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slega [8]
2 years ago
9

How much can Sophia spend on party favors

Mathematics
1 answer:
Fantom [35]2 years ago
8 0
Think about you have a pizza. you have 6 people and a total of 12 slices. How many can each person get? 2. 

This is the same thing. $2.47 divided by 6 people = $0.46 cents each
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I need help? With proof for this one.
Schach [20]

Answer:

See below.

Step-by-step explanation:

ABC is an isosceles triangle with BA = BC.

That makes angles A and C congruent.

ABD is an isosceles triangle with AB = AD.

That makes angles ABD and ADB congruent.

Since m<ABD = 72 deg, then m<ADB = 72 deg.

Angles ADB and CDB are a linear pair which makes them supplementary.

m<ADB + m<BDC = 180 deg

72 deg + m<BDC = 180 deg

m<CDB = 108 deg

In triangle ABD, the sum of the measures of the angles is 180 deg.

m<A + m<ADB + m<ABD = 180 deg

m<A + 72 deg + 72 deg = 180 deg

m<A = 36 deg

m<C = 36 deg

In triangle BCD, the sum of the measures of the angles is 180 deg.

m<CBD + m<C + m<BDC = 180 deg

m<CBD + 36 deg + 108 deg = 180 deg

m<CBD = 36 deg

In triangle CBD, angles C and CBD measure 36 deg making them congruent.

Opposite sides DB and DC are congruent making triangle BCD isosceles.

3 0
2 years ago
Karen collects bugs. Each of her rare beetles weighs 4 ounces. The total weight of her collection is 32 ounces. How many pounds
aleksandrvk [35]
32/4= 8 so 8 ounces each
6 0
2 years ago
Help me pleaseeeeeee
liraira [26]

Answer: It's B

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Simplify the expression<br> 3⁵ ÷ 3³
chubhunter [2.5K]

Answer:

9

Step-by-step explanation:

3x3x3x3x3= 193u19283

3x3x3=something

=9

bingo

mathmatecian

e z pz

lemon queeze

4 0
2 years ago
Civil an airport, a factory, and a shopping center are at the vertices of a right triangle formed by three highways. the airport
vekshin1

Answer:

<em>The shortest possible length for the service road is 2.88 miles.</em>

Step-by-step explanation:

According to the below diagram, A, B and C are the positions of airport, shopping center and factory respectively.

Given that,  AB= 3.6 miles, BC= 4.8 miles and AC= 6.0 miles

In right triangle ABC

tan(\angle ACB)=\frac{AB}{BC} \\ \\ tan(\angle ACB)= \frac{3.6}{4.8}=0.75\\ \\ \angle ACB= tan^-^1(0.75)=36.8698.... degree

The shortest possible length for the service road from the shopping center to the highway that connects the airport and factory is BD.

That means, \triangle BCD is also a right triangle in which \angle BDC=90\°, Hypotenuse(BC)= 4.8 miles and BD is the opposite side in respect of \angle DCB or \angle ACB.

Now in right triangle BCD

Sin(\angle ACB)=\frac{BD}{BC}\\ \\ Sin(36.8698...)=\frac{BD}{4.8}\\ \\ BD=4.8*Sin(36.8698...)=2.88

So, the shortest possible length for the service road is 2.88 miles.

4 0
3 years ago
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