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solniwko [45]
3 years ago
14

ABC has been translated 5 units to the right, as shown in the diagram. What is the length of A1B1?

Mathematics
2 answers:
kolezko [41]3 years ago
7 0

Answer:

10

Step-by-step explanation:

If the triangle is translated ANY amount of units ANYWHERE, the length of each segment AND the angles will ALL be the same.

Why?

Because if you translate something, you are only moving it somewhere else. You aren't stretching the shape or making any modifications. You are simply moving it, and that will only change the coordinates the points will be at.

fgiga [73]3 years ago
7 0

Answer:

B

Step-by-step explanation:

During a Translation the lenghts of the sides don't change

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earnstyle [38]

Answer:

5

Step-by-step explanation:

3-(-2) will become positive 5. so number line will go towards positive 5.

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Consider the scatter plot.
Leno4ka [110]

<u>Answer:</u>

The correct answer option is: The y-intercept of the line of best fit shows that when time started, the distance was 5 feet.

<u>Step-by-step explanation:</u>

We are given a scatter plot with a best fit line as shown on the given graph.

The equation of the best fit line is given by:

y = 0.75x + 5

So with the help of the equation and by looking at the given graph, we can conclude about the representation of the y intercept that the the y-intercept of the line of best fit shows that when time started, the distance was 5 feet.

Since the distance shown on the y axis is already 5 when the time started at 0 minutes.

4 0
2 years ago
Bring the fraction a/a-4 to a denominator of 16-a^2
Dmitry_Shevchenko [17]

Answer:

a / (a - 4) = a(a + 4) / ((a - 4)(a + 4)) = (a^2 + 4a) / (a^2 - 16) = -(a^2 + 4a) / (16 - a^2)


3 0
3 years ago
URGENT PLEASE HELP!!!! GIVING BRAINLIEST!! If you answer this correctly ill answer some of your questions you have posted! (39pt
Musya8 [376]

Answer:

ΔMNO= 90°, <em>m </em>= 7.316 cm, <em>n</em> = 16.69 cm

Step-by-step explanation:

The little square in the corner tells you that the angle is 90°

<u><em>Calculating the length of m</em></u>

We know that the Tangent of an angle is gotten by dividing the <u>opposite</u> side by the <u>adjacent</u> side, i.e,

Tan Ф = Opposite ÷ Adjacent

hence:

Tan 26° = <em>m </em>÷ 15

0.4877 = <em>m </em>/ 15

make <em>m </em>the subject and multiply both sides by 15

0.4877 × 15 = <em>m </em>/ 15 × 15

7.3155 = <em>m</em>

∴ <em>m </em>= 7.316 cm

<u><em>Calculating the length of n</em></u>

For this we can use the Pythagoras theorem that states, a² + b² = c² where <em>m </em>= <em>a</em><em>, </em><em>b </em>=<em> </em>15 cm and <em>c</em> = <em>n</em>. Hence:

7.316² + 15² = <em>c </em>²

53.52 + 225 = <em>c ²</em>

278·52 = <em>c ²</em>

<em>c</em> = √278·52

<em>c</em> = 16.69

∴ <em>n </em>= 16.69 cm

We could also use the Cosine of ΔOMN to get length <em>n </em>i.e,

The Cosine of an angle is equal to the adjacent side divided by the hypotenuse.

Cosine Ф = Adjacent ÷ Hypotenuse

Cosine 26° = 15 cm ÷ <em>n</em>

0.8987 = 15 / <em>n</em>

Make 15 the subject and multiply both sides by <em>n</em>

0.8987 × <em>n  </em>= 15 / <em>n </em>× <em>n</em>

0.8987 <em>n </em>= 15

Divide both sides by 0.8987

0.8987 <em>n </em>÷ 0.8987 = 15 ÷ 0.8987

∴ <em>n </em>= 16.69 cm

Hope this helps!

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alina1380 [7]
I agree i believe it is 2.37 per gallon
8 0
3 years ago
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