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professor190 [17]
3 years ago
9

Two of the angles in a triangle measure 15° and 27°. What is the measure of the third angle?

Mathematics
1 answer:
VashaNatasha [74]3 years ago
6 0

Answer:

103

Step-by-step explanation:

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Given that ABC~LMN<br> What is the length of AC?
sleet_krkn [62]

Answer:

B. 12

Step-by-step explanation:

✔️Find the value of x

The side lengths of two similar triangles are always proportional.

Given that ∆ABC ~ ∆LMN, therefore:

\frac{AB}{LM} = \frac{AC}{LN}

AB = 5

LM = 10

AC = x + 5

LN = 3x + 3

Plug in the values

\frac{5}{10} = \frac{x + 5}{3x + 3}

Cross multiply

5(3x + 3) = 10(x + 5)

15x + 15 = 10x + 50 (distributive property)

Collect like terms

15x - 10x = -15 + 50

5x = 35

Divide both sides by 5

x = 7

✔️Find AC

AC = x + 5

Plug in the value of x

AC = 7 + 5

AC = 12

6 0
3 years ago
i need help. Semir, Sarah, and SungSo decided to raise money for a local homeless shelter by working in a local deli. The deli a
IgorLugansk [536]
According to the question, 
Let,
"n" represent the number of miles semir walked.
"y" represent the number of miles sarah walked.
Now, according to the question,

y = 2n - 5  ........................this is your equation 
Also,
the question states, each of them collect $18 in pledges for every miles walked.

Given,
Sarah collected $450
Now, 

Using unitary method,

Sarah collects $18 for 1 mile
Sarah collects $1 for (1 / $18) mile
Sarah collects $450 for (1 / 18) * 450 mile
                                   = 25 miles
So, Sarah walks 25 miles.
Now,
Taking equation,
y = 2n - 5
Since, y is the no. of miles sarah walked, we can write 25 in place of "y" So,
(25) = 2n - 5
25 + 5 = 2n
30 = 2n
30 / 2 = n
15 = n

Since, "n" is the no. of miles that semir walked, Semir walked 15 miles.


7 0
3 years ago
Solve each system of equations algebraically y= x+5 y= -2x please help
Bas_tet [7]

Answer:

X= -5/3 Y= 10/3

Let me know if you need the work to be shown

7 0
3 years ago
It is 185 mi to fort Worth van drives 2 hours at 65 mph how far will he be from fort Worth
zhuklara [117]

Answer:

It is 185 mi to fort Worth van drives 2 hours at 65 mph how far will he be from fort Worth

Step-by-step explanation:

It is 185 mi to fort Worth van drives 2 hours at 65 mph how far will he be from fort Worth

7 0
2 years ago
SOMEONE PLEASE HELP ME ASAP PLEASE!!!​
aniked [119]

Answer:

2, 1

Step-by-step explanation:

In the sequence, each number is half of the previous number.

So we would multiply by 1/2 or divide by 2 to find the next number.

We can test this with a few numbers:

64*1/2=32

16*1/2=8

So the first missing number is 1/2 of 4.

1/2*4=2

The second missing number is 1/2 of the first missing number.

1/2*2=1

8 0
3 years ago
Read 2 more answers
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