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4 years ago

Triangles ABC and DEF are similar non similar

Mathematics

2 answers:

Fantom [35]4 years ago

6 0

Here, the triangles are similar by ASA congruency. Two angles & given side is equal.

Relation: ΔABC = 3ΔDEF

In short,Your Answer would be "Similar"

Hope this helps!

suter [353]4 years ago

5 0

Those two triangles are similar because they both have the same degree's and angles

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Through (2,-2) parallel to y= -1/2x+5

Rzqust [24]

The equation of line passing through (2, -2) and parallel to $y = \frac{-1}{2}x+5$ is $y = \frac{-x}{2}-1$

<em><u>Solution:</u></em>

We have to find the equation of line passing through (2, -2) and parallel to $y = \frac{-1}{2}x+5$

<em><u>The equation of line in slope intercept form is given as:</u></em>

y = mx + c ------- eqn 1

Where "m" is the slope of line and "c" is the y-intercept

On comparing the given equation of line $y = \frac{-1}{2}x+5$ with eqn 1,

$m = \frac{-1}{2}$

We know that slope of a line and slope of line parallel to it is always equal

Therefore, slope of line parallel to given line is also $m = \frac{-1}{2}$

Substitute (x, y) = (2, -2) and $m = \frac{-1}{2}$ in eqn 1

$-2=\frac{-1}{2}(2)+c\\\\-2 = -1+c\\\\c = -2+1\\\\c = -1$

Substitute c = -1 and $m = \frac{-1}{2}$ in eqn 1

$y = \frac{-1}{2}x -1\\\\y = \frac{-x}{2}-1$

Thus equation of line parallel to given line is found

8 0

3 years ago

Tim goes on a car journey.

Lesechka [4]

Answer:

1. Attached

2. 25 mph

Step-by-step explanation:

1. Tim travels first 15 minutes $=\frac{1}{4}$ hour at average speed of 40 mph and passed

$40\times \dfrac{1}{4}=10\ miles$

2. Time stops for 25 minutes (distance traveled = 0 miles).

3. He then completes the journey at an average speed of 45 mph. The total journey time is 1 hour, then he was travelling at 45 mph for

$60-15-25=20\ minutes=\dfrac{1}{3}\ hour$

and covered

$45\times \dfrac{1}{3}=15\ miles.$

The distance-time graph for his journey is attached.

Find the average speed for the whole journey:

$\text{Average speed}=\dfrac{\text{Total distance}}{\text{Total time}}=\dfrac{10+15}{1}=25\ mph$

7 0

4 years ago

In Alaska, Scientists are studying the melting of glaciers. They found that in the past 10 years, the glaciers receded about 59.

notka56 [123]

Answer:

5.905 feet

Step-by-step explanation:

59.05 divided by 10 = 5.905 (just move the decimal one place left for when dividing with 10)

7 0

3 years ago

A car travels at a speed of 41 meters/second using 756 joules of energy every second. Suppose we know that the car uses 52,700 j

Nezavi [6.7K]

Answer: 2858.11 meters

Step-by-step explanation:

to answer this question we have to analyze the information given:

Total energy =52,700 joules

Energy per second = 756 joules

Time = joules / (joules / sec) =52,700/756 =69.71 sec

Now, to find the distance:

Distance = speed rate x time

d = 41 meters/second x 69.71 sec = 2858.11 meters

Feel free to ask for more if needed or if you did not understand something.

8 0

3 years ago

Read 2 more answers

Please im begging you guys please please do it for me please

Tasya [4]

When Jamie has $200 to purchase skateboard equipment, he will have spent more than 50 percent.

<h3>How to calculate the percentage?</h3>

From the information given, the total amount spent will be:

= $100 + $60 + $30 + $20 + $20 + $50 + $115

= $395

Since Jamie has $200 to purchase skateboard equipment, the percentage will be:

= 200/395

= 0.51

= 51%

Learn more about percentages on:

brainly.com/question/24304697

#SPJ1

6 0

2 years ago