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Vladimir79 [104]
3 years ago
13

∡1 and ∡2 are vertical angles. If m∡1 = 64°, find m∡2

Mathematics
2 answers:
mojhsa [17]3 years ago
8 0

Answer:

64 degrees

Step-by-step explanation:

Vertical angles are equal

icang [17]3 years ago
8 0

Answer:

m∡2 = 64°

Step-by-step explanation:

By definition of vertical angles, the angles opposite of each other are equal each other.

∴ IF ∡1 and ∡2 are vertical angles, AND m∡1 = 64°, THEN m∡2 = 64°. (CPCTC - Definition of Vertical Angles).

~

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Ugo [173]

Answer:

The height of the tree is approximately 21.4 feet

Step-by-step explanation:

We list out the question parameters first as follows;

The distance from the base of the tree where the angle of elevation is measured, d = 10 feet

The angle of elevation to the top of the tree from 10 feet from the base, θ = 65°

Let 'h' represent the height of the tree, then we have;

The line formed by the angle 65° angle, the height of the tree, 'h', and the distance 'd', form a right triangle with 'h' being the opposite leg to the given reference angle, 65°, and 'd' being the adjacent leg

By trigonometric ratio, we have;

tan(\theta) = \dfrac{Opposite \ leg \ length}{Adjacent\ leg \ length} = \dfrac{h}{d}

∴ h = d × tan(θ)

Plugging in the given values, we get;

h = 10 feet × tan(65°) = 21 feet 5\frac{11}{32} inches

∴  By rounding to the nearest tenth of a foot, the height of the tree, h ≈ 21.4 feet.

3 0
3 years ago
What’s 18/20 simplified
Savatey [412]

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GCD of 18 and 20 is 2

Divide both the numerator and denominator by the GCD

18 ÷ 2

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20 ÷ 2

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9

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5 0
3 years ago
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Select the correct answer. Two exterior angles of a triangle measure 135° and 100°. What are the measures of the interior angles
ozzi

Answer:

C

Step-by-step explanation:

interior angle + exterior angle are supplementary

interior angle = 180° - exterior angle

⇒ interior angle = 180° - 135° = 45°

and interior angle = 180° - 100° = 80°

The sum of the 3 angles in a triangle = 180°

To find the third interior angle, subtract the sum of the 2 interior angles from 180

third interior angle = 180° - (45 + 80 )° = 180° - 125° = 55°

interior angles are 45°, 55° and 80°


4 0
3 years ago
87 POINTS PLZ HELP Aman is adding –17 + 9. He wants to write –17 as the sum of two numbers so that one of the numbers, when adde
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Consider number 17. You know that

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-17=(-9)+(-8).

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-17+9=(-9)+(-8)+9=(-9+9)+(-8)=0+(-8)=-8.

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3 years ago
Which fraction shoes unit rate that is equal to the ratio 18:2
kati45 [8]

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Step-by-step explanation:

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