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LuckyWell [14K]
4 years ago
9

The triangles are simliar by the: show work please for brainlist

Mathematics
1 answer:
Liono4ka [1.6K]4 years ago
6 0

Step-by-step explanation:

BOTH TRIANGLES ARE SIMILAR BY THE AA SIMILARITY POSTULATE.

In first triangle:

Remaining angle = 180° - (70° + 30°)= 80°

In second triangle:

Remaining angle = 180° - (80° + 30°)= 70°

Hence, all the angles of first triangle are congruent to the corresponding angles of the second triangle.

Thus, both the triangles are similar by

THE AA SIMILARITY POSTULATE

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A costumer at a raceway can drive 54 laps around the track for 12$. At this rate, how many laps can the customer rive for 8$?
raketka [301]

Answer:

36 laps can the customer rive for $8 .

Step-by-step explanation:

As given

A costumer at a raceway can drive 54 laps around the track for $12.

I.e

54 laps cost = $12

Now calculate laps for $1.

\$1 = \frac{54}{12}\ laps

\$1 = 4.5\ laps

The number of laps customer rive $8 = 4.5 × 8

                                                              = 36 laps

Therefore 36 laps can the customer rive for $8 .

3 0
3 years ago
Read 2 more answers
Reason Abstractly Explain why a
Nimfa-mama [501]

Answer:

Step-by-step explanation:

Givens

<em>Student A</em>

d = 3/4 mile

t =  6 minutes

<em>Student B</em>

d = 1/2 mile

t = 5 minutes

Note

In both cases, the units are the same, so unit conversion is not necessary.

Solution

<em>Student A</em>

r = d / t

r is the rate of travel in miles / minute

r = 3/4 / 6

r = 3.4 // 6/1          The 1 is put below the 6 so it is easier to divide. Invert the bottom and multiply.

r = 3/4 * 1/6

r = 3/24

r = 1/8 miles / minute

<em>Student B</em>

r = d / t

r = 1/2 // 5 / 1         Turn the bottom fraction upside down and multiply

r = 1/2 * 1/5

r = 1/10

Question

which is bigger: 1/8 or 1/10?

1/8 = 0.125

1/10 = 0.1

1/8 is bigger by 0.025

Answer

Student A is faster by 0.025 miles / minute.

7 0
2 years ago
Read 2 more answers
Jacie can swim 3/4 of a mile in 3/8 of an hour.how far can she swim in one hour?
Lyrx [107]

Answer:

2 miles

Step-by-step explanation:

We can use ratios to solve this problem


3/4 miles         x miles

--------------- = ---------------

3/8 hours          1 hours

Using cross products

3/4 * 1 = 3/8 * x

Multiply by 8/3 to isolate x

3/4 * 8/3 = 3/8*8/3 *x

8/4 = x

2 =x

5 0
3 years ago
PLSSSS HELPPP ME ASAAPPP PLSS ANSWER BOTH QUESTIONS!!!!!!!!!!<br>I WILL GIVE BRAINLIEST!!!!
OLEGan [10]
How do you need help ?
3 0
3 years ago
Which of these triangle pairs can be mapped to each other using two reflections?
UkoKoshka [18]

Answer: The correct option is figure (1).

Explanation:

Reason for correct option:

The figure (1) shows the reflection across the side XY followed by reflection across the side YT.

When we reflect the triangle XYZ across the side XY we get the triangle XYT as shown in below figure.

After that we reflect the triangle XYT across the side YT and we get the triangle PYT.

Therefore, only figure 1 shows the triangle pairs can be mapped to each other using two reflections.

Reason for incorrect options:

The figure (2) shows the rotation of 180 degree along the point y.

The figure (3) shows the reflection across the side XY followed by the translation.

The figure (4) shows the reflection, followed by rotation , followed by translation.

8 0
3 years ago
Read 2 more answers
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