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VladimirAG [237]
3 years ago
14

Can you prove this congruent? Using what theorem/postulate?

Mathematics
1 answer:
slavikrds [6]3 years ago
3 0
I'd say that, if the angles S and U are equal, as the SV and UV segments move towards each other, they meet at vertex V, the angles they make, angle SVT and UVT, have to be equal, because the side TV is shared by both, and has the same direction.

now, side TV is on both triangles, and is shared by both, so is the same length, so TV on one triangle is equal to TV on the other

check the picture below

so, you have one Angle, another Angle, and then a Side
                          A                    A                          S

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Enter the range of values for x using the picture shown
yarga [219]

We are asked to find a range for x. Let's start by finding the maximum value. We know, by definition, that a side opposite a larger angle has a longer length. For example, if you think about a right triangle, the hypotenuse (the longest side) is always opposite of the right angle (the largest angle). We are given two side lengths: 23 is opposite of 42 degrees, and 21 is opposite of 3x + 15. Because 42 is opposite the longer side, 42 degrees is a larger angle than 3x + 15. We can set up the inequality and solve for x:

\begin{gathered} 3x+15

Now, let's look at the minimum value. We know that the angle definitely has to be larger than 0. So, we can set up that inequality and solve for x:

\begin{gathered} 3x+15>0 \\ 3x>-15 \\ x>-5 \end{gathered}

Now, we have our final range: -5 < x < 9

8 0
1 year ago
The product of six and a number is 66 find the number
Allushta [10]

Answer:

11

Step-by-step explanation:

If you add 11 6 times, you will get 66 or if you multiply 11 times 66 you will get 66.

3 0
3 years ago
Write ordered pairs of integers that satisfy the criteria in each part below. Remember that the origin is the point whose coordi
enot [183]

Answer:

a. These points’ vertical distance from the origin is twice their horizontal distance.

both coordinates positive A(2,4)

both coordinates negative B (-2,-4)

opposite signs case 1:  C (2,-4)

opposite signs case 2: D (-2,4)

b. These points’ horizontal distance from the origin is two units more than the vertical distance

both coordinates positive A(4,2)

both coordinates negative B (-4,-2)

opposite signs case 1:  C (4,-2)

opposite signs case 2: D (-4,2)

c. These points’ horizontal and vertical distances from the origin are equal, but only one coordinate is positive.

Case 1 x coordinate negative

A (-5,5)

Case 2 y coordinate negative

B (3,-3)

Step-by-step explanation:

5 0
3 years ago
e. Translate the word problem below into an equation; then solve. It only takes Vera 2 hours to sew 1 dress, but it takes Ivy 4
Daniel [21]

Using the together rate, it is found that it would take them 16 hours to sew 12 dresses.

<h3>What is the together rate?</h3>

The together rate is the <u>sum of each separate rate</u>.

In this problem, we have that:

  • Vera's rate is of 1/2.
  • Ivy's rate is of 1/4.

Hence, the together rate is the time it would take them to produce one dress working together, and is given by:

\frac{1}{x} = \frac{1}{2} + \frac{1}{4}

\frac{1}{x} = \frac{2 + 1}{4}

3x = 4

x = \frac{4}{3}

Then one dress takes \frac{4}{3} of an hour, and the time for twelve dresses is:

t = 12 \times \frac{4}{3} = 4(4) = 16

It would take them 16 hours to sew 12 dresses.

To learn more about the together rate, you can take a look at brainly.com/question/25159431

6 0
2 years ago
Find the value of the following without any exponents.
soldier1979 [14.2K]

Answer:

A.) 1/49

B.) 1/512

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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