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GaryK [48]
3 years ago
14

A right triangle has exterior angles at each of its acute angles with measures in te ratio 13:14. find the measures o the two ac

ute angles of the right triangle.
Mathematics
1 answer:
drek231 [11]3 years ago
5 0
The sum of the exterior angles of all polygon is always equal to 360°. The exterior angle sharing the same side with that of the right angle of the triangle is equal to 90°. If the other exterior angles are 13x and 14x then, they add up to 270°. 

The equation that would allow us to determine the values of the angles are,
                          13x + 14x = 270
                              x = 10
The exterior angles are 130 and 140°. The exterior angle and the interior angle always add up to 180°. 

Interior angle 1:   180° - 130° = 50°
Interior angle 2:    180° - 140° = 40°

Therefore, the measures of the two acute angles of the triangle are 50° and 40°. 
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Which weighs more, one that weighs 2/3 of a pound or one that weighs 5/6 of a pound?
xeze [42]

Answer:

5/6 of a pound

Step-by-step explanation:

When you multiply 2/3 by 2 it will equal 4/6 making it smaller then 5/6. and divide the fraction and you will see which is smaller.

4 0
3 years ago
Translate each verbal description into an algebraic expression. Simplify the expression when you can
REY [17]
Hello there!
So, let's start off with the first one:

A) 60% of One - half x

I believe a couple of possible equations would be: 0.60*1/2x or 0.60*0.5x. 1/2 and 0.5 both equal half of a number. The 0.60 would equal 60%. I'll plug 10 into x of both equations to see what I come up with:

First Equation:
1/2 * 10/1 = 10/2 or 5.
0.60 * 5 = 3

Second Equation:
0.5 * 10 = 5
0.60 * 5 = 3

So they both come up with the same answer, so that makes them both equal, which makes them both possible equations.

B) 7 times z reduced by a third of the product

7z - 1/3 seems like a good equation. Let me plug in 5 for z to solve:

7 * 5 = 35
Convert 35/1 into 105/3 by multiplying both sides by 3
105/3 - 1/3 = 104/3 (approx. 34.7)

C) Three-fourths of V subtracted from 6 times two-ninths

A good equation for this would probably be (6*2/9)-3/4v. I'll plug 5 into v to show how we would solve the equation:

6/1 * 2/9 = 12/9 or 1 1/3.
3/4 * 5/1 = 15/4 or 3 3/4.
(Use the fractions 16/12 and 45/12 as 16/12 = 12/9 and 15/4 = 45/12)
16/12 - 45/12 = -29/12 or −<span>2 <span>5/12</span></span>

D) Sum of 2x, (2/3 + 5) and 11-x

I think the right equation for this would be 2x + (2/3 + 5) + 11-x. Plug in 3 for x to solve:

(Use 15/3 when adding 2/3 and 5 because 5 = 15/3)
2/3 + 15/3 = 17/3 or 5 2/3
2 * 3 = 6
11 - 3 = 8
(Use 18/3 and 24/3 when adding up 6 + 5 2/3 + 8 as 6 = 18/3 and 8 = 24/3
17/3 + 18/3 + 24/3 = 59/3 or 19 2/3

Sorry if this confused you xD but, basically,  the possible equations are as follows:

1 = 0.60*1/2x or 0.60*0.5x
2 = 7z - 1/3
3 = <span>(6*2/9)-3/4v
</span>4 = 2x + (2/3 + 5) + 11-x

I hope this helped! If not, I'm very sorry. Algebra isn't my strong suit ^.^'

3 0
3 years ago
What is 24.051 rounded to the nearest hundredth? How did you solve it?
4vir4ik [10]
This is like late elementary/early middle school stuff where you learn this.
First off, what number is in the position of the hundereth place? 0? No. 1? No. 5 yes! Now how i learned how to round is you take  the number to the right of whatever you are being asked about and round it up or down. Now if the number (in this case it is 1) is lower than 5, you round down (or keep it the same) but if it is 5 or higher you round up. since 1 is lower then 5, that 5 in the hundereths place stays the same. 
7 0
3 years ago
Nnnnnnnoooooooooooooooooooo
alina1380 [7]
No youuuuuuuuuuuuuuuuu
7 0
3 years ago
Read 2 more answers
55) Louis started a simple interest savings account with $1500 that earned 3.5% interest. He left the account untouched until so
ASHA 777 [7]

Answer:

  3.5 years

Step-by-step explanation:

Each year, Louis earned

  $1500×0.035 = $52.50

in interest.

The amount of interest that had been credited to his account at the time of withdrawal was ...

  $1683.75 -1500.00 = $183.75

Then the length of time the money had been in the account was ...

  $183.75/($52.50/yr) = 3.5 yr

_____

<em>Comment on the problem</em>

We have assumed the account earned simple interest. Given the neatness of the answer, we believe that to be a correct assumption.

3 0
4 years ago
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