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morpeh [17]
3 years ago
12

Which triangles are congruent?plz help!!!!.

Mathematics
2 answers:
Diano4ka-milaya [45]3 years ago
6 0
The right answer is triangles ABC and MNO. Congruent triangles are triangles that have the same lengths of its three sides. To get the length of each side, use the distance formula with equation:
d =  \sqrt{( x_{2} -  x_{1}) ^{2}  +( y_{2} - y_{1} )^2 }

ABC and MNO have the same segment lengths of its correspoding sides:
AB = MN = 8 units
BC = NO = 6 units
AC = MO = 10 units
lora16 [44]3 years ago
3 0

Answer:

Option C. is correct

Step-by-step explanation:

In the triangle ABC, vertices are A(12, 8), B(4, 8) and C(4, 14)

AB = \sqrt{(12-4)^{2}+(8-8)x^{2}}=8

BC = \sqrt{(4-4)^{2}+(8-14)^{2}}=6

AC = \sqrt{(12-4)^{2}+(8-14)^{2})}=10

In triangle XYZ vertices are X(6,6), Y(4,12) and Z(10, 14)

XY = \sqrt{(6-4)^{2}+(6-12)^{2}}=2\sqrt{10}

YZ = \sqrt{(4-10)^{2}+(12-14)^{2}}=2\sqrt{10}

XZ = \sqrt{(10-6)^{2}+(14-6)^{2}}=4\sqrt{5}

In triangle MNO, vertices are M(4, 16), N(4, 8) and O(-2, 8)

MN = \sqrt{(4-4)^{2}+(16-8)^{2}}=8

MO = \sqrt{(4+2)^{2}+(16-8)^{2}}=10

NO = \sqrt{(4+2)^{2}+(8-8)^{2}}=6

In triangle JKL, vertices are J(14, -2), K(12,2) and L(20, 4)

JK = \sqrt{(14-12)^{2}+(-2-2)^{2}}=2\sqrt{5}

KL = \sqrt{(20-12)^{2}+(4-2)^{2}}=2\sqrt{17}

JL = \sqrt{(20-14)^{2}+(4+2)^{2}}=6\sqrt{2}

Now we compare the sides for the congruence

Since AB = MN = 8

BC = NO = 6

AC = OM = 10

So ΔABC ≅ Δ MNO

Option C. is correct

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The question is in the picture
Hoochie [10]
Since you’re dealing with a linear equation in slope-intercept form, we know the equation is going to be in the form of y=mx+b.

Therefore, we need to find the slope (“m”) of the line (change in y/change in x), which is rise/run. We also need to find the y-intercept (“b.”)

1.) (0, -3) (1, -1)
We took two points from the line to find the slope. We will use the 2 coordinate pairs to find the slope.

2.) m=(y2-y1)/(x2-x1)
This is the slope “m” formula.

3.) m=( -1+3)/(1-0)
Input the coordinate values into the formula. The +3 you see is due to -(-3)=+3.

4.) m=2/1
We simplified the above formula.

5.) m=2
By division.

We now have the slope or “m.” M=2. Therefore, the equation rises 2 units and runs 1 unit.

Now, finding the y-intercept:

The y-intercept or “b” is where the line intersects the y-axis. It is the starting point of a linear equation.

To find the y-intercept, we need to figure out what the output is when the input is 0. We can see on the table in the picture that with an input of 0, the output is -3.

Therefore, b=-3. This is because an input of 0 means that there is no movement on the x-axis, so we can determine where the where the linear intercepts the y-axis.

Therefore, the equation is y=2x-3, where m=2 and b=-3.

That’s the answer: y=2x-3
4 0
2 years ago
Need this asap please
Brums [2.3K]

Answer:

temperature ≤ 6

Step-by-step explanation:

The highest temperature in February was 6°F. Write and graph an inequality to represent this situtation.

If the maximum temperature was 6, then the temperature reached no more than six, while still reaching 6.  Thus, the inequality should be

temperature ≤ 6

The graph would be a filled dot on the 6 pointing towards the left side of the graph (towards the -10 side)

8 0
3 years ago
Help plz i will make u a brainllest 24.Can you use the SSS Postulate or the SAS Postulate to prove abd=dca? 26 28
Alex_Xolod [135]

Answer:  24) C. SSS only

               26) D. DH = HF

<u>Step-by-step explanation:</u>

24.

<u>Statement</u>                    <u>Reason</u>

1. BD = CA                    1. Given

2. AB = CD                  2. Given

3. AD = AD                  3. Reflexive Property

4. ΔABD = ΔDCA        4. SSS Congruency Theorem

<em>We have no information about the angles so cannot use SAS Theorem.</em>

26.  G H F

      E H D

Line up the letters to find the congruent sides:

⇒  GH = EH

    HF = HD

     GF = ED

7 0
3 years ago
Help with this algebra question
Degger [83]
We have:
 3x + 4y = 12
 The first thing we should do in this case is clear and.
 We have then:
 4y = -3x + 12
 y = (- 3x + 12) / (4)
 Rewriting:
 y = (- 3/4) x + 3
 We evaluate now for x = 4
 y = (- 3/4) (4) + 3
 y = -3 + 3
 y = 0
 The ordered pair is:
 (x, y) = (4, 0)
 Answer:
 
y = (- 3/4) x + 3
 
(x, y) = (4, 0)
6 0
3 years ago
Read 2 more answers
1. Suppose that cos B = 0.68. What is the value of sin(a)? Explain.
Papessa [141]

The value of Sin(a) suppose that Cos B = 0.68 in which case, a + B = 90° is; 0.68.

<h3>Trigonometry</h3>

First, when we have two angles, whose sum equals, 90°.

In essence, Since the algebraic sum of angles A and B is 90°;

  • A + B = 90.

  • B = 90 -A.

By trigonometric identity;

  • Sin A = Cos (90 - A)

Where; (90 - A) = B.

Therefore; Sin A = Cos B = 0.68.

Read more on trigonometry;

brainly.com/question/20519838

5 0
2 years ago
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