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stiks02 [169]
2 years ago
14

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
nexus9112 [7]2 years ago
4 0
5432 that is the answer
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Please help me. its attached
liq [111]

Answer

5. ΔABC ≅ ΔDEF is true.

6. ΔABC ≅ ΔGHI is not true.


Step by step explanation

5. Find the lengths of the triangle ABC.

BC = 3

Use the distance formula to find the length of AB and AC

Distance formula = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}

Coordinates of A = (1, 4) and B = (2, 2).

Now plug in these values in to the distance formula.

AB = \sqrt{(2 -1)^2 + (2 - 4)^2} \\

AB = \sqrt{(1)^1 + (-2)^2}

AB = √1 + 4

AB = √5

Now let's find the length of AC.

A = (1, 4), C = (5, 2)

Use the distance formula and the length of AC.

AC = \sqrt{(5 - 1)^2 +(2 - 4)^2}

AC = \sqrt{(4)^2 + (-2)^2}

AC = √(16 + 4)

AC = √20

Now let's find the length of GI

G = (6, 6) and I = (8, 1)

Use the distance formula.

GI = √(2)^2 + (-5)^2

GI = √(4 + 25)

GI = √29.

The length of EF = 3, DE = √5, EF = √20

Now let's compare the two triangles ABC and DEF.

The sides of the triangle ABC is equal to the sides of the triangle DEF

By SSS property,  ΔABC ≅ ΔDEF.


6) The side length of GI = √29 which is not equal to the side length of AC = √20.

Therefore, the ΔABC ≅ ΔGHI is not true.

Hope this will help you.

Thank you.


5 0
3 years ago
How do you find the slope of a line on a graph?
harina [27]

Find two points on the graph.
example: (1,2) and (3,4)
Using the equation,\frac{y2-y1}{x2-x1} ,will give you the answer.
so for the example, if you plug in the numbers, you get (mobile) 1/3 \frac{1}{3}


5 0
3 years ago
Using integers what is this answer 7-(-5)
ICE Princess25 [194]
7-(-7)=7+7=14. So the answer is 14
5 0
3 years ago
What is the limit of [(x+2) /(x+1)] ^x as x approaches to infinity?
Lesechka [4]

first thing we need to do is factorise because we can't calculate infinity/infinity

and we are left with 1^infinity this is an euler function

an euler function looks like this

6 0
2 years ago
What is the solution to this system of linear equations?
OLEGan [10]

Answer: To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect. The two lines intersect in (-3, -4) which is the solution to this system of equations.

Step-by-step explanation: hope this helps

3 0
3 years ago
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