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KATRIN_1 [288]
3 years ago
9

If NML ~ SRL find the value of x.

Mathematics
1 answer:
katen-ka-za [31]3 years ago
7 0

Answer:

x = 5

Step-by-step explanation:

Since the triangles are similar, corrresponding sides are in proportion.

\frac{NM}{SR}  =  \frac{ML}{RL}  =  \frac{NL}{SL}

Using the equation formed by the second and third fraction above we get

\frac{28}{24} =  \frac{3x - 1}{x + 7}

28(x + 7) = 24(3x - 1)

28x + 196 = 72x - 24

44x = 220

x = 5

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Alborosie

Answer: You would need 5 men to paint a room in 3 hours

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6 0
3 years ago
Read 2 more answers
Seven less than the sum of p and t is as much as 6
I am Lyosha [343]

P + t -7 =6

10+3-7=6


10+3=13

13-7=6


P=10 t=3


5 0
3 years ago
sam had 70 erasers and rulers. after giving away 1/3 of his erasers and 10 rulers, he had an equal number of erasers and rulers
Radda [10]

Answer:

36 erasers

Step-by-step explanation:

Let number of erasers be e

let number of rulers be r

We can write:

e + r = 70

and

After giving away, he has

Erasers:  2/3e

Rulers:  r - 10

These two are equal, so we can write and solve:

2/3e = r - 10

2/3e + 10 = r

Putting this in initial equation, we have:

e + (2/3e + 10) = 70

5/3e + 10 = 70

5/3 e = 60

e = 36

And rulers is:

r = 2/3(36) + 10 = 34

Hence, he had 36 erasers in the beginning

4 0
4 years ago
Part 1: Create a scenario for an arithmetic sequence. For example, Jasmine practices the piano for ______ minutes on Monday. Eve
Maurinko [17]
Part 1: Create a scenario for an arithmetic sequence. For example, Jasmine practices the piano for ten minutes on Monday. Every day she adds her practice time by five minutes. If she continues this pattern, in the 7th day she will practice for 10 + 5 + 5 + 5 + 5 + 5 + 5 = 10 + 6(5) = 10 + (7 - 1)(5) = 20 + 30 = 40 minutes.
Hence the function for the 7th term in the sequence is a + (7 - 1)d = a + 6d where a is the number of minutes Jasmine practiced the piano on Monday and d is the additional number of minutes added by Jasmine to his practice time evey day.
3 0
3 years ago
A right triangle has side lengths of 0.6 meter and 0.8 meter. What is the length of the hypotenuse? Round to the nearest tenth.
Sonja [21]

Use the Pythagorean theorem since you are working with a right triangle:

a^2+b^2=c^2a2+b2=c2

The legs are a and b and the hypotenuse is c. The hypotenuse is always opposite the 90° angle. Insert the appropriate values:

0.8^2+0.6^2=c^20.82+0.62=c2

Solve for c. Simplify the exponents (x^2=x*xx2=x∗x ):

0.64+0.36=c^20.64+0.36=c2

Add:

1=c^21=c2

Isolate c. Find the square root of both sides:

\begin{gathered}\sqrt{1}=\sqrt{c^2}\\\\\sqrt{1}=c\end{gathered}1=c21=c

Simplify \sqrt{1}1 . Any root of 1 is 1:

c=c= ±11 *

c=1,-1c=1,−1

4 0
3 years ago
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