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2 years ago

Solve for x. x = 5° x = 18° x = 30° x = 36°

Mathematics

1 answer:

sergij07 [2.7K]2 years ago

3 0

Answer:

x=36

Step-by-step explanation:

The 2 angles, ∠EAF and ∠FAB are on a straight line. This means they are supplementary, and add to 180 degrees.

So,

∠EAF +∠FAB =180

We know that ∠EAF is 3x and ∠FAB is 2x, so we can substitute them in

3x+2x=180

Combine like terms

5x=180

Divide by 5 on both sides

x=36

So, x=36 degrees, or the last choice

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2 years ago

The measure of one angle is six more than half the measure of another angle. If the angles are complementary, find both measures

Snowcat [4.5K]

Answer:

The measures of the two angles are 34° and 56°

Step-by-step explanation:

* Lets explain how to solve the problem

- The complementary angles are the angles whose the sum

of their measures is 90°

- The measure of one angle is six more than half the measure

of another angle

- Let the measure of the second angle angle is x

∵ The measure of the 2nd angle is x

∵ The measure of the first angle is 6 more than the half of the

measure of the second angle

∴ The 1st angle is 6 + 1/2 x

∵ The two angles are complementary

∴ The sum of their measures is 90°

∴ x + (6 + 1/2 x) = 90

∴ (x + 1/2 x) + 6 = 90

∴ 3/2 x + 6 = 90

- Subtract 6 from both sides

∴ 3/2 x = 84

- Multiply both sides by

∴ 3x = 168

- Divide both sides by 3

∴ x = 56

∵ x is the measure of the 2nd angle

∴ The measure of the 2nd angle is 56°

∵ The measure of the 1st angle = 6 + 1/2 x

∵ x = 56

∴ The measure of the 1st angle = 6 + 1/2(56) = 34°

* The measures of the two angles are 34° and 56°

4 0

2 years ago

Solve for x in the equation below(all in picture).

EleoNora [17]

Answer:

x = - 5, x = 2

Step-by-step explanation:

Using the rules of logarithms

log x - log y = log ( $\frac{x}{y}$ )

$log_{b}$ x = n ⇔ x = $b^{n}$

note that log x = $log_{10}$ x

Given

log (x² + 3x) - log10 = 0, then

log( $\frac{x^2+3x}{10}$ ) = 0, thus

$\frac{x^2+3x}{10}$ = $10^{0}$ = 1 ( multiply both sides by 10 )

x² + 3x = 10 ( subtract 10 from both sides )

x² + 3x - 10 = 0 ← in standard form

(x + 5)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 2 = 0 ⇒ x = 2

Solution is x = - 5, x = 2

6 0

2 years ago

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$|xb - xa|$
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2 years ago

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Simplify. Y plus(15+ y) A.15y B.15+2y C.17y D.15+y

Arte-miy333 [17]

Answer:

2y+15

Step-by-step explanation:

y+(15+y)

y+15+y

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2 years ago

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