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natulia [17]
3 years ago
12

Type the correct answer in each box. Spell all the words correctly, and use numerals instead of words for numbers. If necessary,

use / for the fraction bar(s). We can show that ∆ABC is congruent to ∆A′B′C′ by a translation of unit(s) and a across the -axis. Reset Next
Mathematics
1 answer:
Morgarella [4.7K]3 years ago
7 0

Answer:

We can show that ∆ABC is congruent to ∆A′B′C′ by a translation of (x-2, y) unit(s) and a across the x-axis.

Step-by-step explanation:

The triangle ABC is shown in the image attached. The coordinates of the triangle are A(8, 8), B(10, 4), C(2, 6), while the triangle A'B'C' is at A'(6, -8), B'(8, -4), C'(0, -6).

A transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, dilation and rotation.

If a point O(x, y) is translated a units on the x axis and b units on the y axis, the new coordinate is O'(x+a, y+b).

If a point O(x, y) is reflected across the x axis, the new coordinate is O'(x, -y)

Hence if triangle ABC is translated -2 units on the x axis (2 units left), the new coordinates are A*(6, 8), B*(8, 4), C*(0, 6). If a reflection across the x axis is then done, the new coordinates are A'(6, -8), B'(8, -4), C'(0, -6).

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Amy runs 5 miles in 38 minutes how many miles would she run in 57 minutes?
Len [333]
Amy runs 1 mile in 7.6 minutes so in 57 minutes she will have run 7.5 miles
5 0
3 years ago
Write an inequality for the given statement:the sum of x and 25 is less than 75
tiny-mole [99]

Answer:

x + 25 < 75; x < 50

Step-by-step explanation:

The inequality says the sum of x and 25 (written as x + 25) is less than (<) 75.

The inequality is written as: x + 25 < 75

My work for solving the inequality is in the picture.

4 0
2 years ago
How many 4-letter passords can be made using the letters A thought Z if...
Kazeer [188]

Answer:

26^4 if repetition is allowed, 26 \times25\times24\times23 if repetition is not allowed.

Step-by-step explanation:

For the first case, we have a choice of 26 letters <em>each step of the way. </em>For each of the 26 letters we can pick for the first slot, we can pick 26 for the second, and for each of <em>those</em> 26, we can pick between 26 again for our third slot, and well, you get the idea. Each step, we're multiplying the number of possible passwords by 26, so for a four-letter password, that comes out to 26 × 26 × 26 × 26 = 26^4 possible passwords.

If repetition is <em>not </em>allowed, we're slowly going to deplete our supply of letters. We still get 26 to choose from for the first letter, but once we've picked it, we only have 25 for the second. Once we pick the second, we only have 24 for the third, and so on for the fourth. This gives us instead a pretty generous choice of 26 × 25 × 24 × 23 passwords.

8 0
2 years ago
A steel rod weighing 25 lb 11 oz is cut into three equal pieces. Find the weight of each piece of steel rod. Final answer must b
aleksandrvk [35]

Answer:

200 AND 50

Step-by-step explanation:

7 0
2 years ago
Selina didn't use the distributive property correctly. Where did she go wrong? Explain your thinking.​
GarryVolchara [31]

Answer:

PEMDAS

Step-by-step explanation:

Well, I don't know if there should be a picture of the problem that should go with the question. But a trick for solving distributive property is to use the trick PEMDAS In order.

For Example:

P-Paraenthese

E-Exponent

M-Multiply

D-Divide

A-Add

S-Subtract

NOTE!

Remember to always Multiply and divide BEFORE adding and subtracting.

Hoped this helped!

6 0
3 years ago
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