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Evgen [1.6K]
2 years ago
11

Is UVW=Xyz?if so, name the postulate that applies

Mathematics
1 answer:
aivan3 [116]2 years ago
4 0

By critically observing the two triangles, we can deduce that they: B. might not be congruent.

<h3>The properties of similar triangles.</h3>

In Geometry, two triangles are said to be similar when the ratio of their corresponding sides are equal in magnitude and their corresponding angles are congruent.

By critically observing the two triangles, we can logically deduce that the three angles of both triangles are congruent in accordance with AAA similarity postulate:

  • <U ≅ <X
  • <V ≅ <Y
  • <W ≅ <Z

However, AAA isn't a congruence postulate and as such all similar triangles might not be congruent.

Read more on congruency here: brainly.com/question/11844452

#SPJ1

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What is the equation of the line that is parallel to the given line and passes theought the point (12, -2)
Nesterboy [21]

Answer:

<u>Option </u><u>D</u> (y = 5/6x -12).

Step-by-step explanation:

Hey there!

The equation of the line which passes through the point (12,-2) is (y+2) = m2(x-12)………(i) [Using one point formula].

According to the question, the first line passes through point (12,6) and (0,-4).

So,

slope(m1) =  \frac{y2 - y1}{x2 - x1}

or \: m1 =  \frac{ - 4 - 6}{0 - 12}

or \: m1 =   \frac{5}{6}

Therefore, the slope of the line is 5/6.

Now as per the condition of parallel lines, m1 =m2 = 5/6.

So, keeping the value of m2 in equation (i), we get;

(y+2) = 5/6(x-12)

y + 2 =  \frac{5}{6} x - 10

or, y = 5/6x - 12.

Therefore, the required equation is y = 5/6 X - 12.

<u>Hope</u><u> </u><u>it </u><u>helps</u><u>!</u>

3 0
3 years ago
In APRT, PS = 12 cm, UV = 2 cm, and ST = 7 cm. What is the measure of RV?​
Bezzdna [24]

Answer:

Which real-world situation involves division with a negative number?

splitting a $22.5 million company debt evenly among 2.4 million shareholders

converting 29.21 centimeters to inches by dividing by 2.54

calculating how much a 6.3 inch plant grew each day, on average

calculating the price of one pound of bananas if 3.9 pounds costs $2.34

Step-by-step explanation:

5 0
3 years ago
A scale drawing of a pool has scale of 1 in :4 ft. If the actual pool is 16 ft wide, how is the pool represented in the drawing
Deffense [45]

Answer: 4 inches

Step-by-step explanation:

Let the width of the pool in the drawing be represented by x.

Since scale drawing of a pool has scale of 1 in :4 ft and the actual pool is 16 ft wide, this can be represented in an equation as:

1/4 = x/16

Cross multiply

4 × x = 1 × 16

4x = 16

x = 16/4

x = 4

Therefore, the pool representation in the drawing is 4 inches

8 0
3 years ago
What is equal to 6 3/5
sergij07 [2.7K]
What would be equal would be 6.60, because 100/5 is 20. So 3 times 20 is 60. Plus the six so 6+0.6 is 6.60.
4 0
3 years ago
Read 2 more answers
Which expression simplifies to 5√3?<br> OA. √30<br> OB. 45<br> OC. √75<br> OD. 15<br> Re
Vaselesa [24]

Option C

Let's see how

  • √75
  • √25×3
  • √5²×3
  • 5√3

Verified

8 0
2 years ago
Read 2 more answers
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