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3 years ago

Drag a vertex of the triangle to change its shape.

Mathematics

1 answer:

likoan [24]3 years ago

8 0

Answer:

The correct option is;

45°

Step-by-step explanation:

By angle sum theorem, we have that the sum of angles in a triangle = 180°

Therefore, we have;

When the interior angles of the triangle are constructed to be 60° and 75°, we have by the angle sum theorem;

The third angle + 60° + 75° = 180°

Which gives;

The third angle = 180°- 60° - 75° = 180°- 135° = 45°

The measurement of the third angle by the angle sum theorem will be 45°

The correct option is ∠third angle = 45°.

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Let's talk about Frankie's work. Does it make sense? Is 3/5 equivalent to 6/10 ? Why or why not? Find at least two other fractio

Charra [1.4K]

Answer:

Yes they are equal

Step-by-step explanation:

3/5 is just a simplified version of 6/10

3 x 2 is 6

5 x 2 is 10

6/10

2 more fractions that are equivalent to 3/5 are

9/15

and

12/20

3 0

3 years ago

Mrs. Jackson put a total of $10,000 into two accounts one account earns 6% simple annual interest the other account earns 6.5% s

kozerog [31]

Answer:

The money invested in account at 6 % rate is $ 9230.77

The money invested in account at 6.5 % rate is $ 769.23

Step-by-step explanation:

Given as :

The total amount saves in two account = $ 10,000

The two rate of interest are 6 % and 6.5 % at simple interest

The interest earn at 6 % rate = $ 632

The interest earn at 6.5 % ate = $ 50

Now, Let The amount deposit at 6 % rate = $ x

And The amount deposit at 6.5 % rate = $ 10,000 - $ x

<u>From Simple Interest method</u>

Simple Interest = $\dfrac{\textrm principal \times \textrm Rate\times \textrm time}{100}$

or, At 6.5 % rate

$ 50 = $\dfrac{\textrm (10,000 - x ) \times \textrm 6.5\times \textrm 1}{100}$

or, 10000 - x = $\frac{5000}{6.5}$

Or, 10000 - x = 769.23

∴ x = 10000 - 769.23

I.e x = $ 9230.77

So , At 6.5 % the amount deposit = 10,000 - 9230.77 = $ 769.23

So, At 6 % The amount deposit = $ 9230.77

Hence The money invested in account at 6 % rate is $ 9230.77

And The money invested in account at 6.5 % rate is $ 769.23 Answer

7 0

4 years ago

What is the value of x

Andru [333]

The answer to your question is 54 because you have to bring over 2 to 3 and it would be 1x then bring over 52 and add it to 2 = 54

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3 years ago

M is the centroid (center of gravity) of △ABC, line k goes thru M and intersects AB and AC . The distances of the vertices B and

lana [24]

Answer:

Step-by-step explanation:

The midpoint of BC will be a distance from line k that is the average of the distances of B and C: (17+13)/2 = 15. Call that midpoint P. We know distance MP is half of distance MA. This same relationship will hold with respect to the distances from P and A to any line through M. That is, the distance from line k (through M) is twice the distance from P to line k: 30 units.

5 0

3 years ago

What is the value of d to the nearest tenth?

Ghella [55]

Answer: $d=13.8$