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Nezavi [6.7K]
2 years ago
5

Triangles A B C and T P Q are shown. Sides A C and T Q are congruent. Angles B C A and P Q T are congruent. Which statements are

true about additional information for proving that the triangles are congruent? Select two options. If AngleA ≅ AngleT, then the triangles would be congruent by ASA. If AngleB ≅ AngleP, then the triangles would be congruent by AAS. If all the angles are acute, then the triangles would be congruent. If AngleC and AngleQ are right angles, then triangles would be congruent. If BC ≅ PQ, then the triangles would be congruent by ASA.
Mathematics
2 answers:
Pani-rosa [81]2 years ago
8 0

Answer:

If Angle A ≅ Angle T, then the triangles would be congruent by ASA

If Angle B ≅ Angle P, then the triangles would be congruent by AAS.

Step-by-step explanation:

It's already given that side AC and side TQ are congruent, and angle BCA and angle PQT are congruent too. So if angle A and angle T were congruent, this would be the ASA Theorem. And if angle B were to be congruent to angle P, this would be the AAS Theorem.

Since you only need to pick 2 answer choices, you can stop there.

kotykmax [81]2 years ago
5 0

Answer:

a.b

Step-by-step explanation:

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Decimal 0.003 is 1/10 of
Grace [21]
Just multiply the 0.003 by 10 and you'll get the result. The easiest way to multiply such numbers is to move the dot one position to the right (it would be 2 positions if multiplied by 100, 3 by 1000 etc.). You can do the same with dividing, just remember to move to the left then.

So 0.03 is your answer

<span>Hope I Helped!!!</span>
6 0
2 years ago
Adrian ran from his house to the park at a speed of 5 meters per second. He ran back from the park to his house at a speed of 6
denpristay [2]

Answer:time taken to run from his house to the park is 12 minutes

Step-by-step explanation:

Let x represent the distance between his house and the park.

The speed at which Adrian ran from his house to the park is 5 meters per second.

Distance = speed × time

Time = distance/speed

Therefore, time taken to run from his house to the park would be

Time = x/5

The speed at which he ran back from the park to his house is 6 meters per second.

Time taken to run back from the park to his house would be

Time = x/6

The total time taken to run the whole journey was 22 minutes. Converting to seconds, it becomes 22× 60 = 1320 seconds. Therefore,

x/5 + x/6 = 1320

Multiplying through by 30, it becomes

6x + 5x = 39600

11x = 39600

x = 39600/11 = 3600 meters

Therefore, time taken to run from his house to the park would be

x/5 = 3600/5 = 720 seconds

Converting to minutes, it becomes

720/60 = 12 minutes

7 0
2 years ago
Points H and F lie on circle c What is the length of line segment GH?
Nina [5.8K]

Answer:

6 units

Step-by-step explanation:

Given: Points H and F lie on  circle with center C. EG = 12, EC = 9 and ∠GEC = 90°.

To find: Length of GH.

Sol: EC = CH = 9 (Radius of the same circle are equal)

Now, GC = GH + CH

GC = GH + 9

Now In ΔEGC, using pythagoras theorem,

(Hypotenuse)^{2} = (Base)^{2} +(Altitude)^{2} ......(ΔEGC is a right triangle)

(GC)^{2} = (GE)^{2} +(EC)^{2}

(GH + 9)^{2} = (9)^{2} +(12)^{2}

(GH )^{2} + (9)^{2} + 18GH = 81 + 144

(GH )^{2} + 81 + 18GH = 81 + 144

(GH )^{2} + 18GH = 144

Now, Let GH = <em>x</em>

x^{2} +18x = 144

On rearranging,

x^{2} +18 x - 144 = 0

x^{2} - 6x +24x + 144 = 0

x (x-6) + 24 (x - 6) =0

(x - 6) (x + 24) = 0

So x = 6  and x = - 24

∵ x cannot be - 24 as it will not satisfy the property of right triangle.

Therefore, the length of line segment GH = 6 units. so, Option (D) is the correct answer.

3 0
2 years ago
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Ethan rolls a 6-sided number cube. What is the probability that he gets a number greater than 2?
Vikki [24]
D.
This is because the probability of getting a number greater than 2 is 4/6.
Therefore, simplifying the expression gives us the fraction 2/3.
6 0
2 years ago
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Over the last 50 years, the average temperature has increased by 2.5 degrees worldwide (I made this up). What is the rate of cha
Dovator [93]
50 years ... 2.5 degrees
1 year ... x degrees = ?

If you would like to know what is the rate of change in worldwide temperatures per year, you can calculate this using the following steps:

50 * x = 2.5 * 1
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x = 2.5 / 50
x = 0.05 degrees per year

Result: The rate of change is 0.05 degrees per year.
6 0
2 years ago
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