has vertices J(3, –1), K(4, –4), and L(1, –3). Determine if is an equilateral, isosceles, or scalene triangle. A. equilateral B. isosceles C. scalene D. none of these
Answers
The solution is, the triangle is an isosceles triangle.
What is Triangle?
A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.
Here, we have,
To solve this problem we simply need to find the lengths of each side of the triangle.
To do this, we use the distance formula: √(x1-x2)^2+(y1-y2)^2.
Using points J and K, we find that the length of JK is
√(3-4)^2+(-1-(-4))^2
=√(-1)^2+(3)^2
=√1+9
=√10.
Then we do the same for JL and KL.
JL is √(3-1)^2+(-1-(-3))^2
=√(2)^2+(2)^2
=√4+4
=√8.
KL is √(4-1)^2+(-4-(-3)^2)
=√(3)^2+(-1)^2
=√9+1
=√10.
Now we have all three sides of the triangle: √10, √8, and √10.
Check for any similarities: you have two sides of √10.
Because there are two sides of the triangle of the same length, the triangle is an isosceles triangle.
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Increase 44 by 10%.
Lowell has a credit card that uses the adjusted balance method. For the first10 days of one of his 30-day billing cycles, his balance was $1360. He thenmade a purchase for $470, so his balance jumped to $1830, and it remainedthat amount for the next 10 days. Lowell then made a payment of $740, sohis balance for the last 10 days of the billing cycle was $1090. If his creditcard's APR is 28%, which of these expressions could be used to calculate theamount Lowell was charged in interest for the billing cycle?
There are 5 red balls,6 white balls and 7 green balls in a box.If one ball is taken without looking,what is the probability that it is white?
Find the slope of the line on the graph
Answers
Answer:
80ft
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Answers
y - y1 = m(x - x1)
m is the slope, x1, y1 are the point coordinates, so lets substitute:
y - 4 = (1/2)(x - 2)
y = (1/2)x + 3
Answers
Answer: 16
2^4
2*2*2*2
--> 16
Answer:
22
Steps:
2*(4+9)-5+1
= 2*(13)-5+1
= 2*13-5+1
= 26-5+1
= 21+1
= 22
Answers
Answer:
A is the answer
Step-by-step explanation:
Answer:
the answer is A.
Step-by-step explanation:
61°
77°
221°
Answers
Two angle measures in a scalene triangle are 77° and 62°. The measure of the third angle is 41°.
How does an angle form?
An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints.
The angle is the degree of rotation that it will take for the moving side to go from the initial side to the position it is currently on.
The total measure of the inner angles of a shape;
(n-2) x 180°
where n is the number of sides.
180° is the total measure of the inner angles.
To put that as an equation;
180° = 77° + 62° + x°
x = 41°
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(n-2)*180° where n is the number of sides.
(3-2)180°
1*180°
180° is the total measure of the inner angles.
To put that as an equation;
180° = 77° + 62° + x°
x = 41°
B) f(x) = abx - 4
C) f(x) = a(b-1)x
D) f(x) = a( 1 b )x
Answers
Answer: The answer is (D)
Step-by-step explanation: We are given four exponential functions, out of which we are to select the one that represents exponential decay.
Given that the following function is an exponential growth function.
We take the values of a and b as 2 and 3 respectively so that the given function represents exponential growth.
We have drawn the graphs of all the four exponential functions taking these values of 'a' and 'b' in the attached figure.
We will see the the graph of the fourth function will show an exponential decay.
and the rest three will show exponential growth.
Thus, (D) is the correct option.