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2 years ago

If the m<7 = 115 degrees, find the measure of <2

2 answers:

3 0

If they are complementary angles, then we know that they have a sum of 180°.

∠7=115°
∠7+∠2=180°
plug in the data we know
115+∠2=180
subtract 115 from both sides
65°=∠2

Answer=65°

Eva8 [605]2 years ago

3 0

Answer:

<h2>The measure of $\angle 2$ is 115°.</h2>

Step-by-step explanation:

Now, assuming those angles are supplementary, then

$m\angle 7+ m \angle 2=180\°$

Beacuse, sumplementary angles sum 180\°, due to their position on a straight angle.

We know by given that $m \angle 7 =115\°$ , replacing this value, we have

$115\°+ m\angle 2= 180\°\\m \angle 2=180\° - 115\°\\m \angle 2= 65\°$

Therefore, the measure of $\angle 2$ is 115°.

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Given :

A = 25000

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r % = 9.6 % = 0.096

n = 12

To Find :

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Solution :

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2 years ago

Aidan is filling a new kiddie pool with water. The pool is the shape of a rectangular prism and is 3/4 foot deep, 6 1/2 feet wid

ss7ja [257]

Answer:292.5 is what i got but i saw somewhere where it say the volume of this pool is 1077.12 gallons of water.

Step-by-step explanation: hope this helps

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2 years ago

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2 years ago

A bicycle wheel with diameter 16 inches rides over a screw in the street. The screw is on level ground before it punctures the b

Julli [10]

Answer:

The correct option is;

16 inches

Step-by-step explanation:

The parameters of the motion given are;

The diameter, D of the bicycle = 16 inches;

The distance the bike moves (forward) after the screw punctures the tire = 56·π inches

We note that the circumference of the bicycle = π·D = π × 16 = 16·π inches

Therefore;

56·π inches/(16·π inches) = 3.5

Showing that the bicycle moves three and half complete turns (revolution) where after each complete turn, the screw starts from the bottom of the tire.

The height, h of the screw in the final half turn is given by the relation;

h = A×cos(Bx - C) + D

A = Amplitude of the motion = Diameter/2 = 16/2 = 8

P = The period of the motion 2·π/B

B·x = The angle described by the motion = Half of one revolution = π = 180°

C = Phase shift = π

D = The midline = Diameter/2 = 8 inches

Therefore;

h = 8×cos(π - π) + 8 = 16 inches

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2 years ago

Twenty-one boys and eight girls go on a camping trip. In how many ways can a group of six be selected to gather firewood, given

lorasvet [3.4K]

(a) there are 8C2 = 28 ways of picking 2 girls from 8
And there are 21C4 = 5985 ways of picking 4 boys

Required number of ways for 2g / 4b = 28 * 5985 = 167,580

(b) at least 2 girls means combinations of 2g/4b , 3g,3b , 4g/2b , 5g 1b or
6 girls.

2g/4b = 167,580 ways
3g/3b = 8C3 * 21C3 = 56 * 1330 = 74,480
4g/2b = 8C4* 21C2 = 70 * 210 = 14,700
5g 1b = 8C5* 21 = 56*21 = 1176
6 girls = 8C6 = 28

adding these up we get the answer to (b) which is 257,964

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2 years ago