for the larger group of students who have taken earth science over the past 20 years. Because he has kept good records, he knows the means and standard deviations for both his group of 36 students and the larger group of 1,000 past enrollees. Here are the data he has, and the values for which you will need to compute the z-test
What number goes on top and how do you solve it.
A pet store has 9 puppies and 48 kittens.
What is the ratio of kittens to puppies?
Enter your answer in simplest fractional form in the box.
The ratio of kittens to puppies is [tex]\dfrac{16}{3}[/tex].
Given:
The number of puppies is 9.
The number of kittens is 48.
To find:
The ratio of kittens to puppies.
Explanation:
The ratio of kittens to puppies is the fraction of the number of kittens and the number of puppies. So,
[tex]\text{Ratio}=\dfrac{\text{Number of kittens}}{\text{Number of puppies}}[/tex]
[tex]\text{Ratio}=\dfrac{48}{9}[/tex]
[tex]\text{Ratio}=\dfrac{16}{3}[/tex]
Therefore, the ratio of kittens to puppies is [tex]\dfrac{16}{3}[/tex].
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Benjamin solved the equation 3+/2=10 and justified each step as shown. Identify Benjamin’s error and fix his mistake.
3+x/2=10 GIVEN
x/2=7 MULTIPLICATION PROPERTY OF EQUALITY
x=14 SUBTRACTION PROPERTY OF EQUALITY
Find the outlier in the data: 38, 38, 18, 28, 36, 30, 39, 32. How does the outlier affect the mean? If necessary, round to the nearest tenth. 43; raises it by 1.5. 18; lowers it by 2. 43; lowers it by 1.5. 18; raises it by 2.
The angles of a quadrilateral are 140, 80, 60, and 80
What type of quadrilateral could it be?
do any of the points below fall on the linear equation shown. Please show work
find the new amount given the original amount and the percent of change. 29,000; 4% decrease
is 5 factor of the number 38 yes or no
A farmer had 1,000 horses and cows. After selling some of them, he had 550 horses and 350 cows left. How many horses and cows did he sell altogether?
You put $550 in an account that earns 4.4% simple interest per year. How much interest do you earn in 6 month
$1.21
$12.10
$121.00
$145.20
4. Grace works from 10 to 20 hours per week while attending college. She earns $9.00 per hour. Her roommate Frances also has a job. Her pay for t hours each week is given by the function f(t)= 10t, where 5
If d = 20 and C = 20π
If d = 26 and C = 26π
If r = 12 and C = π
If r = 18 and C = 14π
If r = 6 and C = 12π
If r = 50 and C = 100π
^Matches w
then d = 1
then d = 100
then d = 12
then d = 14
then r = 10
then r = 13
What goes w what!
A soccer field has an area of 7/8 square miles. The length of the field is 2/5 miles. What is the width of the soccer field?
Answer: The answer is 35/16 miles
Step-by-step explanation: I have my ways ;>
The figure shows the letter T and four of its transformed images—A, B, C, and D. (See image.)
Which of the four images was formed by a reflection of the letter T?
A) A
B) B
C) C
D) D
What is 23/35 simplified?
write the answer as a decimal fraction 14/100=? /10+? /100=?
To write the fraction 14/100 as a decimal fraction, divide the numerator by the denominator. The result is 0.14. Additionally, dividing any number by 100 will result in moving the decimal two places to the left.
Explanation:To write the fraction 14/100 as a decimal fraction, divide the numerator (14) by the denominator (100). 14 divided by 100 is equal to 0.14.
To find an expression as a decimal fraction, you can first convert the fractions to a decimal by dividing the numerator by the denominator.
For example, 10/100 is equal to 0.10 (10 divided by 100) and ?/100 is equal to ? (dividing any number by 100 will result in moving the decimal two places to the left).
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I need help Simplifying!!!!!!!!!!
2x−(x+6)
Noah currently has an account balance of $2,976.45. He opened the account 11 years ago with a deposit of $1,963.45. If the interest compounds quarterly, what is the interest rate on the account?
Answer:
The interest rate is 3.79% or 3.8%
Step-by-step explanation:
The formula to find how much money A we have at the end of t years if we start with a principal or amount of money P today and the interest is compounded n times in the years is:
A=P(1+ r/n)^(nt) (1)
Here A = $2,976.45 the final amount
t = 11 years
P = $1,963.45.
and n = 4 because the interest is compounded quarterly or 4 times in the year.
We the need to simplify the interest rate r in (1) so:
A=P(1+ r/n)^(nt) (1)
A/P = (1+ r/n)^(nt)
(A/P)^(1/nt) = (1+ r/n)
(A/P)^(1/nt) - 1 = r/n
((A/P)^(1/nt) - 1 ) * n = r
r = ((A/P)^(1/nt) - 1 ) * n
We replace values and solve doing parenthesis exponents first
r = ((2,976.45/1,963.45.)^(1/(4*11)) - 1 ) * 4
r= ((1.51^(1/44)) -1)*4
((1.51^(1/44)) -1)*4
r= (1.009499443 - 1)*4
r= 0.009499443 *4 = 0.037997773
That expressed in percentage multiplying by 100 is 3.79% or 3.8% interest
Simplify this algebrtic expression
Z-4/4+8
What is the sum of the geometric sequence −4, 24, −144, … if there are 7 terms?-159,964
−26,661
26,661
159,963
Answ
-159,964
Step-by-step explan
I got it right on the test
math question down below
How do you write 1/10 in percent