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musickatia [10]
3 years ago
7

PLEASE HELP ASAP CONGRUENCE IN RIGHT TRIANGLES

Mathematics
1 answer:
Pani-rosa [81]3 years ago
4 0

Answer:

We know that the angles of a triangle always add up to 180 degrees, and we also know that this triangle is congruent because it has the two dashes on the side of the triangle. We also know that x is 90 degrees but this is not drawn to  scale but we can just assume it is 90 degrees.

We can tackle the triangle on the right first subtracting 47 and 90 from 180 which will give us the angle y as angle DAC is congruent to angle BAC.

180-47-90=43.

We also know that angle x is 90 degrees already or at least we assume so but to further prove our point we know that angle BCA is congruent to angle CBA which makes angle CBA 47 degrees, so subtracting 43 and 47 from 180 we have 90 degrees.

Therefore y is 43 degrees and x is 90 degrees.

it's kinda confusing ngl

*assuming that x is a right angle

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22. Find the balance in an account with $900 earning 6.5% compounded<br> quarterly after 4 years
Helen [10]

Answer:

$1,164.80

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

<em />

First, we need to change 6.5% into a decimal:

6.5% -> \frac{6.5}{100} -> 0.065

Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:

A=900(1+\frac{0.065}{4})^{4(4)}

A=1,164.80

The balance after 4 years will be $1,164.80

3 0
4 years ago
A new tv costs 1500, a salesperson makes 3.25% commision for every sale, how much would the salesperson make for 1 tv sold.
son4ous [18]

Answer:

48.75

Step-by-step explanation:

The salesmen makes a commission of 3.25%. So to get the percent into a usable form for this take 3.25 and divided by 100. You get 0.0325.

Now you take the 0.0325 and mutliply it by the 1500. This gives you 48.75

6 0
3 years ago
Jack left a tip of $5.75 for his waiter. If this represents 20% of his meal, what was the cost, in dollars, of Jack’s meal witho
Readme [11.4K]

Answer:

Step-by-step explanation:

This is a commission problem. Here is the formula:

P x R

= 5.75 x 0.20

= $1.15

<em>Jack's tip was $1.15. :D</em>

Key: P = Original Price R = Commission Rate

7 0
3 years ago
Simplify the expression 2.8 - 4.5n - 2n + 8 =
shepuryov [24]

Answer:

10.8 - 2.5n

Step-by-step explanation:

2.8  + 8 = 10.8

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6 0
3 years ago
Evaluate the expression 15/3x-6, when x=4.
Softa [21]
The answer is:  " 5/2 ; or, write as:  "2 ½ " ; or, write as:  "2.5" .
___________________________________________________
15/ (3x - 6) ;

Substitute "4" for "x" ; and solve:
___________________________________________________

Note:  (3x -6) = 3(4) - 6 = 12 - 6 = 6 ; 

Rewrite the expression:

15/6 = (15 ÷ 3) / (6 ÷ 3) = 5/2 ; or, write as:  "2 <span>½ " ; or, write as:  "2.5" .
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6 0
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