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2 years ago

Can yall please help lol

Mathematics

2 answers:

const2013 [10]2 years ago

4 0

Answer:

1.) Triangle ABC is congruent to Triangle CDA because of the SAS theorem

2.) Triangle JHG is congruent to Triangle LKH because of the SSS theorem

Step-by-step explanation:

Alright. Let's start with the 1st figure. How do we prove that triangles ABC and CDA (they are named properly) are congruent? First, we can see that segments BC and AD have congruent markings, so that can help us. We also see a parallel marking for those segments as well, meaning that the diagonal AC is also a transversal for those parallel segments. That means we can say that angle CAD is congruent to angle ACB because of the alternate interior angles theorem. Then, the 2 triangles also share the side AC (reflexive property).

So, we have 2 congruent sides and 1 congruent angle for each triangle. And in the way they are listed, this makes the triangles congruent by the SAS theorem since the angle is adjacent to the 2 sides that are congruent.

The second figure is way easier. As you can clearly see by the congruent markings on the diagram, all the sides on one triangle are congruent to the other. So, since there are 3 sides congruent, we can say the triangles JHG and LKH are congruent by the SSS theorem.

svetoff [14.1K]2 years ago

3 0

Step-by-step explanation:

a)ASA .

if any 2 angles and a side of a triangle are equal to the corresponding the angles and side of the other triangle , then the two triangles are congruent.

BC : AD .

b) SSS

IF the 3 sides of a triangle are equal to the 3 corresponding sides of the other triangle ,then the two triangles are congruent.

JG:HL

JH :LK

HG:HK

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slava [35]

Answer:

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Step-by-step explanation:

Equation 1

3x-x=-24-6

2x=-32

x=-32/2

x=-16

Equation 2

-2m=16-10

-2m=6

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2 years ago

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lianna [129]

I've attached the complete question.

Answer:

Only participant 1 is not cheating while the rest are cheating.

Because only participant 1 has a z-score that falls within the 95% confidence interval.

Step-by-step explanation:

We are given;

Mean; μ = 3.3

Standard deviation; s = 1

Participant 1: X = 4

Participant 2: X = 6

Participant 3: X = 7

Participant 4: X = 0

Z - score for participant 1:

z = (x - μ)/s

z = (4 - 3.3)/1

z = 0.7

Z-score for participant 2;

z = (6 - 3.3)/1

z = 2.7

Z-score for participant 3;

z = (7 - 3.3)/1

z = 3.7

Z-score for participant 4;

z = (0 - 3.3)/1

z = -3.3

Now from tables, the z-score value for confidence interval of 95% is between -1.96 and 1.96

Now, from all the participants z-score only participant 1 has a z-score that falls within the 95% confidence interval.

Thus, only participant 1 is not cheating while the rest are cheating.

8 0

3 years ago

A passenger train and a freight train leave San Jose at 3PM, traveling in the same direction. The passenger train is going three

Liono4ka [1.6K]

Let's say that the speed of the freight train is $x$ and the one of the passenger train is $3x$ .

$x$ MPH means every hour the freight train covers $x$ miles., which means in 3h it will have covered 3 times as much: $3x$ mi.

Following the same logic, $3x$ MPH means every hour the passenger train covers $3x$ miles, meaning after 3h it will have covered 3 times as much as well: $9x$ mi.

Now, having expressed those distances and speeds algebraically, we find the difference between the two distances covered after 3h, knowing it will be equal to 240:

$9x-3x=6x\\6x=240\\x=240/6\\x=40$

Knowing this, we can surely affirm that the freight train is travelling at 40MPH and the passenger train is travelling three times as fast, 120MPH.

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3 years ago

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Svetach [21]

Answer:

If 8 Treasure Chests per 4 Hours so

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4 0

2 years ago

I need help with this math problem! Thanks!<br><br> -8 = -( x +4)

Damm [24]

Answer:

x = 4

Step-by-step explanation:

If the lonely negative sign infront of the brackets is confusing, it can be rewritten as -1.

To solve, simplify by expanding then isolate x.

-8 = -( x +4)

-8 = -1 ( x +4) Distribute over brackets by changing the each term's sign

-8 = -x - 4 Start isolating x by moving everything to the other side

-8 +4 = -x -4 + 4 Add 4 to both sides so it cancels out on the right

-4 = -x

-4 = -1x <= -x is the same at -1x

-4/-1 = -x/-1 <=divide both sides by negative 1

4 = x

x = 4 <= usually we write the variable on the left side

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2 years ago