3 years ago

Explain why there must be two lines on any given plane.

Mathematics

1 answer:

777dan777 [17]3 years ago

8 0

Answer:

there must be at least two lines on any plane because a plane is defined by 3 non-collinear points.

Step-by-step explanation:

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Find the measures of the complementary angles that satisfy each case. One of the angles is 3 times larger than the other.

Nookie1986 [14]

Answer:

22.5° and 67.5°

Step-by-step explanation:

The sum of complementary angles equal 90°.

Given that one of the complementary angles is 3 times larger than the other, let "x" represent the other angle.

Thus, the following expression can be written to represent this case:

$x + 3x = 90$

Solve for x

$4x = 90$

Divide both sides by 4

$\frac{4x}{4} = \frac{90}{4}$

$x = 22.5$

The measure of the complementary angles are:

x = 22.5°

3x = 3(22.5) = 67.5°

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3 years ago

A rectangle has a base of 5 inches and a height of 7 inches. If the dimensions are cut in half, what will happen to the

madreJ [45]

Answer:

It will be one-fourth the original size

Step-by-step explanation:

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3 years ago

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What is the standard form of the following equation?

scZoUnD [109]

y = 2(x - 1)² + 4

y = 2(x² - 2x + 1) + 4

y = 2x² - 4x + 2 + 4

y = 2x² - 4x + 6

7 0

3 years ago

HELP you purchase a car using a $22,000 loan with a 6% simple interest rate for 5 years

Hunter-Best [27]

Answer: (a) $6,600

(b) $28,600

Step-by-step explanation:

Interest (I) = Principal (P) x rate (r) x time (t)

I = 22,000(0.06)(5)

= 6,600

Accrued (A) = Principal (P) + Interest (I)

A = 22,000 + 6,600

= 28,600

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4 years ago

Compare: 1.6 x 10^-5 and 1.62 x 104^-4 A) > B) < C) = D) none of the above

Andru [333]

The correct answer is d

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3 years ago