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2 years ago

Please help Find the value of x, m∠5 = x-6, m∠4 = 2x+4, m∠2 = 2x-26

Mathematics

1 answer:

bazaltina [42]2 years ago

5 0

9514 1404 393

Answer:

x = 30 2/3

Step-by-step explanation:

Angles 4 and 5 are complementary, so we have ...

m∠4 +m∠5 = 90°

(2x +4) +(x -6) = 90

3x -2 = 90 . . . . . . . . . collect terms

3x = 92 . . . . . . . . . . add 2; next, divide by 3

x = 92/3 = 30 2/3

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Answer:

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2 years ago

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2 years ago

32 is 40% of what number? Enter your answer in the box.

Rufina [12.5K]

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2 years ago

Read 2 more answers

What is the simplified version of 3\sqrt{135}

Aleonysh [2.5K]

Answer:

The simplified version of $\sqrt[3]{135}$ is $3\sqrt[3]{5}$ .

Step-by-step explanation:

The given expression is

$\sqrt[3]{135}$

According to the property of radical expression.

$\sqrt[n]{x}=(x)^{\frac{1}{n}}$

Using this property we get

$\sqrt[3]{135}=(135)^{\frac{1}{3}}$

$\sqrt[3]{135}=(27\times 5)^{\frac{1}{3}}$

$\sqrt[3]{135}=(3^3\times 5)^{\frac{1}{3}}$

$\sqrt[3]{135}=(3^3)^{\frac{1}{3}}\times (5)^{\frac{1}{3}}$ $[\because (ab)^x=a^xb^x]$

$\sqrt[3]{135}=3\times \sqrt[3]{5}$ $[\because \sqrt[n]{x}=(x)^{\frac{1}{n}}]$

$\sqrt[3]{135}=3\sqrt[3]{5}$

Therefore the simplified version of $\sqrt[3]{135}$ is $3\sqrt[3]{5}$ .

7 0

3 years ago

Read 2 more answers

Savannah is 9 years older thanDevante. The sum of their ages is 53. How old are Savannah and Devante?

pickupchik [31]

Answer:

Devante is 23 and Savannah is 32.

Step-by-step explanation:

We can set up a system of equations.

s - savannah's age

d - devante's age

s = d + 9

s + d = 53

Now we can substitute (d + 9) for s in the second equation.

(d + 9) + d = 53

2d + 9 = 53

2d = 46

d = 23

To find Savannah's age, we just add 9 to Devante's age. (plugging in 23 for d)

23 + 9 = 32

s = 32

6 0

2 years ago