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Irina18 [472]
3 years ago
5

Help !! what is the m<|1

Mathematics
2 answers:
sertanlavr [38]3 years ago
7 0

Answer:

the angle of 1 is 68 degrees

In-s [12.5K]3 years ago
7 0

Answer:

\boxed {\boxed {\sf m \angle 1 = 68 \textdegree}}

Step-by-step explanation:

The 3 interior angles of a triangle must add to 180 degrees.

  • m∠1 + m∠2 + m∠3 = 180°

We don't know the measure of angle 1. We can say the measure of angle 2 is 61° and the measure of angle 3 is 51°.

  • m∠1 + 61° + 51°= 180°

Add the numbers on the left side.

  • m∠1 + 112° = 180°

We want to isolate the measure of angle 1.

112 is being added, so we must perform the inverse operation of subtraction.

  • m∠1 +112°-112°= 180°-112°
  • m∠1= 180° - 112°
  • m∠1=68°

The measure of angle 1 is 68 degrees.

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A ceiling fan with 16-in. blades rotates at 45 rpm.
Kobotan [32]

A. We're told the fan completes 45 full revolutions every minute. One full revolution is 2\pi\,\mathrm{rad}, so the fan has an angular speed of

\dfrac{2\pi\,\mathrm{rad}}{1\,\mathrm{rev}}\cdot\dfrac{45\,\mathrm{rev}}{\mathrm{min}}=90\pi\dfrac{\rm{rad}}{\rm{min}}

B. Throughout one full revolution of the fan, a point at the tip of one of the fan's blades travels the circumference of a circle with radius 16 in. The circumference is then 2\pi(16\,\mathrm{in})=32\pi\,\mathrm{in}. This means the linear speed is

\dfrac{32\pi\,\mathrm{in}}{1\,\mathrm{rev}}\cdot\dfrac{45\,\mathrm{rev}}{\mathrm{min}}=1440\pi\,\dfrac{\rm{in}}{\rm{min}}

8 0
3 years ago
Determine the equation of the circle graphed below.<br> SOON<br> (6,6)<br> (5, 3)
Anton [14]
(X-5)^2+(y-3)^2=10 is the answer
5 0
3 years ago
Which explanation about figures is correct? * A. All rhombuses are parallelograms. Parallelograms have 2 pairs of parallel sides
bezimeni [28]

Answer:

The correct option is;

A. All rhombuses are parallelograms. Parallelograms have 2 pairs of parallel sides. Therefore, all rhombuses have 2 pairs of parallel sides

Step-by-step explanation:

A rhombus is a quadrilateral that has all 4 sides, it has equal opposite angles and perpendicular diagonals that bisect one another  as well as having a pair of opposite parallel sides making it a parallelogram

A rhombus is similar to a parallelogram which also has equal opposite and parallel sided and equal opposite angles and the diagonals of a parallelogram also bisect each other.

4 0
3 years ago
The peaches are priced at three for $2. How much does one dozen cost? Write an equivalent ratio to find the answer. show your wo
AlekseyPX
Wouldn't it be 

3:2
since there's 3 for 2

and then for 12 you would get
12:8
5 0
4 years ago
Read 2 more answers
Please help thank you very much
sineoko [7]

Answer:

96

lower right

Step-by-step explanation:

Part 1

Givens

a1 = - 20

d = +4

n = 30

Equation

a30 = a1 + (n - 1)d

Solution

a30 = -20 + (30 - 1)*4

a30 = -20 + 29*4

a30 = - 20 + 116

a30 = 96

=====================

Part 2

Formula

Sum = (a1 + L)*n/2

n = 30

So only the two on the right can be considered

a1 = -20

L = 96

Sum = (-20 + 96)30/2 is the bottom right. D if you think of it that way.

8 0
3 years ago
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