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3 years ago

What equivalent fractions can you use to find the sum of 2/8 + 3/9

Mathematics

2 answers:

KATRIN_1 [288]3 years ago

5 0

Conver them- 14/56 and 18/56 now add them and you would get 4/7 which is simplifed from 32/56

ipn [44]3 years ago

3 0

The least common multiple of 8 and 9 is 72.

2/8 x (9/9) = 18/72
3/9 x (8/8) = 24/72

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Angles of xyz are in the ratio 3:3:6. What are the measures of the angles

tankabanditka [31]

Let
x = 3a (first angle)
y = 3a (second angle)
z = 6a (third angle)

The total angle of a triangle is ALWAYS 180.
3a + 3a + 6a = 180
12a = 180
a = 15

Therefore, x = 45, y = 45, z = 90

4 0

3 years ago

an iron rod of length 7 upon 8 m was cut into two pieces one piece is 1 upon 7 m long what is the length of the other piece.

bixtya [17]

Answer:

other: $\frac{41}{56}$

Step-by-step explanation:

$\frac{7}{8} =\frac{1}{7} + x\\=> x= \frac{7}{8} - \frac{1}{7} \\=> x= \frac{49}{56} - \frac{8}{56} \\=> x= \frac{41}{56}$

8 0

3 years ago

In ΔPQR, what is the m∠Q? Enter your answer in the box.

Orlov [11]

Answer:

105°

Step-by-step explanation:

11x-5 + 6x+5 + x = 180

18x = 180

x = 10

m∠Q = 11(10)-5 = 110-5 = 105°

8 0

3 years ago

Solve: In 2x + In 2 = 0<br> DONE

pychu [463]

Answer:

$x=\frac{1}{4}$

Step-by-step explanation:

We can use some logarithmic rules to solve this easily.

<em>Note: Ln means $Log_e$ </em>

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Now, lets start with the equation:

$ln(2x) + ln(2) = 0\\ln(2x) = -ln(2)$

Writing left side with logarithmic base e, we have:

$Log_{e}(2x) = -ln(2)$

We can now use the property shown below to make this into exponential form:

$Log_{a}b=x\\means\\a^x=b$

So, we write:

$Log_{e}(2x) = -ln(2)\\e^{-ln(2)}=2x$

We recognize another property of exponentials:

$a^{bc}=(a^{b})^{c}$

So, we write:

$e^{-ln(2)}=2x\\(e^{ln(2)})^{-1}=2x$

Also, another property of natural logarithms is:

$e^{(ln(a))}=a$

Now, we simplify:

$(e^{ln(2)})^{-1}=2x\\(2)^{-1}=2x\\\frac{1}{2}=2x\\x=\frac{\frac{1}{2}}{2}\\x=\frac{1}{4}$

This is the answer.

7 0

3 years ago

What is the length of the hypotenuse?

Fofino [41]

Answer:

The hypotenuse of a right triangle is 13 cm hope i helped

Step-by-step explanation:

5 0

3 years ago